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suhr/cl-filtered-v2.xml

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Temperaments from Xen Wiki
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cl-filtered-v2.xml
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<?xml version="1.0"?>
<root>
<section title="Amity family">
<section title="Amity">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1600000/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 3 6</row>
<row>0 -5 -13</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal amity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 3 6 -2</row>
<row>0 -5 -13 17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4375/4374</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 3 6 -2 21</row>
<row>0 -5 -13 17 -62</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 3 6 -2 21 17</row>
<row>0 -5 -13 17 -62 -47</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 3 6 -2 21 17 -1</row>
<row>0 -5 -13 17 -62 -47 18</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>324/323</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>400/399</ratio>
<ratio>456/455</ratio>
</commas>
<mapping>
<row>1 3 6 -2 21 17 -1 15</row>
<row>0 -5 -13 17 -62 -47 18 -38</row>
</mapping>
</section>
</section>
<section title="Hitchcock">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>1 3 6 -2 6</row>
<row>0 -5 -13 17 -9</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 3 6 -2 6 2</row>
<row>0 -5 -13 17 -9 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 3 6 -2 6 2 -1</row>
<row>0 -5 -13 17 -9 6 18</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
<ratio>171/170</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
</commas>
<mapping>
<row>1 3 6 -2 6 2 -1 0</row>
<row>0 -5 -13 17 -9 6 18 15</row>
</mapping>
</section>
</section>
<section title="Stalagmite">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>896/891</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 3 6 -2 -7</row>
<row>0 -5 -13 17 37</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 3 6 -2 -7 -11</row>
<row>0 -5 -13 17 37 52</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>1156/1155</ratio>
</commas>
<mapping>
<row>1 3 6 -2 -7 -11 -1</row>
<row>0 -5 -13 17 37 52 18</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
<ratio>343/342</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>1 3 6 -2 -7 -11 -1 -13</row>
<row>0 -5 -13 17 37 52 18 61</row>
</mapping>
</section>
</section>
<section title="Hemiamity">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4374</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>2 1 -1 13 13</row>
<row>0 5 13 -17 -14</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>847/845</ratio>
<ratio>1716/1715</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>2 1 -1 13 13 20</row>
<row>0 5 13 -17 -14 -29</row>
</mapping>
</section>
</section>
</section>
<section title="Accord">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>100352/98415</ratio>
</commas>
<mapping legend="1">
<row>1 3 6 11</row>
<row>0 -5 -13 -29</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 3 6 11 6</row>
<row>0 -5 -13 -29 -9</row>
</mapping>
</section>
</section>
<section title="Houborizic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1250000/1240029</ratio>
</commas>
<mapping legend="1">
<row>1 3 6 13</row>
<row>0 -5 -13 -36</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>1250000/1240029</ratio>
</commas>
<mapping>
<row>1 3 6 13 -9</row>
<row>0 -5 -13 -36 44</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 3 6 13 -9 2</row>
<row>0 -5 -13 -36 44 6</row>
</mapping>
</section>
</section>
<section title="Houbor">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>1 3 6 13 6</row>
<row>0 -5 -13 -36 -9</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 3 6 13 6 2</row>
<row>0 -5 -13 -36 -9 6</row>
</mapping>
</section>
</section>
</section>
<section title="Paramity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 3 6 -17</row>
<row>0 -5 -13 70</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>6250/6237</ratio>
<ratio>19712/19683</ratio>
<ratio>41503/41472</ratio>
</commas>
<mapping>
<row>1 3 6 -17 36</row>
<row>0 -5 -13 70 -115</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 3 6 -17 36 17</row>
<row>0 -5 -13 70 -115 -47</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1225/1224</ratio>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
<ratio>2431/2430</ratio>
</commas>
<mapping>
<row>1 3 6 -17 36 17 -31</row>
<row>0 -5 -13 70 -115 -47 124</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1225/1224</ratio>
<ratio>1540/1539</ratio>
<ratio>1729/1728</ratio>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 3 6 -17 36 17 -31 15</row>
<row>0 -5 -13 70 -115 -47 124 -38</row>
</mapping>
</section>
</section>
<section title="Bamity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>64827/64000</ratio>
</commas>
<mapping legend="1">
<row>2 1 -1 3</row>
<row>0 5 13 6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>245/243</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 1 -1 3 3</row>
<row>0 5 13 6 9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>245/243</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 1 -1 3 3 0</row>
<row>0 5 13 6 9 17</row>
</mapping>
</section>
</section>
<section title="Hamity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2430/2401</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping legend="1">
<row>1 8 19 15</row>
<row>0 -10 -26 -19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>1 8 19 15 15</row>
<row>0 -10 -26 -19 -18</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>275/273</ratio>
<ratio>572/567</ratio>
</commas>
<mapping>
<row>1 8 19 15 15 30</row>
<row>0 -10 -26 -19 -18 -41</row>
</mapping>
</section>
</section>
<section title="Gamity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>1071875/1062882</ratio>
</commas>
<mapping legend="1">
<row>1 13 32 -1</row>
<row>0 -15 -39 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>1071875/1062882</ratio>
</commas>
<mapping>
<row>1 13 32 -1 -11</row>
<row>0 -15 -39 5 19</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 13 32 -1 -11 -10</row>
<row>0 -15 -39 5 19 18</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>3773/3757</ratio>
</commas>
<mapping>
<row>1 13 32 -1 -11 -10 -2</row>
<row>0 -15 -39 5 19 18 8</row>
</mapping>
</section>
</section>
<section title="Trinity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>703125/702464</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 8 19 46</row>
<row>0 -15 -39 -101</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 8 19 46 18</row>
<row>0 -15 -39 -101 -34</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
<ratio>13720/13689</ratio>
</commas>
<mapping>
<row>1 8 19 46 18 64</row>
<row>0 -15 -39 -101 -34 -141</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>833/832</ratio>
<ratio>1575/1573</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>1 8 19 46 18 64 -22</row>
<row>0 -15 -39 -101 -34 -141 61</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>833/832</ratio>
<ratio>969/968</ratio>
<ratio>1216/1215</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>1 8 19 46 18 64 -22 53</row>
<row>0 -15 -39 -101 -34 -141 61 -114</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>760/759</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>969/968</ratio>
<ratio>1105/1104</ratio>
</commas>
<mapping>
<row>1 8 19 46 18 64 -22 53 49</row>
<row>0 -15 -39 -101 -34 -141 61 -114 -104</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>760/759</ratio>
<ratio>784/783</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>969/968</ratio>
<ratio>1045/1044</ratio>
</commas>
<mapping>
<row>1 8 19 46 18 64 -22 53 49 72</row>
<row>0 -15 -39 -101 -34 -141 61 -114 -104 -157</row>
</mapping>
</section>
</section>
<section title="Amicable">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 3 6 5</row>
<row>0 -20 -52 -31</row>
</mapping>
<section title="Amical">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>131072/130977</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping>
<row>1 3 6 5 -8</row>
<row>0 -20 -52 -31 162</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
<ratio>4096/4095</ratio>
<ratio>741125/739206</ratio>
</commas>
<mapping>
<row>1 3 6 5 -8 -5</row>
<row>0 -20 -52 -31 162 123</row>
</mapping>
</section>
</section>
<section title="Amorous">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>6250/6237</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 3 6 5 14</row>
<row>0 -20 -52 -31 -149</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>1 3 6 5 14 17</row>
<row>0 -20 -52 -31 -149 -188</row>
</mapping>
</section>
</section>
<section title="Pseudoamical">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping>
<row>1 3 6 5 -1</row>
<row>0 -20 -52 -31 63</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>19773/19712</ratio>
</commas>
<mapping>
<row>1 3 6 5 -1 2</row>
<row>0 -20 -52 -31 63 24</row>
</mapping>
</section>
</section>
<section title="Pseudoamorous">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>980000/970299</ratio>
</commas>
<mapping>
<row>1 3 6 5 7</row>
<row>0 -20 -52 -31 -50</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>1875/1859</ratio>
</commas>
<mapping>
<row>1 3 6 5 7 10</row>
<row>0 -20 -52 -31 -50 -89</row>
</mapping>
</section>
</section>
<section title="Floral">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 6 12 10 13</row>
<row>0 -20 -52 -31 -43</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 6 12 10 13 19</row>
<row>0 -20 -52 -31 -43 -82</row>
</mapping>
</section>
</section>
<section title="Humorous">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping>
<row>1 3 6 5 3</row>
<row>0 -40 -104 -62 13</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>1 3 6 5 3 6</row>
<row>0 -40 -104 -62 13 -65</row>
</mapping>
</section>
</section>
</section>
<section title="Calamity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1600000/1594323</ratio>
<ratio>2100875/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 13 32 -15</row>
<row>0 -25 -65 39</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>12005/11979</ratio>
<ratio>131072/130977</ratio>
</commas>
<mapping>
<row>1 13 32 -15 -18</row>
<row>0 -25 -65 39 47</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
<ratio>12005/11979</ratio>
</commas>
<mapping>
<row>1 13 32 -15 -18 -31</row>
<row>0 -25 -65 39 47 76</row>
</mapping>
</section>
</section>
<section title="Familia">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 8 19 20</row>
<row>0 -25 -65 -67</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>1600000/1594323</ratio>
</commas>
<mapping>
<row>1 8 19 20 5</row>
<row>0 -25 -65 -67 -6</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1375/1372</ratio>
<ratio>2205/2197</ratio>
</commas>
<mapping>
<row>1 8 19 20 5 25</row>
<row>0 -25 -65 -67 -6 -83</row>
</mapping>
</section>
</section>
</section>
<section title="Whitewood family">
<section title="Whitewood">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>2187/2048</ratio>
</commas>
<mapping legend="1">
<row>7 11 0</row>
<row>0 0 1</row>
</mapping>
</section>
<section title="Septimal whitewood">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>2187/2048</ratio>
</commas>
<mapping legend="1">
<row>7 11 0 36</row>
<row>0 0 1 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>2079/2048</ratio>
</commas>
<mapping>
<row>7 11 0 36 8</row>
<row>0 0 1 -1 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>512/507</ratio>
</commas>
<mapping>
<row>7 11 0 36 8 26</row>
<row>0 0 1 -1 1 0</row>
</mapping>
</section>
</section>
<section title="Redwood">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>525/512</ratio>
<ratio>729/700</ratio>
</commas>
<mapping legend="1">
<row>7 11 0 52</row>
<row>0 0 1 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>385/384</ratio>
<ratio>729/700</ratio>
</commas>
<mapping>
<row>7 11 0 52 8</row>
<row>0 0 1 -2 1</row>
</mapping>
</section>
</section>
<section title="Mujannab">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>54/49</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="1">
<row>7 11 0 20</row>
<row>0 0 1 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>54/49</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>7 11 0 20 8</row>
<row>0 0 1 0 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>45/44</ratio>
<ratio>52/49</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>7 11 0 20 8 26</row>
<row>0 0 1 0 1 0</row>
</mapping>
</section>
</section>
<section title="Greenwood">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>405/392</ratio>
<ratio>1323/1280</ratio>
</commas>
<mapping legend="1">
<row>7 11 1 12</row>
<row>0 0 2 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>1323/1280</ratio>
</commas>
<mapping>
<row>7 11 1 12 9</row>
<row>0 0 2 1 2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>7 11 1 12 9 26</row>
<row>0 0 2 1 2 0</row>
</mapping>
</section>
</section>
</section>
<section title="Archytas clan">
<section title="Archy">
<subgroup>2.3.7</subgroup>
<commas>
<ratio>64/63</ratio>
</commas>
<mapping legend="2">
<row>1 0 6</row>
<row>0 1 -2</row>
</mapping>
<section title="Overview to extensions">
<section title="7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="Supra">
<subgroup>2.3.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 6 13</row>
<row>0 1 -2 -6</row>
</mapping>
<section title="Supraphon">
<subgroup>2.3.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 6 13 18</row>
<row>0 1 -2 -6 -9</row>
</mapping>
</section>
</section>
</section>
<section title="Superpyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 0 -12 6</row>
<row>0 1 9 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 -12 6 -22</row>
<row>0 1 9 -2 16</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 -12 6 -22 -17</row>
<row>0 1 9 -2 16 13</row>
</mapping>
</section>
<section title="Uberpyth">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 -12 6 -22 26</row>
<row>0 1 9 -2 16 -14</row>
</mapping>
</section>
<section title="Thomas">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 1 -3 4 -6 4</row>
<row>0 2 18 -4 32 -1</row>
</mapping>
</section>
</section>
<section title="Suprapyth">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 -12 6 13</row>
<row>0 1 9 -2 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>65/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 -12 6 13 18</row>
<row>0 1 9 -2 -6 -9</row>
</mapping>
</section>
</section>
</section>
<section title="Quasisuper">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>2430/2401</ratio>
</commas>
<mapping legend="1">
<row>1 0 23 6</row>
<row>0 1 -13 -2</row>
</mapping>
<section title="Quasisupra">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 0 23 6 13</row>
<row>0 1 -13 -2 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 0 23 6 13 18</row>
<row>0 1 -13 -2 -6 -9</row>
</mapping>
</section>
</section>
<section title="Quasisoup">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>2430/2401</ratio>
</commas>
<mapping>
<row>1 0 23 6 -22</row>
<row>0 1 -13 -2 16</row>
</mapping>
</section>
</section>
<section title="Ultrapyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>6860/6561</ratio>
</commas>
<mapping legend="1">
<row>1 0 -20 6</row>
<row>0 1 14 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>2401/2376</ratio>
</commas>
<mapping>
<row>1 0 -20 6 21</row>
<row>0 1 14 -2 -11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>91/90</ratio>
<ratio>1573/1568</ratio>
</commas>
<mapping>
<row>1 0 -20 6 21 -25</row>
<row>0 1 14 -2 -11 18</row>
</mapping>
</section>
</section>
<section title="Ultramarine">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>3773/3645</ratio>
</commas>
<mapping>
<row>1 0 -20 6 -38</row>
<row>0 1 14 -2 26</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 -20 6 -38 -25</row>
<row>0 1 14 -2 26 18</row>
</mapping>
</section>
</section>
</section>
<section title="Quasiultra">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>33614/32805</ratio>
</commas>
<mapping legend="1">
<row>1 0 31 6</row>
<row>0 1 -18 -2</row>
</mapping>
</section>
<section title="Schism">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>360/343</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 6</row>
<row>0 1 -8 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 15 6 13</row>
<row>0 1 -8 -2 -6</row>
</mapping>
</section>
</section>
<section title="Beatles">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>686/675</ratio>
</commas>
<mapping legend="1">
<row>1 1 5 4</row>
<row>0 2 -9 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 1 5 4 10</row>
<row>0 2 -9 -4 -22</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 1 5 4 10 4</row>
<row>0 2 -9 -4 -22 -1</row>
</mapping>
</section>
</section>
<section title="Ringo">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 1 5 4 2</row>
<row>0 2 -9 -4 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 1 5 4 2 4</row>
<row>0 2 -9 -4 5 -1</row>
</mapping>
</section>
</section>
<section title="Beetle">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 1 5 4 -1</row>
<row>0 2 -9 -4 15</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>91/90</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 1 5 4 -1 4</row>
<row>0 2 -9 -4 15 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Progress">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>392/375</ratio>
</commas>
<mapping legend="1">
<row>1 0 5 6</row>
<row>0 3 -5 -6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 0 5 6 4</row>
<row>0 3 -5 -6 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 0 5 6 4 0</row>
<row>0 3 -5 -6 -1 7</row>
</mapping>
</section>
<section title="Progressive">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 0 5 6 4 9</row>
<row>0 3 -5 -6 -1 -10</row>
</mapping>
</section>
</section>
</section>
<section title="Fervor">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>9604/9375</ratio>
</commas>
<mapping legend="1">
<row>1 -1 7 8</row>
<row>0 5 -9 -10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>1350/1331</ratio>
</commas>
<mapping>
<row>1 -1 7 8 4</row>
<row>0 5 -9 -10 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>1 -1 7 8 4 12</row>
<row>0 5 -9 -10 -1 -16</row>
</mapping>
</section>
</section>
<section title="Sixix">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>3125/2916</ratio>
</commas>
<mapping legend="1">
<row>1 3 4 0</row>
<row>0 -5 -6 10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>1 3 4 0 6</row>
<row>0 -5 -6 10 -9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>1 3 4 0 6 4</row>
<row>0 -5 -6 10 -9 -1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>85/84</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>1 3 4 0 6 4 1</row>
<row>0 -5 -6 10 -9 -1 11</row>
</mapping>
</section>
</section>
</section>
<section title="Archytas family">
<section title="Archytas">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 6</row>
<row>0 1 0 -2</row>
<row>0 0 1 0</row>
</mapping>
<mappingToLattice>
<row>0 1 0 -2</row>
<row>0 0 1 0</row>
</mappingToLattice>
</section>
<section title="Ares">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 6 2</row>
<row>0 1 0 -2 -2</row>
<row>0 0 1 0 2</row>
</mapping>
<mappingToLattice>
<row>0 1 1 -2 0</row>
<row>0 0 -1 0 -2</row>
</mappingToLattice>
</section>
<section title="Vulcan">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 6 9</row>
<row>0 1 0 -2 -2</row>
<row>0 0 1 0 -1</row>
</mapping>
</section>
</section>
<section title="Augmented family">
<section title="Augmented">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7</row>
<row>0 1 0</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal augmented (augene)">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 18</row>
<row>0 1 0 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>3 0 7 18 20</row>
<row>0 1 0 -2 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>3 0 7 18 20 16</row>
<row>0 1 0 -2 -2 -1</row>
</mapping>
</section>
<section title="Ogene">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>3 0 7 18 20 -8</row>
<row>0 1 0 -2 -2 4</row>
</mapping>
</section>
<section title="Agene">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>3 0 7 18 20 35</row>
<row>0 1 0 -2 -2 -5</row>
</mapping>
</section>
</section>
<section title="Eugene">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>3 0 7 18 -4</row>
<row>0 1 0 -2 3</row>
</mapping>
</section>
</section>
<section title="August">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 -1</row>
<row>0 1 0 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>3 0 7 -1 1</row>
<row>0 1 0 2 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>3 0 7 -1 1 -3</row>
<row>0 1 0 2 2 3</row>
</mapping>
</section>
<section title="Augustus">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>3 0 7 -1 1 11</row>
<row>0 1 0 2 2 0</row>
</mapping>
</section>
</section>
</section>
<section title="Inflated">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 -6</row>
<row>0 1 0 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>55/54</ratio>
<ratio>128/125</ratio>
</commas>
<mapping>
<row>3 0 7 -6 -4</row>
<row>0 1 0 3 3</row>
</mapping>
</section>
</section>
<section title="Deflated">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 13</row>
<row>0 1 0 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>33/32</ratio>
<ratio>128/125</ratio>
</commas>
<mapping>
<row>3 0 7 13 15</row>
<row>0 1 0 -1 -1</row>
</mapping>
</section>
</section>
<section title="Hexe">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>6 0 14 17</row>
<row>0 1 0 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>6 0 14 17 21</row>
<row>0 1 0 0 0</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>105/104</ratio>
</commas>
<mapping>
<row>6 0 14 17 21 13</row>
<row>0 1 0 0 0 1</row>
</mapping>
</section>
</section>
<section title="Triforce">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 6</row>
<row>0 2 0 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>3 0 7 6 8</row>
<row>0 2 0 1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>3 0 7 6 8 4</row>
<row>0 2 0 1 1 3</row>
</mapping>
</section>
<section title="Semitriforce">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>6 0 14 12 16 27</row>
<row>0 2 0 1 1 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Hemiaug">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>3 1 7 -1</row>
<row>0 2 0 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>3 1 7 -1 1</row>
<row>0 2 0 5 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>128/125</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>3 1 7 -1 1 13</row>
<row>0 2 0 5 5 -1</row>
</mapping>
</section>
</section>
<section title="Hemiug">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>1323/1250</ratio>
</commas>
<mapping legend="1">
<row>3 1 7 14</row>
<row>0 2 0 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>1323/1250</ratio>
</commas>
<mapping>
<row>3 1 7 14 16</row>
<row>0 2 0 -3 -3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>105/104</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>3 1 7 14 16 13</row>
<row>0 2 0 -3 -3 -1</row>
</mapping>
</section>
</section>
<section title="Oodako">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>3 3 7 8</row>
<row>0 4 0 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>3 3 7 8 10</row>
<row>0 4 0 1 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>128/125</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>3 3 7 8 10 12</row>
<row>0 4 0 1 1 -2</row>
</mapping>
</section>
</section>
<section title="Hemisemiaug">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>12005/11664</ratio>
</commas>
<mapping legend="1">
<row>6 1 14 4</row>
<row>0 2 0 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>3773/3645</ratio>
</commas>
<mapping>
<row>6 1 14 4 8</row>
<row>0 2 0 3 3</row>
</mapping>
</section>
</section>
<section title="Trisected">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 10</row>
<row>0 3 0 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping>
<row>3 0 7 10 12</row>
<row>0 3 0 -1 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>128/125</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping>
<row>3 0 7 10 12 0</row>
<row>0 3 0 -1 -1 7</row>
</mapping>
</section>
</section>
<section title="Niner">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>686/675</ratio>
</commas>
<mapping legend="1">
<row>9 0 21 11</row>
<row>0 1 0 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>9 0 21 11 17</row>
<row>0 1 0 1 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>128/125</ratio>
</commas>
<mapping>
<row>9 0 21 11 17 19</row>
<row>0 1 0 1 1 1</row>
</mapping>
</section>
</section>
<section title="Trug">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>128/125</ratio>
<ratio>360/343</ratio>
</commas>
<mapping legend="1">
<row>3 1 7 6</row>
<row>0 3 0 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
<ratio>360/343</ratio>
</commas>
<mapping>
<row>3 1 7 6 8</row>
<row>0 3 0 2 2</row>
</mapping>
</section>
</section>
<section title="Subgroup extensions">
<section title="Augmented (2.3.5.19 subgroup)">
<subgroup>2.3.5.19</subgroup>
<commas>
<ratio>76/75</ratio>
<ratio>96/95</ratio>
</commas>
<mapping legend="2">
<row>3 0 7 8</row>
<row>0 1 0 1</row>
</mapping>
</section>
</section>
<section title="External links"/>
</section>
<section title="Avicennmic temperaments">
<section title="Submerged">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>525/512</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 -6 3 9</row>
<row>0 11 -1 -9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>441/440</ratio>
<ratio>525/512</ratio>
</commas>
<mapping>
<row>1 -6 3 9 0</row>
<row>0 11 -1 -9 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>65/64</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 -6 3 9 0</row>
<row>0 11 -1 -9 5</row>
</mapping>
</section>
</section>
</section>
<section title="Breed family">
<section title="Breed">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2</row>
<row>0 2 1 1</row>
<row>0 0 2 1</row>
</mapping>
<mappingToLattice>
<row>0 2 -1 0</row>
<row>0 0 -2 -1</row>
</mappingToLattice>
</section>
<section title="Jove">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2 2</row>
<row>0 2 1 1 5</row>
<row>0 0 2 1 0</row>
</mapping>
<section title="Jovial">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1</row>
<row>0 2 1 1 5 11</row>
<row>0 0 2 1 0 -1</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1 3</row>
<row>0 2 1 1 5 11 9</row>
<row>0 0 2 1 0 -1 -3</row>
</mapping>
</section>
<section title="Heartlandia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>1452/1445</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1 3</row>
<row>0 4 0 1 10 23 12</row>
<row>0 0 2 1 0 -1 -1</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>171/170</ratio>
<ratio>243/242</ratio>
<ratio>324/323</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1 3 3</row>
<row>0 4 0 1 10 23 12 4</row>
<row>0 0 2 1 0 -1 -1 1</row>
</mapping>
</section>
</section>
</section>
<section title="Jovis">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 2</row>
<row>0 2 1 1 5 -3</row>
<row>0 0 2 1 0 5</row>
</mapping>
</section>
<section title="Jofur">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 4</row>
<row>0 2 1 1 5 -1</row>
<row>0 0 2 1 0 0</row>
</mapping>
</section>
</section>
<section title="Agni">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2 5</row>
<row>0 2 1 1 0</row>
<row>0 0 2 1 -3</row>
</mapping>
<mappingToLattice>
<row>0 2 1 1 0</row>
<row>0 0 2 1 -3</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 1 1 2 5 -1</row>
<row>0 2 1 1 0 2</row>
<row>0 0 2 1 -3 8</row>
</mapping>
</section>
</section>
<section title="Zisa">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2 -3</row>
<row>0 2 1 1 8</row>
<row>0 0 2 1 8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 1 1 2 -3 7</row>
<row>0 2 1 1 8 -6</row>
<row>0 0 2 1 8 -3</row>
</mapping>
</section>
</section>
<section title="Lif">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>131072/130977</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2 8</row>
<row>0 2 1 1 -12</row>
<row>0 0 2 1 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 1 1 2 8 7</row>
<row>0 2 1 1 -12 -6</row>
<row>0 0 2 1 -2 -3</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.19 subgroup">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>1216/1215</ratio>
<ratio>1729/1728</ratio>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>1 1 1 2 8 7 0</row>
<row>0 2 1 1 -12 -6 11</row>
<row>0 0 2 1 -2 -3 2</row>
</mapping>
</section>
</section>
<section title="Baldur">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping legend="1">
<row>2 0 1 3 7</row>
<row>0 2 1 1 -2</row>
<row>0 0 2 1 3</row>
</mapping>
<section title="Greenland">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>2 0 1 3 7 -1</row>
<row>0 2 1 1 -2 4</row>
<row>0 0 2 1 3 2</row>
</mapping>
<section title="Midnatssol">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>442/441</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>2 0 1 3 7 -1 5</row>
<row>0 2 1 1 -2 4 2</row>
<row>0 0 2 1 3 2 0</row>
</mapping>
</section>
</section>
</section>
<section title="Freya">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping legend="1">
<row>1 1 -1 1 5</row>
<row>0 2 3 2 1</row>
<row>0 0 4 2 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 1 -1 1 5 10</row>
<row>0 2 3 2 1 -9</row>
<row>0 0 4 2 -3 -6</row>
</mapping>
</section>
<section title="Eir">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>1 1 -1 1 5 5</row>
<row>0 2 3 2 1 6</row>
<row>0 0 4 2 -3 -5</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>1225/1224</ratio>
<ratio>2058/2057</ratio>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>1 1 -1 1 5 5 -5</row>
<row>0 2 3 2 1 6 6</row>
<row>0 0 4 2 -3 -5 12</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>1225/1224</ratio>
<ratio>1540/1539</ratio>
<ratio>2080/2079</ratio>
<ratio>3136/3135</ratio>
<ratio>4200/4199</ratio>
</commas>
<mapping>
<row>1 1 -1 1 5 5 -5 3</row>
<row>0 2 3 2 1 6 6 -2</row>
<row>0 0 4 2 -3 -5 12 3</row>
</mapping>
</section>
</section>
<section title="Heimlaug">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>1 1 -1 1 5 -6</row>
<row>0 2 3 2 1 6</row>
<row>0 0 4 2 -3 13</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1001/1000</ratio>
<ratio>1225/1224</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>1 1 -1 1 5 -6 -5</row>
<row>0 2 3 2 1 6 6</row>
<row>0 0 4 2 -3 13 12</row>
</mapping>
</section>
</section>
</section>
<section title="Vili">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>391314/390625</ratio>
</commas>
<mapping legend="1">
<row>1 1 -1 1 -4</row>
<row>0 2 3 2 6</row>
<row>0 0 6 3 14</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 1 -1 1 -4 3</row>
<row>0 2 3 2 6 1</row>
<row>0 0 6 3 14 1</row>
</mapping>
</section>
</section>
<section title="Frigg">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>644204/643125</ratio>
</commas>
<mapping legend="1">
<row>1 1 -7 -2 -7</row>
<row>0 2 3 2 4</row>
<row>0 0 10 5 11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>1 1 -7 -2 -7 -9</row>
<row>0 2 3 2 4 3</row>
<row>0 0 10 5 11 14</row>
</mapping>
</section>
</section>
<section title="Ennealimmic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>9 1 1 12 0</row>
<row>0 2 3 2 0</row>
<row>0 0 0 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>9 1 1 12 0 -31</row>
<row>0 2 3 2 0 5</row>
<row>0 0 0 0 1 1</row>
</mapping>
</section>
</section>
</section>
<section title="Breedsmic temperaments">
<section title="Tertiaseptal">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>1 -19 7 0</row>
<row>0 22 -5 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>1 -19 7 0 -48</row>
<row>0 22 -5 3 55</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -19 7 0 -48 43</row>
<row>0 22 -5 3 55 -42</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -19 7 0 -48 43 49</row>
<row>0 22 -5 3 55 -42 -48</row>
</mapping>
</section>
</section>
<section title="Tertia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -19 7 0 -19</row>
<row>0 22 -5 3 24</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -19 7 0 -19 43</row>
<row>0 22 -5 3 24 -42</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>561/560</ratio>
<ratio>625/624</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -19 7 0 -19 43 49</row>
<row>0 22 -5 3 24 -42 -48</row>
</mapping>
</section>
</section>
<section title="Tertiaseptia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>6250/6237</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112</row>
<row>0 22 -5 3 -116</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112 43</row>
<row>0 22 -5 3 -116 -42</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>833/832</ratio>
<ratio>1156/1155</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112 43 49</row>
<row>0 22 -5 3 -116 -42 -48</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>833/832</ratio>
<ratio>1156/1155</ratio>
<ratio>1216/1215</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112 43 49 -94</row>
<row>0 22 -5 3 -116 -42 -48 105</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>1105/1104</ratio>
<ratio>1156/1155</ratio>
<ratio>1216/1215</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112 43 49 -94 114</row>
<row>0 22 -5 3 -116 -42 -48 105 -117</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>784/783</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>1015/1014</ratio>
<ratio>1105/1104</ratio>
<ratio>1156/1155</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112 43 49 -94 114 61</row>
<row>0 22 -5 3 -116 -42 -48 105 -117 -60</row>
</mapping>
</section>
<section title="31-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29.31</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>714/713</ratio>
<ratio>784/783</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>900/899</ratio>
<ratio>931/930</ratio>
<ratio>1015/1014</ratio>
</commas>
<mapping>
<row>1 -19 7 0 112 43 49 -94 114 61 -83</row>
<row>0 22 -5 3 -116 -42 -48 105 -117 -60 94</row>
</mapping>
</section>
</section>
<section title="Hemitert">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>1 -41 12 -3 -73</row>
<row>0 44 -10 6 79</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1575/1573</ratio>
<ratio>2401/2400</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 -41 12 -3 -73 85</row>
<row>0 44 -10 6 79 -84</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>833/832</ratio>
<ratio>1225/1224</ratio>
<ratio>1575/1573</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 -41 12 -3 -73 85 97</row>
<row>0 44 -10 6 79 -84 -96</row>
</mapping>
</section>
</section>
<section title="Semitert">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>2 -16 9 3 47</row>
<row>0 22 -5 3 -46</row>
</mapping>
</section>
</section>
<section title="Emmthird">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>14348907/14336000</ratio>
</commas>
<mapping legend="1">
<row>1 -3 -17 -8</row>
<row>0 14 59 33</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>1792000/1771561</ratio>
</commas>
<mapping>
<row>1 -3 -17 -8 -8</row>
<row>0 14 59 33 35</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -3 -17 -8 -8 -13</row>
<row>0 14 59 33 35 51</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -3 -17 -8 -8 -13 9</row>
<row>0 14 59 33 35 51 -15</row>
</mapping>
</section>
</section>
<section title="Hemififths">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 1 -5 -1</row>
<row>0 2 25 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 1 -5 -1 2</row>
<row>0 2 25 13 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 1 -5 -1 2 4</row>
<row>0 2 25 13 5 -1</row>
</mapping>
</section>
</section>
<section title="Semihemi">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3388/3375</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>2 0 -35 -15 -47</row>
<row>0 2 25 13 34</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>676/675</ratio>
<ratio>847/845</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>2 0 -35 -15 -47 -37</row>
<row>0 2 25 13 34 28</row>
</mapping>
</section>
</section>
<section title="Quadrafifths">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 1 -5 -1 8</row>
<row>0 4 50 26 -31</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>847/845</ratio>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>1 1 -5 -1 8 10</row>
<row>0 4 50 26 -31 -43</row>
</mapping>
</section>
</section>
<section title="Cutefourths">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>4000/3993</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 -1 -30 -14 -28</row>
<row>0 6 75 39 73</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>847/845</ratio>
<ratio>1575/1573</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>1 -1 -30 -14 -28 -20</row>
<row>0 6 75 39 73 55</row>
</mapping>
</section>
</section>
</section>
<section title="Osiris">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>31381059609/31360000000</ratio>
</commas>
<mapping legend="1">
<row>1 13 33 21</row>
<row>0 32 86 51</row>
</mapping>
</section>
<section title="Quasiorwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>29360128/29296875</ratio>
</commas>
<mapping legend="1">
<row>1 -7 3 1</row>
<row>0 38 -3 8</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>1 -7 3 1 -11</row>
<row>0 38 -3 8 64</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 -7 3 1 -11 22</row>
<row>0 38 -3 8 64 -81</row>
</mapping>
</section>
</section>
<section title="Quinmite">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>1959552/1953125</ratio>
</commas>
<mapping legend="1">
<row>1 -7 -5 -3</row>
<row>0 34 29 23</row>
</mapping>
</section>
<section title="Newt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>33554432/33480783</ratio>
</commas>
<mapping legend="1">
<row>1 1 19 11</row>
<row>0 2 -57 -28</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 1 19 11 -10</row>
<row>0 2 -57 -28 46</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 1 19 11 -10 -20</row>
<row>0 2 -57 -28 46 81</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.19 subgroup (neonewt)">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>1216/1215</ratio>
<ratio>1540/1539</ratio>
<ratio>1729/1728</ratio>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>1 1 19 11 -10 -20 18</row>
<row>0 2 -57 -28 46 81 -47</row>
</mapping>
</section>
</section>
<section title="Septidiasemi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>2152828125/2147483648</ratio>
</commas>
<mapping legend="1">
<row>1 -1 6 4</row>
<row>0 26 -37 -12</row>
</mapping>
<section title="Sedia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>939524096/935859375</ratio>
</commas>
<mapping>
<row>1 -1 6 4 -3</row>
<row>0 26 -37 -12 65</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>2200/2197</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -1 6 4 -3 4</row>
<row>0 26 -37 -12 65 -3</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>833/832</ratio>
<ratio>2200/2197</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -1 6 4 -3 4 2</row>
<row>0 26 -37 -12 65 -3 21</row>
</mapping>
</section>
</section>
</section>
<section title="Subneutral">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>274877906944/274658203125</ratio>
</commas>
<mapping legend="1">
<row>1 -41 8 -5</row>
<row>0 60 -8 11</row>
</mapping>
</section>
<section title="Maviloid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>1224440064/1220703125</ratio>
</commas>
<mapping legend="1">
<row>1 -21 -22 -15</row>
<row>0 52 56 41</row>
</mapping>
</section>
<section title="Lockerbie">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<monzo>24 13 -18 -1</monzo>
</commas>
<mapping legend="1">
<row>1 -25 -16 -13</row>
<row>0 74 51 44</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>766656/765625</ratio>
</commas>
<mapping>
<row>1 -25 -16 -13 -26</row>
<row>0 74 51 44 82</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>3025/3024</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 -25 -16 -13 -26 -6</row>
<row>0 74 51 44 82 27</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1001/1000</ratio>
<ratio>1225/1224</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 -25 -16 -13 -26 -6 -11</row>
<row>0 74 51 44 82 27 42</row>
</mapping>
</section>
</section>
<section title="Unthirds">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>68359375/68024448</ratio>
</commas>
<mapping legend="1">
<row>1 -13 -14 -9</row>
<row>0 42 47 34</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 -13 -14 -9 -8</row>
<row>0 42 47 34 33</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>1 -13 -14 -9 -8 -47</row>
<row>0 42 47 34 33 146</row>
</mapping>
</section>
</section>
<section title="Neominor">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>177147/175616</ratio>
</commas>
<mapping legend="1">
<row>1 -3 -29 -14</row>
<row>0 6 41 22</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>35937/35840</ratio>
</commas>
<mapping>
<row>1 -3 -29 -14 -8</row>
<row>0 6 41 22 15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 -3 -29 -14 -8 -7</row>
<row>0 6 41 22 15 14</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 -3 -29 -14 -8 -7 -28</row>
<row>0 6 41 22 15 14 42</row>
</mapping>
</section>
</section>
<section title="Catafourth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>1 -15 -19 -12</row>
<row>0 28 36 25</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>78408/78125</ratio>
</commas>
<mapping>
<row>1 -15 -19 -12 -38</row>
<row>0 28 36 25 70</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 -15 -19 -12 -38 -4</row>
<row>0 28 36 25 70 13</row>
</mapping>
</section>
</section>
<section title="Cotritone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>390625/387072</ratio>
</commas>
<mapping legend="1">
<row>1 -13 -4 -4</row>
<row>0 30 13 14</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 -13 -4 -4 2</row>
<row>0 30 13 14 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 -13 -4 -4 2 -7</row>
<row>0 30 13 14 3 22</row>
</mapping>
</section>
</section>
<section title="Fibo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>341796875/339738624</ratio>
</commas>
<mapping legend="1">
<row>1 -27 -7 -9</row>
<row>0 46 15 19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>43923/43750</ratio>
</commas>
<mapping>
<row>1 -27 -7 -9 -4</row>
<row>0 46 15 19 12</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>847/845</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -27 -7 -9 -4 -5</row>
<row>0 46 15 19 12 14</row>
</mapping>
</section>
</section>
<section title="Quasimoha">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3645/3584</ratio>
</commas>
<mapping legend="1">
<row>1 1 9 6</row>
<row>0 2 -23 -11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>1815/1792</ratio>
</commas>
<mapping>
<row>1 1 9 6 2</row>
<row>0 2 -23 -11 5</row>
</mapping>
</section>
</section>
<section title="Mintone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>177147/175000</ratio>
</commas>
<mapping legend="1">
<row>1 -17 -34 -20</row>
<row>0 22 43 27</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>43923/43750</ratio>
</commas>
<mapping>
<row>1 -17 -34 -20 -43</row>
<row>0 22 43 27 55</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -17 -34 -20 -43 -36</row>
<row>0 22 43 27 55 47</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>561/560</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -17 -34 -20 -43 -36 10</row>
<row>0 22 43 27 55 47 -7</row>
</mapping>
</section>
</section>
<section title="Gorgik">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>28672/28125</ratio>
</commas>
<mapping legend="1">
<row>1 -13 8 2</row>
<row>0 18 -7 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>2401/2400</ratio>
<ratio>2560/2541</ratio>
</commas>
<mapping>
<row>1 -13 8 2 14</row>
<row>0 18 -7 1 -13</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
<ratio>512/507</ratio>
</commas>
<mapping>
<row>1 -13 8 2 14 11</row>
<row>0 18 -7 1 -13 -9</row>
</mapping>
</section>
</section>
<section title="Hemigoldis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>549755813888/533935546875</ratio>
</commas>
<mapping legend="1">
<row>1 21 -9 2</row>
<row>0 24 -14 -1</row>
</mapping>
</section>
<section title="Surmarvelpyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<monzo>93 -32 -17 -1</monzo>
</commas>
<mapping legend="1">
<row>1 -27 55 22</row>
<row>0 70 -129 -47</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>820125/819896</ratio>
<ratio>2097152/2096325</ratio>
</commas>
<mapping>
<row>1 -27 55 22 -19</row>
<row>0 70 -129 -47 55</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>4096/4095</ratio>
<ratio>6656/6655</ratio>
<ratio>24192/24167</ratio>
</commas>
<mapping>
<row>1 -27 55 22 -19 -11</row>
<row>0 70 -129 -47 55 36</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>2601/2600</ratio>
<ratio>4096/4095</ratio>
<ratio>6656/6655</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>1 -27 55 22 -19 -11 78</row>
<row>0 70 -129 -47 55 36 -181</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>2601/2600</ratio>
<ratio>2926/2925</ratio>
<ratio>3136/3135</ratio>
<ratio>3213/3211</ratio>
<ratio>5985/5984</ratio>
</commas>
<mapping>
<row>1 -27 55 22 -19 -11 78 41</row>
<row>0 70 -129 -47 55 36 -181 -90</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Bug family">
<section title="Bug">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>27/25</ratio>
</commas>
<mapping legend="1">
<row>1 0 0</row>
<row>0 -2 -3</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Beep">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>27/25</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 2</row>
<row>0 2 3 1</row>
</mapping>
<section title="Pentoid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>27/25</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 0 0 2 5</row>
<row>0 2 3 1 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>26/25</ratio>
<ratio>27/25</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 0 0 2 5 -1</row>
<row>0 2 3 1 -2 6</row>
</mapping>
</section>
</section>
<section title="Pento">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>27/25</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 0 2 -2</row>
<row>0 2 3 1 7</row>
</mapping>
</section>
</section>
<section title="Mite">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>27/25</ratio>
<ratio>28/25</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -2</row>
<row>0 2 3 6</row>
</mapping>
</section>
</section>
<section title="Cataharry family">
<section title="Cataharry">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -2</row>
<row>0 2 0 9</row>
<row>0 0 1 -1</row>
</mapping>
</section>
<section title="Albus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -2 6</row>
<row>0 2 0 9 -12</row>
<row>0 0 1 -1 3</row>
</mapping>
<section title="Madagascar">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 0 0 -2 6 -1</row>
<row>0 2 0 9 -12 3</row>
<row>0 0 1 -1 3 1</row>
</mapping>
<mappingToLattice>
<row>0 -2 -3 -6 3 -6</row>
<row>0 0 -1 1 -3 -1</row>
</mappingToLattice>
</section>
</section>
<section title="Snape">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -2 -7</row>
<row>0 2 0 9 22</row>
<row>0 0 1 -1 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 0 0 -2 -7 -1</row>
<row>0 2 0 9 22 3</row>
<row>0 0 1 -1 -3 1</row>
</mapping>
</section>
</section>
<section title="Hagrid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 -4 -1</row>
<row>0 2 0 9 5</row>
<row>0 0 1 -1 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 0 0 -4 -1 -2</row>
<row>0 2 0 9 5 3</row>
<row>0 0 1 -1 0 1</row>
</mapping>
</section>
</section>
<section title="Draco">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -2 -6</row>
<row>0 2 0 9 9</row>
<row>0 0 1 -1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 0 0 -2 -6 -1</row>
<row>0 2 0 9 9 3</row>
<row>0 0 1 -1 1 1</row>
</mapping>
</section>
</section>
</section>
<section title="Cataharry temperaments">
<section title="Swetneus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>19683/19600</ratio>
<ratio>50421/50000</ratio>
</commas>
<mapping legend="1">
<row>1 4 8 8</row>
<row>0 -20 -47 -43</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3388/3375</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping>
<row>1 4 8 8 13</row>
<row>0 -20 -47 -43 -79</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 4 8 8 13 13</row>
<row>0 -20 -47 -43 -79 -77</row>
</mapping>
</section>
</section>
<section title="Majvamoid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>19683/19600</ratio>
<ratio>29360128/29296875</ratio>
</commas>
<mapping legend="1">
<row>1 10 5 38</row>
<row>0 -22 -7 -92</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>5632/5625</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping>
<row>1 10 5 38 31</row>
<row>0 -22 -7 -92 -72</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>676/675</ratio>
<ratio>1573/1568</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 10 5 38 31 19</row>
<row>0 -22 -7 -92 -72 -40</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 10 5 38 31 19 6</row>
<row>0 -22 -7 -92 -72 -40 -5</row>
</mapping>
</section>
</section>
</section>
<section title="Diaschismic family">
<section title="Diaschismic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11</row>
<row>0 1 -2</row>
</mapping>
<section title="Overview to extensions">
<section title="7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="Srutal archagall">
<subgroup>2.3.5.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 5</row>
<row>0 1 -2 1</row>
</mapping>
</section>
</section>
<section title="Septimal diaschismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 31</row>
<row>0 1 -2 -8</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>2 0 11 31 45</row>
<row>0 1 -2 -8 -12</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 0 11 31 45 55</row>
<row>0 1 -2 -8 -12 -15</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 31 45 55 5</row>
<row>0 1 -2 -8 -12 -15 1</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.17.23 subgroup (Na&quot;Naa')">
<subgroup>2.3.5.7.11.13.17.23</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>231/230</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 31 45 55 5 63</row>
<row>0 1 -2 -8 -12 -15 1 -17</row>
</mapping>
</section>
</section>
<section title="Pajara">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 12</row>
<row>0 1 -2 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 0 11 12 26</row>
<row>0 1 -2 -2 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>65/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 0 11 12 26 1</row>
<row>0 1 -2 -2 -6 2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>52/51</ratio>
<ratio>64/63</ratio>
<ratio>65/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 0 11 12 26 1 5</row>
<row>0 1 -2 -2 -6 2 1</row>
</mapping>
</section>
</section>
<section title="Pajarina">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 0 11 12 26 36</row>
<row>0 1 -2 -2 -6 -9</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>85/84</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 0 11 12 26 36 5</row>
<row>0 1 -2 -2 -6 -9 1</row>
</mapping>
</section>
</section>
<section title="Pajarita">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>2 0 11 12 26 17</row>
<row>0 1 -2 -2 -6 -3</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
<ratio>85/84</ratio>
</commas>
<mapping>
<row>2 0 11 12 26 17 5</row>
<row>0 1 -2 -2 -6 -3 1</row>
</mapping>
</section>
</section>
</section>
<section title="Pajarous">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>2 0 11 12 -9</row>
<row>0 1 -2 -2 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>65/63</ratio>
</commas>
<mapping>
<row>2 0 11 12 -9 1</row>
<row>0 1 -2 -2 5 2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>52/51</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>65/63</ratio>
</commas>
<mapping>
<row>2 0 11 12 -9 1 5</row>
<row>0 1 -2 -2 5 2 1</row>
</mapping>
</section>
</section>
<section title="Pajaro">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>2 0 11 12 -9 17</row>
<row>0 1 -2 -2 5 -3</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>85/84</ratio>
</commas>
<mapping>
<row>2 0 11 12 -9 17 5</row>
<row>0 1 -2 -2 5 -3 1</row>
</mapping>
</section>
</section>
</section>
<section title="Pajaric">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>2 0 11 12 7</row>
<row>0 1 -2 -2 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>2 0 11 12 7 17</row>
<row>0 1 -2 -2 0 -3</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>34/33</ratio>
<ratio>40/39</ratio>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>2 0 11 12 7 17 5</row>
<row>0 1 -2 -2 0 -3 1</row>
</mapping>
</section>
</section>
<section title="Hemipaj">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>2 1 9 10 8</row>
<row>0 2 -4 -4 -1</row>
</mapping>
</section>
<section title="Hemifourths">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 0 11 12 -1</row>
<row>0 2 -4 -4 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 0 11 12 -1 9</row>
<row>0 2 -4 -4 5 -1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>85/84</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 0 11 12 -1 9 5</row>
<row>0 2 -4 -4 5 -1 2</row>
</mapping>
</section>
</section>
</section>
<section title="Srutal">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2048/2025</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 -42</row>
<row>0 1 -2 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>896/891</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28</row>
<row>0 1 -2 15 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28 -18</row>
<row>0 1 -2 15 11 8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28 -18 5</row>
<row>0 1 -2 15 11 8 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28 -18 5 -55</row>
<row>0 1 -2 15 11 8 1 20</row>
</mapping>
<section title="Srutaloo">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>208/207</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28 -18 5 -55 -10</row>
<row>0 1 -2 15 11 8 1 20 6</row>
</mapping>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>208/207</ratio>
<ratio>221/220</ratio>
<ratio>232/231</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28 -18 5 -55 -10 -76</row>
<row>0 1 -2 15 11 8 1 20 6 27</row>
</mapping>
</section>
<section title="31-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29.31</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>208/207</ratio>
<ratio>217/216</ratio>
<ratio>221/220</ratio>
<ratio>232/231</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 -42 -28 -18 5 -55 -10 -76 48</row>
<row>0 1 -2 15 11 8 1 20 6 27 -12</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Keen">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 -23</row>
<row>0 1 -2 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
<ratio>1232/1215</ratio>
</commas>
<mapping>
<row>2 0 11 -23 26</row>
<row>0 1 -2 9 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>1078/1053</ratio>
</commas>
<mapping>
<row>2 0 11 -23 26 -18</row>
<row>0 1 -2 9 -6 8</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>119/117</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>2 0 11 -23 26 -18 5</row>
<row>0 1 -2 9 -6 8 1</row>
</mapping>
</section>
</section>
<section title="Keenic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 0 11 -23 26 36</row>
<row>0 1 -2 9 -6 -9</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 -23 26 36 5</row>
<row>0 1 -2 9 -6 -9 1</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Bidia">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2048/2025</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>4 0 22 43</row>
<row>0 1 -2 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>896/891</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>4 0 22 43 71</row>
<row>0 1 -2 -5 -9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>4 0 22 43 71 -36</row>
<row>0 1 -2 -5 -9 8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>4 0 22 43 71 -36 10</row>
<row>0 1 -2 -5 -9 8 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>4 0 22 43 71 -36 10 17</row>
<row>0 1 -2 -5 -9 8 1 0</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>253/252</ratio>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>4 0 22 43 71 -36 10 17 -20</row>
<row>0 1 -2 -5 -9 8 1 0 6</row>
</mapping>
</section>
</section>
<section title="Shrutar">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 1 9 -2</row>
<row>0 2 -4 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>2 1 9 -2 8</row>
<row>0 2 -4 7 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>2 1 9 -2 8 -10</row>
<row>0 2 -4 7 -1 16</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>2 1 9 -2 8 -10 6</row>
<row>0 2 -4 7 -1 16 2</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>343/342</ratio>
</commas>
<mapping>
<row>2 1 9 -2 8 -10 6 -10</row>
<row>0 2 -4 7 -1 16 2 17</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>253/252</ratio>
<ratio>343/342</ratio>
</commas>
<mapping>
<row>2 1 9 -2 8 -10 6 -10 -4</row>
<row>0 2 -4 7 -1 16 2 17 12</row>
</mapping>
</section>
</section>
</section>
<section title="Shru">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>392/375</ratio>
<ratio>1323/1280</ratio>
</commas>
<mapping legend="1">
<row>2 1 9 11</row>
<row>0 2 -4 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
<ratio>1323/1280</ratio>
</commas>
<mapping>
<row>2 1 9 11 8</row>
<row>0 2 -4 -5 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
<ratio>105/104</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>2 1 9 11 8 15</row>
<row>0 2 -4 -5 -1 -7</row>
</mapping>
</section>
</section>
<section title="Sruti">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2048/2025</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 -15</row>
<row>0 2 -4 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>2 0 11 -15 -1</row>
<row>0 2 -4 13 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>2 0 11 -15 -1 9</row>
<row>0 2 -4 13 5 -1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>176/175</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>2 0 11 -15 -1 9 5</row>
<row>0 2 -4 13 5 -1 2</row>
</mapping>
</section>
</section>
<section title="Anguirus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 4</row>
<row>0 2 -4 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 0 11 4 -1</row>
<row>0 2 -4 1 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 0 11 4 -1 9</row>
<row>0 2 -4 1 5 -1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>119/117</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>2 0 11 4 -1 9 5</row>
<row>0 2 -4 1 5 -1 2</row>
</mapping>
</section>
</section>
<section title="Echidna">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 1 9 2</row>
<row>0 3 -6 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>2 1 9 2 12</row>
<row>0 3 -6 5 -7</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>2 1 9 2 12 19</row>
<row>0 3 -6 5 -7 -16</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>2 1 9 2 12 19 6</row>
<row>0 3 -6 5 -7 -16 3</row>
</mapping>
</section>
</section>
<section title="Echidnic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>2 2 7 6</row>
<row>0 3 -6 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>2 2 7 6 3</row>
<row>0 3 -6 -1 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>169/168</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 2 7 6 3 7</row>
<row>0 3 -6 -1 10 1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 2 7 6 3 7 7</row>
<row>0 3 -6 -1 10 1 3</row>
</mapping>
</section>
</section>
<section title="Quadrasruta">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2048/2025</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 8</row>
<row>0 4 -8 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>896/891</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping>
<row>2 0 11 8 22</row>
<row>0 4 -8 -3 -19</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>512/507</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>2 0 11 8 22 9</row>
<row>0 4 -8 -3 -19 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>170/169</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>2 0 11 8 22 9 5</row>
<row>0 4 -8 -3 -19 -2 4</row>
</mapping>
</section>
</section>
<section title="Quadrafourths">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping>
<row>2 0 11 8 -1</row>
<row>0 4 -8 -3 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>2 0 11 8 -1 9</row>
<row>0 4 -8 -3 10 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>2 0 11 8 -1 9 5</row>
<row>0 4 -8 -3 10 -2 4</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Diaschismic rank-3 family">
<section title="Rank-3 diaschismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 0</row>
<row>0 1 -2 0</row>
<row>0 0 0 1</row>
</mapping>
</section>
<section title="Varda">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>896/891</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 0 14</row>
<row>0 1 -2 0 -4</row>
<row>0 0 0 1 1</row>
</mapping>
<mappingToLattice>
<row>0 1 -2 2 -2</row>
<row>0 0 0 -1 -1</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 0 11 0 14 24</row>
<row>0 1 -2 0 -4 -7</row>
<row>0 0 0 1 1 1</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>256/255</ratio>
<ratio>351/350</ratio>
</commas>
<mapping>
<row>2 0 11 0 14 24 5</row>
<row>0 1 -2 0 -4 -7 1</row>
<row>0 0 0 1 1 1 0</row>
</mapping>
</section>
</section>
<section title="Julius">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>2 0 11 0 14 -18</row>
<row>0 1 -2 0 -4 8</row>
<row>0 0 0 1 1 0</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>2 0 11 0 14 -18 5</row>
<row>0 1 -2 0 -4 8 1</row>
<row>0 0 0 1 1 0 0</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>256/255</ratio>
<ratio>286/285</ratio>
</commas>
<mapping>
<row>2 0 11 0 14 -18 5 -13</row>
<row>0 1 -2 0 -4 8 1 5</row>
<row>0 0 0 1 1 0 0 1</row>
</mapping>
</section>
</section>
</section>
<section title="Augustus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1232/1215</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 0 3</row>
<row>0 1 -2 0 3</row>
<row>0 0 0 1 -1</row>
</mapping>
</section>
<section title="Tiberius">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 0 -17</row>
<row>0 1 -2 0 4</row>
<row>0 0 0 1 2</row>
</mapping>
</section>
<section title="Claudius">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>2048/2025</ratio>
</commas>
<mapping legend="1">
<row>2 0 11 0 15</row>
<row>0 1 -2 0 1</row>
<row>0 0 0 1 -2</row>
</mapping>
</section>
</section>
<section title="Dicot family">
<section title="Dicot">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>25/24</ratio>
</commas>
<mapping legend="1">
<row>1 1 2</row>
<row>0 2 1</row>
</mapping>
<section title="Overview to extensions">
<section title="7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="Dicot (2.3.5.11 subgroup)">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 1 2 2</row>
<row>0 2 1 5</row>
</mapping>
<section title="2.3.5.11.13 subgroup">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>40/39</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 1 2 2 4</row>
<row>0 2 1 5 -1</row>
</mapping>
</section>
</section>
<section title="Eudicot (2.3.5.11 subgroup)">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 1 2 4</row>
<row>0 2 1 -2</row>
</mapping>
<section title="2.3.5.11.13 subgroup">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
<ratio>40/39</ratio>
</commas>
<mapping>
<row>1 1 2 4 4</row>
<row>0 2 1 -2 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Septimal dicot">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15/14</ratio>
<ratio>25/24</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 2</row>
<row>0 2 1 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>15/14</ratio>
<ratio>22/21</ratio>
<ratio>25/24</ratio>
</commas>
<mapping>
<row>1 1 2 2 2</row>
<row>0 2 1 3 5</row>
</mapping>
</section>
<section title="Eudicot">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>15/14</ratio>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 1 2 2 4</row>
<row>0 2 1 3 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>15/14</ratio>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
<ratio>40/39</ratio>
</commas>
<mapping>
<row>1 1 2 2 4 4</row>
<row>0 2 1 3 -2 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Flattie">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>25/24</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 3</row>
<row>0 2 1 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 1 2 3 4</row>
<row>0 2 1 -1 -2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>14/13</ratio>
<ratio>21/20</ratio>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 1 2 3 4 4</row>
<row>0 2 1 -1 -2 -1</row>
</mapping>
</section>
</section>
<section title="Sharpie">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>28/27</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 1</row>
<row>0 2 1 6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>28/27</ratio>
<ratio>35/33</ratio>
</commas>
<mapping>
<row>1 1 2 1 2</row>
<row>0 2 1 6 5</row>
</mapping>
</section>
</section>
<section title="Dichotic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 4</row>
<row>0 2 1 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>45/44</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 1 2 4 2</row>
<row>0 2 1 -4 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>40/39</ratio>
<ratio>45/44</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 1 2 4 2 4</row>
<row>0 2 1 -4 5 -1</row>
</mapping>
</section>
</section>
<section title="Dichotomic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>22/21</ratio>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 1 2 4 4</row>
<row>0 2 1 -4 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>22/21</ratio>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
<ratio>40/39</ratio>
</commas>
<mapping>
<row>1 1 2 4 4 4</row>
<row>0 2 1 -4 -2 -1</row>
</mapping>
</section>
</section>
<section title="Dichosis">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>35/33</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 1 2 4 5</row>
<row>0 2 1 -4 -5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>35/33</ratio>
<ratio>40/39</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 1 2 4 5 4</row>
<row>0 2 1 -4 -5 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Decimal">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>49/48</ratio>
</commas>
<mapping legend="1">
<row>2 0 3 4</row>
<row>0 2 1 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
</commas>
<mapping>
<row>2 0 3 4 -1</row>
<row>0 2 1 1 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>2 0 3 4 -1 1</row>
<row>0 2 1 1 5 4</row>
</mapping>
</section>
</section>
<section title="Decimated">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
<ratio>49/48</ratio>
</commas>
<mapping>
<row>2 0 3 4 10</row>
<row>0 2 1 1 -2</row>
</mapping>
</section>
<section title="Decibel">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>35/33</ratio>
<ratio>49/48</ratio>
</commas>
<mapping>
<row>2 0 3 4 7</row>
<row>0 2 1 1 0</row>
</mapping>
</section>
</section>
<section title="Sidi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 -1 1 -3</row>
<row>0 4 2 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 -1 1 -3 -3</row>
<row>0 4 2 9 10</row>
</mapping>
</section>
</section>
<section title="Sida">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>1323/1280</ratio>
</commas>
<mapping legend="1">
<row>1 -1 1 6</row>
<row>0 4 2 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>25/24</ratio>
<ratio>33/32</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 3 3 1 2</row>
<row>0 -4 -2 5 4</row>
</mapping>
</section>
</section>
</section>
<section title="Didymus rank-3 family">
<section title="Didymus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0</row>
<row>0 1 4 0</row>
<row>0 0 0 1</row>
</mapping>
</section>
<section title="Euterpe">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 1</row>
<row>0 1 4 0 -2</row>
<row>0 0 0 1 2</row>
</mapping>
</section>
<section title="Clio">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>176/175</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 -12</row>
<row>0 1 4 0 8</row>
<row>0 0 0 1 1</row>
</mapping>
</section>
<section title="Terpsichore">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>540/539</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 -2</row>
<row>0 1 4 0 7</row>
<row>0 0 0 1 -2</row>
</mapping>
</section>
<section title="Polyhymnia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 11</row>
<row>0 1 4 0 -3</row>
<row>0 0 0 1 -1</row>
</mapping>
</section>
<section title="Calliope">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 -6</row>
<row>0 1 4 0 6</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Thalia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>55/54</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 5</row>
<row>0 1 4 0 -1</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Melpomene">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 0 7</row>
<row>0 1 4 0 -4</row>
<row>0 0 0 1 1</row>
</mapping>
</section>
<section title="Erato">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -13 0</row>
<row>0 1 4 10 0</row>
<row>0 0 0 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 0 -20</row>
<row>0 1 4 10 0 15</row>
<row>0 0 0 0 1 0</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Dimcomp family">
<section title="Dimcomp">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>390625/388962</ratio>
</commas>
<mapping legend="1">
<row>4 0 0 -1</row>
<row>0 1 0 -1</row>
<row>0 0 1 2</row>
</mapping>
</section>
<section title="Undecimal dimcomp">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>6250/6237</ratio>
</commas>
<mapping legend="1">
<row>4 0 0 -1 5</row>
<row>0 1 0 -1 -3</row>
<row>0 0 1 2 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>2080/2079</ratio>
</commas>
<mapping>
<row>4 0 0 -1 5 -16</row>
<row>0 1 0 -1 -3 -1</row>
<row>0 0 1 2 3 4</row>
</mapping>
</section>
</section>
<section title="Octopod">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping legend="1">
<row>8 1 3 3 16 0</row>
<row>0 3 4 5 3 0</row>
<row>0 0 0 0 0 1</row>
</mapping>
</section>
</section>
<section title="Diminished family">
<section title="Diminished">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>648/625</ratio>
</commas>
<mapping legend="1">
<row>4 0 3</row>
<row>0 1 1</row>
</mapping>
</section>
<section title="Septimal diminished">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>50/49</ratio>
</commas>
<mapping legend="1">
<row>4 0 3 5</row>
<row>0 1 1 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>4 0 3 5 14</row>
<row>0 1 1 1 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>40/39</ratio>
<ratio>50/49</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>4 0 3 5 14 15</row>
<row>0 1 1 1 0 0</row>
</mapping>
</section>
</section>
<section title="Demolished">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
</commas>
<mapping>
<row>4 0 3 5 -5</row>
<row>0 1 1 1 3</row>
</mapping>
</section>
<section title="Cohedim">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>50/49</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>4 1 4 6 6</row>
<row>0 2 2 2 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>50/49</ratio>
<ratio>66/65</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>4 1 4 6 6 7</row>
<row>0 2 2 2 3 3</row>
</mapping>
</section>
</section>
</section>
<section title="Hemidim">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>648/625</ratio>
</commas>
<mapping legend="1">
<row>4 0 3 8</row>
<row>0 2 2 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>77/75</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>4 0 3 8 -2</row>
<row>0 2 2 1 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>4 0 3 8 -2 -1</row>
<row>0 2 2 1 5 5</row>
</mapping>
</section>
</section>
<section title="Octonion">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>392/375</ratio>
</commas>
<mapping legend="1">
<row>8 0 6 -3</row>
<row>0 1 1 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>8 0 6 -3 15</row>
<row>0 1 1 2 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>8 0 6 -3 15 17</row>
<row>0 1 1 2 1 1</row>
</mapping>
</section>
</section>
<section title="Subgroup extensions">
<section title="Diminished (2.3.5.17 subgroup)">
<subgroup>2.3.5.17</subgroup>
<commas>
<ratio>51/50</ratio>
<ratio>289/288</ratio>
</commas>
<mapping legend="2">
<row>4 0 3 10</row>
<row>0 1 1 1</row>
</mapping>
</section>
<section title="Diminished (2.3.5.19 subgroup)">
<subgroup>2.3.5.19</subgroup>
<commas>
<ratio>96/95</ratio>
<ratio>513/500</ratio>
</commas>
<mapping legend="2">
<row>4 0 3 17</row>
<row>0 1 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Ditonmic family">
<section title="Ditonic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1220703125/1207959552</ratio>
</commas>
<mapping legend="1">
<row>1 6 3</row>
<row>0 -13 -2</row>
</mapping>
</section>
<section title="Coditone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>2125764/2100875</ratio>
</commas>
<mapping legend="1">
<row>1 6 3 13</row>
<row>0 -13 -2 -30</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>78408/78125</ratio>
</commas>
<mapping>
<row>1 6 3 13 -3</row>
<row>0 -13 -2 -30 19</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 6 3 13 -3 2</row>
<row>0 -13 -2 -30 19 5</row>
</mapping>
</section>
</section>
<section title="Coditonic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>6655/6561</ratio>
</commas>
<mapping>
<row>1 6 3 13 15</row>
<row>0 -13 -2 -30 -34</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 6 3 13 15 20</row>
<row>0 -13 -2 -30 -34 -48</row>
</mapping>
</section>
</section>
</section>
<section title="Diton">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>8751645/8388608</ratio>
</commas>
<mapping legend="1">
<row>1 6 3 -4</row>
<row>0 -13 -2 20</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
<ratio>2079/2048</ratio>
</commas>
<mapping>
<row>1 6 3 -4 -3</row>
<row>0 -13 -2 20 19</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
<ratio>1287/1280</ratio>
</commas>
<mapping>
<row>1 6 3 -4 -3 2</row>
<row>0 -13 -2 20 19 5</row>
</mapping>
</section>
</section>
<section title="Notes"/>
</section>
<section title="Escapade family">
<section title="Escapade">
<section title="5-limit">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>4294967296/4271484375</ratio>
</commas>
<mapping legend="1">
<row>1 2 2</row>
<row>0 -9 7</row>
</mapping>
</section>
<section title="2.3.5.11 subgroup">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>4000/3993</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>1 2 2 3</row>
<row>0 -9 7 10</row>
</mapping>
</section>
<section title="2.3.5.11.31 subgroup">
<subgroup>2.3.5.11.31</subgroup>
<commas>
<ratio>496/495</ratio>
<ratio>961/960</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 2 2 3 5</row>
<row>0 -9 7 10 -1</row>
</mapping>
</section>
</section>
<section title="Strong extensions">
<section title="Escaped">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 4</row>
<row>0 -9 7 -26</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 2 2 4 3</row>
<row>0 -9 7 -26 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 2 2 4 3 2</row>
<row>0 -9 7 -26 10 37</row>
</mapping>
</section>
</section>
</section>
<section title="Alphaquarter">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>29360128/29296875</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 0</row>
<row>0 -9 7 61</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 2 2 0 3</row>
<row>0 -9 7 61 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>625/624</ratio>
<ratio>847/845</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>1 2 2 0 3 2</row>
<row>0 -9 7 61 10 37</row>
</mapping>
</section>
</section>
</section>
<section title="Escapist">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>12288/12005</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 3</row>
<row>0 -9 7 -4</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>2560/2541</ratio>
</commas>
<mapping>
<row>1 2 2 3 3</row>
<row>0 -9 7 -4 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>1 2 2 3 3 3</row>
<row>0 -9 7 -4 10 15</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Weak extensions">
<section title="Septisuperfourth">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="1">
<row>2 4 4 7</row>
<row>0 -9 7 -15</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4000/3993</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>2 4 4 7 6</row>
<row>0 -9 7 -15 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>2 4 4 7 6 11</row>
<row>0 -9 7 -15 10 -39</row>
</mapping>
</section>
<section title="Septisuperquad">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>2 4 4 7 6 5</row>
<row>0 -9 7 -15 10 26</row>
</mapping>
</section>
</section>
</section>
<section title="Arch">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>5250987/5242880</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 2</row>
<row>0 -18 14 35</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 2 2 2 3</row>
<row>0 -18 14 35 20</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 2 2 2 3 4</row>
<row>0 -18 14 35 20 -13</row>
</mapping>
</section>
</section>
</section>
</section>
</section>
<section title="Father family">
<section title="Father">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>16/15</ratio>
</commas>
<mapping legend="1">
<row>1 0 4</row>
<row>0 1 -1</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal father">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>28/27</ratio>
</commas>
<mapping legend="1">
<row>1 0 4 -2</row>
<row>0 1 -1 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>22/21</ratio>
<ratio>28/27</ratio>
</commas>
<mapping>
<row>1 0 4 -2 -3</row>
<row>0 1 -1 3 4</row>
</mapping>
</section>
</section>
<section title="Mother">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>21/20</ratio>
</commas>
<mapping legend="1">
<row>1 0 4 6</row>
<row>0 1 -1 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>11/10</ratio>
<ratio>16/15</ratio>
<ratio>21/20</ratio>
</commas>
<mapping>
<row>1 0 4 6 5</row>
<row>0 1 -1 -2 -1</row>
</mapping>
</section>
</section>
<section title="Pater">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>1 0 4 11</row>
<row>0 1 -1 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>22/21</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 4 11 10</row>
<row>0 1 -1 -5 -4</row>
</mapping>
</section>
</section>
</section>
<section title="Fifive family">
<section title="Fifive">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>9765625/9565938</ratio>
</commas>
<mapping legend="1">
<row>2 2 3</row>
<row>0 5 7</row>
</mapping>
<section title="2.3.5.13 subgroup">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>20000/19773</ratio>
</commas>
<mapping>
<row>2 2 3 6</row>
<row>0 5 7 6</row>
</mapping>
</section>
<section title="2.3.5.13.17 subgroup">
<subgroup>2.3.5.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>2 2 3 6 7</row>
<row>0 5 7 6 5</row>
</mapping>
</section>
</section>
<section title="Crepuscular">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>2 2 3 4</row>
<row>0 5 7 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>99/98</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>2 2 3 4 6</row>
<row>0 5 7 7 4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 2 3 4 6 6</row>
<row>0 5 7 7 4 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>85/84</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 2 3 4 6 6 7</row>
<row>0 5 7 7 4 6 5</row>
</mapping>
</section>
</section>
<section title="Fifives">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>83349/81920</ratio>
</commas>
<mapping legend="1">
<row>2 2 3 7</row>
<row>0 5 7 -6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
<ratio>3969/3872</ratio>
</commas>
<mapping>
<row>2 2 3 7 6</row>
<row>0 5 7 -6 4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>1352/1331</ratio>
</commas>
<mapping>
<row>2 2 3 7 6 6</row>
<row>0 5 7 -6 4 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>2 2 3 7 6 6 7</row>
<row>0 5 7 -6 4 6 5</row>
</mapping>
</section>
</section>
<section title="Fourfives">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping legend="1">
<row>4 4 6 7</row>
<row>0 5 7 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping>
<row>4 4 6 7 19</row>
<row>0 5 7 9 -11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>20000/19773</ratio>
</commas>
<mapping>
<row>4 4 6 7 19 12</row>
<row>0 5 7 9 -11 6</row>
</mapping>
</section>
</section>
<section title="Quadrafives">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>245/243</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>4 4 6 7 11</row>
<row>0 5 7 9 6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>4 4 6 7 11 12</row>
<row>0 5 7 9 6 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>4 4 6 7 11 12 14</row>
<row>0 5 7 9 6 6 5</row>
</mapping>
</section>
</section>
</section>
<section title="Notes"/>
</section>
<section title="Gamelismic clan">
<section title="Slendric">
<subgroup>2.3.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="2">
<row>1 1 3</row>
<row>0 3 -1</row>
</mapping>
<section title="Overview to extensions">
<section title="Full 7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="Radon">
<subgroup>2.3.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 3 6</row>
<row>0 3 -1 -13</row>
</mapping>
</section>
</section>
<section title="Mothra">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 3</row>
<row>0 3 12 -1</row>
</mapping>
<section title="Undecimal mothra">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 0 3 5</row>
<row>0 3 12 -1 -8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 1</row>
<row>0 3 12 -1 -8 14</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 1</row>
<row>0 3 12 -1 -8 14 16</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>153/152</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 1</row>
<row>0 3 12 -1 -8 14 16 22</row>
</mapping>
</section>
</section>
<section title="Mosura">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 1 0 3 -1</row>
<row>0 3 12 -1 23</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 1 0 3 -1 7</row>
<row>0 3 12 -1 23 -17</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>189/187</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 1 0 3 -1 7</row>
<row>0 3 12 -1 23 -17 -15</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>144/143</ratio>
<ratio>153/152</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 1 0 3 -1 7</row>
<row>0 3 12 -1 23 -17 -15 -9</row>
</mapping>
</section>
</section>
<section title="Cyndra">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 0 3 0</row>
<row>0 3 12 -1 18</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>1 1 0 3 0 1</row>
<row>0 3 12 -1 18 14</row>
</mapping>
</section>
</section>
</section>
<section title="Rodan">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 -1 3</row>
<row>0 3 17 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 -1 3 6</row>
<row>0 3 17 -1 -13</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 1 -1 3 6 8</row>
<row>0 3 17 -1 -13 -22</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>154/153</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>256/255</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 1 -1 3 6 8 8</row>
<row>0 3 17 -1 -13 -22 -20</row>
</mapping>
</section>
</section>
<section title="Aerodactyl">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 -1 3 6 -1</row>
<row>0 3 17 -1 -13 24</row>
</mapping>
</section>
</section>
<section title="Aerodino">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 -1 3 -3</row>
<row>0 3 17 -1 33</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 1 -1 3 -3 -1</row>
<row>0 3 17 -1 33 24</row>
</mapping>
</section>
</section>
<section title="Varan">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/243</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 -1 3 -2</row>
<row>0 3 17 -1 28</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>245/243</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 1 -1 3 -2 0</row>
<row>0 3 17 -1 28 19</row>
</mapping>
</section>
</section>
</section>
<section title="Guiron">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>1 1 7 3</row>
<row>0 3 -24 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 1 7 3 -2</row>
<row>0 3 -24 -1 28</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 1 7 3 -2 0</row>
<row>0 3 -24 -1 28 19</row>
</mapping>
</section>
</section>
<section title="Gorgo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 3</row>
<row>0 3 7 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 1 3 1</row>
<row>0 3 7 -1 13</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>1 1 1 3 1 2</row>
<row>0 3 7 -1 13 9</row>
</mapping>
</section>
</section>
<section title="Spartan">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 1 3 5</row>
<row>0 3 7 -1 -8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>1 1 1 3 5 2</row>
<row>0 3 7 -1 -8 9</row>
</mapping>
</section>
</section>
</section>
<section title="Gidorah">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>144/125</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 3</row>
<row>0 3 2 -1</row>
</mapping>
</section>
<section title="Oncle">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>2430/2401</ratio>
</commas>
<mapping legend="1">
<row>1 1 6 3</row>
<row>0 3 -19 -1</row>
</mapping>
</section>
<section title="Archaeotherium">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>405/392</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 5 3</row>
<row>0 3 -14 -1</row>
</mapping>
</section>
<section title="Clyndro">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>135/128</ratio>
<ratio>360/343</ratio>
</commas>
<mapping legend="1">
<row>1 1 4 3</row>
<row>0 3 -9 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 1 4 3 4</row>
<row>0 3 -9 -1 -3</row>
</mapping>
</section>
</section>
<section title="Miracle">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 3 3</row>
<row>0 6 -7 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 3 2</row>
<row>0 6 -7 -2 15</row>
</mapping>
<section title="Miraculous">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 4</row>
<row>0 6 -7 -2 15 -3</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 4 4</row>
<row>0 6 -7 -2 15 -3 1</row>
</mapping>
</section>
</section>
<section title="Benediction">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 7</row>
<row>0 6 -7 -2 15 -34</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
<ratio>351/350</ratio>
<ratio>375/374</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 7 7</row>
<row>0 6 -7 -2 15 -34 -30</row>
</mapping>
</section>
</section>
<section title="Manna">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 0</row>
<row>0 6 -7 -2 15 38</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 0 0</row>
<row>0 6 -7 -2 15 38 42</row>
</mapping>
</section>
</section>
<section title="Semimiracle">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 2 6 6 4 7</row>
<row>0 6 -7 -2 15 2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>2 2 6 6 4 7 7</row>
<row>0 6 -7 -2 15 2 6</row>
</mapping>
</section>
</section>
<section title="Hemisecordite">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 2</row>
<row>0 12 -14 -4 30 35</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
<ratio>385/384</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 2 2</row>
<row>0 12 -14 -4 30 35 43</row>
</mapping>
</section>
<section title="Semihemisecordite">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>289/288</ratio>
<ratio>385/384</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>2 2 6 6 4 4 7</row>
<row>0 12 -14 -4 30 35 12</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>209/208</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>289/288</ratio>
<ratio>361/360</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 2 6 6 4 4 7 8</row>
<row>0 12 -14 -4 30 35 12 5</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>209/208</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>289/288</ratio>
<ratio>323/322</ratio>
<ratio>361/360</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 2 6 6 4 4 7 8 7</row>
<row>0 12 -14 -4 30 35 12 5 21</row>
</mapping>
</section>
</section>
</section>
<section title="Phicordial">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -11 17 7 -28 3</row>
<row>0 18 -21 -6 45 1</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
<ratio>385/384</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -11 17 7 -28 3 -5</row>
<row>0 18 -21 -6 45 1 13</row>
</mapping>
</section>
</section>
</section>
<section title="Revelation">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 3 3 5</row>
<row>0 6 -7 -2 -16</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>512/507</ratio>
</commas>
<mapping>
<row>1 1 3 3 5 4</row>
<row>0 6 -7 -2 -16 -3</row>
</mapping>
</section>
</section>
<section title="Hemimiracle">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 3 3 4</row>
<row>0 12 -14 -4 -11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>512/507</ratio>
</commas>
<mapping>
<row>1 1 3 3 4 4</row>
<row>0 12 -14 -4 -11 -6</row>
</mapping>
</section>
</section>
<section title="Oracle">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 -5 10 5 4</row>
<row>0 12 -14 -4 -1</row>
</mapping>
</section>
</section>
<section title="Hemiseven">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>1 -2 -15 4</row>
<row>0 6 29 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping>
<row>1 -2 -15 4 16</row>
<row>0 6 29 -2 -21</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 -2 -15 4 16 -19</row>
<row>0 6 29 -2 -21 38</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 -2 -15 4 16 -19 -21</row>
<row>0 6 29 -2 -21 38 42</row>
</mapping>
</section>
</section>
<section title="Valentine">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 3</row>
<row>0 9 5 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 1 2 3 3</row>
<row>0 9 5 -3 7</row>
</mapping>
<section title="Valentino">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 5</row>
<row>0 9 5 -3 7 -20</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>154/153</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 5 5</row>
<row>0 9 5 -3 7 -20 -14</row>
</mapping>
</section>
</section>
<section title="Lupercalia">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 3</row>
<row>0 9 5 -3 7 11</row>
</mapping>
</section>
<section title="Dwynwen">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 2</row>
<row>0 9 5 -3 7 26</row>
</mapping>
</section>
<section title="Semivalentine">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>2 2 4 6 6 7</row>
<row>0 9 5 -3 7 3</row>
</mapping>
</section>
<section title="Hemivalentine">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>343/338</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 4</row>
<row>0 18 10 -6 14 -9</row>
</mapping>
</section>
<section title="Demivalentine">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 -8 -3 6 -4 -16</row>
<row>0 18 10 -6 14 37</row>
</mapping>
</section>
</section>
<section title="Hemivalentino">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 2 3 2</row>
<row>0 18 10 -6 45</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 2 3 2 5</row>
<row>0 18 10 -6 45 -40</row>
</mapping>
</section>
<section title="Hemivalentoid">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
<ratio>343/338</ratio>
</commas>
<mapping>
<row>1 1 2 3 2 4</row>
<row>0 18 10 -6 45 -9</row>
</mapping>
</section>
</section>
</section>
<section title="Superkleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 -5 -5 5</row>
<row>0 9 10 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2</row>
<row>0 9 10 -3 2</row>
</mapping>
<section title="2.3.5.7.11.19 subgroup">
<subgroup>2.3.5.7.11.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>133/132</ratio>
<ratio>190/189</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 -6</row>
<row>0 9 10 -3 2 14</row>
</mapping>
</section>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 -8</row>
<row>0 9 10 -3 2 16</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 -8 -12</row>
<row>0 9 10 -3 2 16 22</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>133/132</ratio>
<ratio>190/189</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 -8 -12 -6</row>
<row>0 9 10 -3 2 16 22 14</row>
</mapping>
</section>
</section>
<section title="Superana">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 22</row>
<row>0 9 10 -3 2 -25</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>154/153</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 22 18</row>
<row>0 9 10 -3 2 -25 -19</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>133/132</ratio>
<ratio>154/153</ratio>
<ratio>190/189</ratio>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>1 -5 -5 5 2 22 18 -6</row>
<row>0 9 10 -3 2 -25 -19 14</row>
</mapping>
</section>
</section>
</section>
<section title="Dee leap week">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>2460375/2458624</ratio>
</commas>
<mapping legend="1">
<row>1 -5 25 5</row>
<row>0 9 -31 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>2460375/2458624</ratio>
</commas>
<mapping>
<row>1 -5 25 5 -28</row>
<row>0 9 -31 -3 43</row>
</mapping>
</section>
</section>
<section title="Unidec">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>2 -1 -3 7</row>
<row>0 6 11 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>2 -1 -3 7 9</row>
<row>0 6 11 -2 -3</row>
</mapping>
<section title="Ekadash">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>2 -1 -3 7 9 -19</row>
<row>0 6 11 -2 -3 38</row>
</mapping>
</section>
<section title="Hendec">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 -1 -3 7 9 6</row>
<row>0 6 11 -2 -3 2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 -1 -3 7 9 6 4</row>
<row>0 6 11 -2 -3 2 6</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Necromanteion">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>5103/5000</ratio>
</commas>
<mapping legend="1">
<row>1 -5 -7 5</row>
<row>0 12 17 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 -5 -7 5 -13</row>
<row>0 12 17 -4 30</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
<ratio>343/338</ratio>
</commas>
<mapping>
<row>1 -5 -7 5 -13 7</row>
<row>0 12 17 -4 30 -6</row>
</mapping>
</section>
</section>
<section title="Restles">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>153664/151875</ratio>
</commas>
<mapping legend="1">
<row>1 -2 8 4</row>
<row>0 12 -19 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>153664/151875</ratio>
</commas>
<mapping>
<row>1 -2 8 4 -7</row>
<row>0 12 -19 -4 35</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 -2 8 4 -7 4</row>
<row>0 12 -19 -4 35 -1</row>
</mapping>
</section>
</section>
<section title="Lagaca">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>11529602/11390625</ratio>
</commas>
<mapping legend="1">
<row>2 -4 15 8</row>
<row>0 9 -13 -3</row>
</mapping>
</section>
<section title="Quartemka">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>1250000/1240029</ratio>
</commas>
<mapping legend="1">
<row>1 -17 -26 9</row>
<row>0 21 32 -7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>800000/793881</ratio>
</commas>
<mapping>
<row>1 -17 -26 9 7</row>
<row>0 21 32 -7 -4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -17 -26 9 7 -14</row>
<row>0 21 32 -7 -4 20</row>
</mapping>
</section>
</section>
<section title="Tritriple">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>1959552/1953125</ratio>
</commas>
<mapping legend="1">
<row>1 -11 -7 7</row>
<row>0 27 20 -9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>43923/43750</ratio>
</commas>
<mapping>
<row>1 -11 -7 7 -4</row>
<row>0 27 20 -9 16</row>
</mapping>
</section>
</section>
<section title="Widefourth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>48828125/48771072</ratio>
</commas>
<mapping legend="1">
<row>1 -17 -5 9</row>
<row>0 33 13 -11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>234375/234256</ratio>
</commas>
<mapping>
<row>1 16 8 -2 17</row>
<row>0 -33 -13 11 -31</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 16 8 -2 17 12</row>
<row>0 -33 -13 11 -31 -19</row>
</mapping>
</section>
</section>
<section title="Other subgroup extensions">
<section title="Euslendric (2.3.7.13)">
<subgroup>2.3.7.13</subgroup>
<commas>
<ratio>729/728</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>1 1 3 0</row>
<row>0 3 -1 19</row>
</mapping>
<section title="2.3.7.13.17 subgroup">
<subgroup>2.3.7.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>729/728</ratio>
<ratio>833/832</ratio>
</commas>
<mapping>
<row>1 1 3 0 0</row>
<row>0 3 -1 19 21</row>
</mapping>
</section>
<section title="2.3.7.13.17.19 subgroup">
<subgroup>2.3.7.13.17.19</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>343/342</ratio>
<ratio>513/512</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 1 3 0 0 6</row>
<row>0 3 -1 19 21 -9</row>
</mapping>
</section>
<section title="2.3.7.13.17.19.23 subgroup">
<subgroup>2.3.7.13.17.19.23</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>343/342</ratio>
<ratio>392/391</ratio>
<ratio>513/512</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 1 3 0 0 6 9</row>
<row>0 3 -1 19 21 -9 -23</row>
</mapping>
</section>
<section title="2.3.7.13.17.19.23.29 subgroup">
<subgroup>2.3.7.13.17.19.23.29</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>343/342</ratio>
<ratio>378/377</ratio>
<ratio>392/391</ratio>
<ratio>513/512</ratio>
<ratio>609/608</ratio>
</commas>
<mapping>
<row>1 1 3 0 0 6 9 7</row>
<row>0 3 -1 19 21 -9 -23 -11</row>
</mapping>
</section>
</section>
<section title="Baladic (2.3.7.13)">
<subgroup>2.3.7.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping>
<row>2 2 6 7</row>
<row>0 3 -1 1</row>
</mapping>
<section title="2.3.7.13.17 subgroup">
<subgroup>2.3.7.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>273/272</ratio>
<ratio>289/288</ratio>
</commas>
<mapping>
<row>2 2 6 7 7</row>
<row>0 3 -1 1 3</row>
</mapping>
</section>
</section>
</section>
<section title="References"/>
</section>
<section title="Gamelismic family">
<section title="Gamelismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 3</row>
<row>0 3 0 -1</row>
<row>0 0 1 0</row>
</mapping>
<mappingToLattice>
<row>0 3 0 -1</row>
<row>0 0 1 0</row>
</mappingToLattice>
</section>
<section title="Portent">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 3 5</row>
<row>0 3 0 -1 4</row>
<row>0 0 1 0 -1</row>
</mapping>
<mappingToLattice>
<row>0 3 1 -1 3</row>
<row>0 0 1 0 -1</row>
</mappingToLattice>
<section title="Portending">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 6</row>
<row>0 3 0 -1 4 12</row>
<row>0 0 1 0 -1 -2</row>
</mapping>
</section>
<section title="Portentous">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 -5</row>
<row>0 3 0 -1 4 -3</row>
<row>0 0 1 0 -1 4</row>
</mapping>
</section>
<section title="Ominous">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 1</row>
<row>0 3 0 -1 4 -10</row>
<row>0 0 1 0 -1 2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 1 1</row>
<row>0 3 0 -1 4 -10 -8</row>
<row>0 0 1 0 -1 2 2</row>
</mapping>
<mappingToLattice>
<row>0 1 1 0 0 -1 0</row>
<row>0 -1 -1 0 -1 2 1</row>
</mappingToLattice>
</section>
</section>
<section title="Momentous">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 7</row>
<row>0 3 0 -4 1 -5</row>
<row>0 0 1 0 -1 -1</row>
</mapping>
</section>
<section title="Foreboding">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 1 0 3 5 1</row>
<row>0 3 0 -1 4 2</row>
<row>0 0 1 0 -1 1</row>
</mapping>
</section>
<section title="Portannic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 4</row>
<row>0 3 0 -1 4 -1</row>
<row>0 0 3 0 -3 -1</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>1 1 2 3 3 4 4</row>
<row>0 3 0 -1 4 -1 1</row>
<row>0 0 3 0 -3 -1 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Gamel">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 3 -1</row>
<row>0 3 0 -1 11</row>
<row>0 0 1 0 1</row>
</mapping>
</section>
</section>
<section title="Gammic family">
<section title="Gammic">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-29 -11 20</monzo>
</commas>
<mapping legend="1">
<row>1 1 2</row>
<row>0 20 11</row>
</mapping>
<section title="2.3.5.17 subgroup">
<subgroup>2.3.5.17</subgroup>
<commas>
<ratio>15625/15606</ratio>
<ratio>24576/24565</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 4</row>
<row>0 20 11 3</row>
</mapping>
</section>
</section>
<section title="Septimal gammic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>6591796875/6576668672</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 0</row>
<row>0 20 11 96</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>4375/4356</ratio>
<ratio>100352/99825</ratio>
</commas>
<mapping>
<row>1 1 2 0 2</row>
<row>0 20 11 96 50</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 1 2 0 2 3</row>
<row>0 20 11 96 50 24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>595/594</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 1 2 0 2 3 4</row>
<row>0 20 11 96 50 24 3</row>
</mapping>
</section>
</section>
<section title="Gammy">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>94143178827/91913281250</ratio>
</commas>
<mapping>
<row>1 1 2 1</row>
<row>0 20 11 62</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>215622/214375</ratio>
</commas>
<mapping>
<row>1 1 2 1 2</row>
<row>0 20 11 62 50</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>1188/1183</ratio>
</commas>
<mapping>
<row>1 1 2 1 2 3</row>
<row>0 20 11 62 50 24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>375/374</ratio>
<ratio>1188/1183</ratio>
</commas>
<mapping>
<row>1 1 2 1 2 3 4</row>
<row>0 20 11 62 50 24 3</row>
</mapping>
</section>
</section>
<section title="Neptune">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>48828125/48771072</ratio>
</commas>
<mapping legend="1">
<row>1 21 13 13</row>
<row>0 -40 -22 -21</row>
</mapping>
<section title="2.3.5.7.17 subgroup">
<subgroup>2.3.5.7.17</subgroup>
<commas>
<ratio>1225/1224</ratio>
<ratio>2401/2400</ratio>
<ratio>24576/24565</ratio>
</commas>
<mapping legend="1">
<row>1 21 13 13 7</row>
<row>0 -40 -22 -21 -6</row>
</mapping>
</section>
<section title="2.3.5.7.17.31 subgroup">
<subgroup>2.3.5.7.17.31</subgroup>
<commas>
<ratio>868/867</ratio>
<ratio>961/960</ratio>
<ratio>1225/1224</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>1 21 13 13 7 20</row>
<row>0 -40 -22 -21 -6 -31</row>
</mapping>
</section>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>78408/78125</ratio>
</commas>
<mapping>
<row>1 21 13 13 2</row>
<row>0 -40 -22 -21 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>1188/1183</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 21 13 13 2 27</row>
<row>0 -40 -22 -21 3 -48</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>561/560</ratio>
<ratio>625/624</ratio>
<ratio>715/714</ratio>
<ratio>1188/1183</ratio>
</commas>
<mapping>
<row>1 21 13 13 2 27 7</row>
<row>0 -40 -22 -21 3 -48 -6</row>
</mapping>
</section>
</section>
<section title="Salacia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>9765625/9732096</ratio>
</commas>
<mapping>
<row>1 21 13 13 52</row>
<row>0 -40 -22 -21 -100</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 21 13 13 52 27</row>
<row>0 -40 -22 -21 -100 -48</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 21 13 13 52 27 7</row>
<row>0 -40 -22 -21 -100 -48 -6</row>
</mapping>
</section>
</section>
<section title="Poseidon">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
<ratio>9453125/9437184</ratio>
</commas>
<mapping>
<row>2 2 4 5 8</row>
<row>0 40 22 21 -37</row>
</mapping>
</section>
</section>
</section>
<section title="Gariboh family">
<section title="Gariboh">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0</row>
<row>0 1 1 1</row>
<row>0 0 3 5</row>
</mapping>
</section>
<section title="Undecimal gariboh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 1 1 2</row>
<row>0 0 3 5 -7</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 2</row>
<row>0 1 1 1 2 2</row>
<row>0 0 3 5 -7 -6</row>
</mapping>
</section>
</section>
<section title="Androboh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 1 1 0</row>
<row>0 0 3 5 6</row>
</mapping>
</section>
<section title="Trismegiboh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 1 1 1</row>
<row>0 0 6 10 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>275/273</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 2</row>
<row>0 1 1 1 1 1</row>
<row>0 0 6 10 -1 1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 2 3</row>
<row>0 1 1 1 1 1 1</row>
<row>0 0 6 10 -1 1 -4</row>
</mapping>
</section>
</section>
</section>
<section title="Gravity family">
<section title="Gravity">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>129140163/128000000</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -5</row>
<row>0 6 17</row>
</mapping>
<section title="Overview to extensions"/>
<section title="2.3.5.11 subgroup (larry)">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping legend="2">
<row>1 -1 -5 -3</row>
<row>0 6 17 15</row>
</mapping>
</section>
</section>
<section title="Marvo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>78125000/78121827</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -5 -17</row>
<row>0 6 17 46</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 -1 -5 -17 -3</row>
<row>0 6 17 46 15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>1625/1617</ratio>
</commas>
<mapping>
<row>1 -1 -5 -17 -3 -23</row>
<row>0 6 17 46 15 62</row>
</mapping>
</section>
</section>
<section title="Zarvo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>33075/32768</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -5 14</row>
<row>0 6 17 -26</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 -1 -5 14 -3</row>
<row>0 6 17 -26 15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>243/242</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -1 -5 14 -3 8</row>
<row>0 6 17 -26 15 -10</row>
</mapping>
</section>
</section>
<section title="Gravid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>1605632/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -5 -14</row>
<row>0 6 17 39</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 -1 -5 -14 -3</row>
<row>0 6 17 39 15</row>
</mapping>
</section>
</section>
<section title="Harry">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>2 4 7 7</row>
<row>0 -6 -17 -10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>2 4 7 7 9</row>
<row>0 -6 -17 -10 -15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 4 7 7 9 11</row>
<row>0 -6 -17 -10 -15 -26</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>243/242</ratio>
<ratio>289/288</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 4 7 7 9 11 9</row>
<row>0 -6 -17 -10 -15 -26 -6</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Greenwoodmic temperaments">
<section title="Secund">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>405/392</ratio>
<ratio>525/512</ratio>
</commas>
<mapping legend="1">
<row>1 1 3 2</row>
<row>0 5 -6 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 2 3</row>
<row>0 5 -6 7 4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 2 3 2</row>
<row>0 5 -6 7 4 15</row>
</mapping>
</section>
<section title="Secundly">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 1 3 2 3 3</row>
<row>0 5 -6 7 4 6</row>
</mapping>
</section>
</section>
</section>
<section title="Semishallowtone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>405/392</ratio>
<ratio>35721/32768</ratio>
</commas>
<mapping legend="1">
<row>2 0 36 15</row>
<row>0 1 -10 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>35721/32768</ratio>
</commas>
<mapping>
<row>2 0 36 15 32</row>
<row>0 1 -10 -3 -8</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>35721/32768</ratio>
</commas>
<mapping>
<row>2 0 36 15 32 -2</row>
<row>0 1 -10 -3 -8 3</row>
</mapping>
</section>
</section>
</section>
<section title="Hemifamity family">
<section title="Hemifamity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10</row>
<row>0 1 0 -6</row>
<row>0 0 1 1</row>
</mapping>
<mappingToLattice>
<row>0 1 2 -4</row>
<row>0 0 1 1</row>
</mappingToLattice>
<section title="Overview to extensions">
<section title="11- and 13-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="Counterpyth">
<subgroup>2.3.5.7.19</subgroup>
<commas>
<ratio>400/399</ratio>
<ratio>1216/1215</ratio>
</commas>
<mapping>
<row>1 0 0 10 -6</row>
<row>0 1 0 -6 5</row>
<row>0 0 1 1 1</row>
</mapping>
</section>
</section>
<section title="Pele">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>896/891</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 17</row>
<row>0 1 0 -6 -10</row>
<row>0 0 1 1 1</row>
</mapping>
<mappingToLattice>
<row>0 1 4 -2 -6</row>
<row>0 0 -1 -1 -1</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 0 0 10 17 22</row>
<row>0 1 0 -6 -10 -13</row>
<row>0 0 1 1 1 1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 0 0 10 17 22 8</row>
<row>0 1 0 -6 -10 -13 -1</row>
<row>0 0 1 1 1 1 -1</row>
</mapping>
</section>
</section>
<section title="Laka">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 -18</row>
<row>0 1 0 -6 15</row>
<row>0 0 1 1 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 0 0 10 -18 -13</row>
<row>0 1 0 -6 15 12</row>
<row>0 0 1 1 -1 -1</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.19 subgroup">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>400/399</ratio>
<ratio>456/455</ratio>
<ratio>495/494</ratio>
</commas>
<mapping>
<row>1 0 0 10 -18 -13 -6</row>
<row>0 1 0 -6 15 12 5</row>
<row>0 0 1 1 -1 -1 1</row>
</mapping>
</section>
</section>
<section title="Akea">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 -3</row>
<row>0 1 0 -6 7</row>
<row>0 0 1 1 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 10 -3 2</row>
<row>0 1 0 -6 7 4</row>
<row>0 0 1 1 -2 -2</row>
</mapping>
<mappingToLattice>
<row>0 1 3 -3 1 -2</row>
<row>0 0 -1 -1 2 2</row>
</mappingToLattice>
</section>
</section>
<section title="Lono">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 6</row>
<row>0 1 0 -6 -6</row>
<row>0 0 1 1 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 0 10 6 11</row>
<row>0 1 0 -6 -6 -9</row>
<row>0 0 1 1 3 3</row>
</mapping>
</section>
</section>
<section title="Kapo">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 7</row>
<row>0 1 1 -5 -2</row>
<row>0 0 2 2 -1</row>
</mapping>
</section>
<section title="Namaka">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3388/3375</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 -6</row>
<row>0 2 0 -12 9</row>
<row>0 0 1 1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>676/675</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 0 10 -6 -1</row>
<row>0 2 0 -12 9 3</row>
<row>0 0 1 1 1 1</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Hemifamity temperaments">
<section title="Septiquarter">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>420175/419904</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -28 6</row>
<row>0 7 38 -4</row>
</mapping>
<section title="Semiseptiquarter">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>9801/9800</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 -8 -56 12 -25</row>
<row>0 7 38 -4 20</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>847/845</ratio>
<ratio>1716/1715</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 -8 -56 12 -25 9</row>
<row>0 7 38 -4 20 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Kwai">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="1">
<row>1 0 -50 -40</row>
<row>0 1 33 27</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32</row>
<row>0 1 33 27 -18</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32 27</row>
<row>0 1 33 27 -18 -21</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
<ratio>1089/1088</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32 27 58</row>
<row>0 1 33 27 -18 -21 -34</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>400/399</ratio>
<ratio>456/455</ratio>
<ratio>715/714</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32 27 58 -56</row>
<row>0 1 33 27 -18 -21 -34 38</row>
</mapping>
</section>
</section>
<section title="Hemikwai">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>1375/1372</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32 -51</row>
<row>0 2 66 54 -36 69</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>442/441</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32 -51 -30</row>
<row>0 2 66 54 -36 69 43</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>400/399</ratio>
<ratio>442/441</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>1445/1444</ratio>
</commas>
<mapping>
<row>1 0 -50 -40 32 -51 -30 -56</row>
<row>0 2 66 54 -36 69 43 76</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Ketchup">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>1071875/1062882</ratio>
</commas>
<mapping legend="1">
<row>2 3 4 6</row>
<row>0 4 15 -9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>2 3 4 6 7</row>
<row>0 4 15 -9 -2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>2 3 4 6 7 8</row>
<row>0 4 15 -9 -2 -14</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>442/441</ratio>
</commas>
<mapping>
<row>2 3 4 6 7 8 8</row>
<row>0 4 15 -9 -2 -14 4</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.17.23 subgroup">
<subgroup>2.3.5.7.11.13.17.23</subgroup>
<commas>
<ratio>253/252</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>391/390</ratio>
</commas>
<mapping>
<row>2 3 4 6 7 8 8 9</row>
<row>0 4 15 -9 -2 -14 4 1</row>
</mapping>
</section>
</section>
<section title="Undecental">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping legend="1">
<row>1 0 61 71</row>
<row>0 1 -37 -43</row>
</mapping>
</section>
<section title="Leapday">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 -31 -21</row>
<row>0 1 21 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>441/440</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14</row>
<row>0 1 21 15 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14 -9</row>
<row>0 1 21 15 11 8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14 -9 -34</row>
<row>0 1 21 15 11 8 24</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>133/132</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14 -9 -34 9</row>
<row>0 1 21 15 11 8 24 -3</row>
</mapping>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>133/132</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>161/160</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14 -9 -34 9 -5</row>
<row>0 1 21 15 11 8 24 -3 6</row>
</mapping>
</section>
</section>
<section title="Leapling">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>77/76</ratio>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>136/135</ratio>
<ratio>153/152</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14 -9 -34 -37</row>
<row>0 1 21 15 11 8 24 26</row>
</mapping>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>77/76</ratio>
<ratio>91/90</ratio>
<ratio>115/114</ratio>
<ratio>121/120</ratio>
<ratio>136/135</ratio>
<ratio>153/152</ratio>
<ratio>161/160</ratio>
</commas>
<mapping>
<row>1 0 -31 -21 -14 -9 -34 -37 -5</row>
<row>0 1 21 15 11 8 24 26 6</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Mystery">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>50421/50000</ratio>
</commas>
<mapping legend="1">
<row>29 46 0 14</row>
<row>0 0 1 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>896/891</ratio>
<ratio>3388/3375</ratio>
</commas>
<mapping>
<row>29 46 0 14 33</row>
<row>0 0 1 1 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>29 46 0 14 33 40</row>
<row>0 0 1 1 1 1</row>
</mapping>
</section>
</section>
<section title="Hemidromeda">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>52734375/52706752</ratio>
</commas>
<mapping legend="1">
<row>1 0 38 48</row>
<row>0 2 -45 -57</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1331/1323</ratio>
<ratio>1375/1372</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 0 38 48 32</row>
<row>0 2 -45 -57 -36</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>676/675</ratio>
<ratio>847/845</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 0 38 48 32 37</row>
<row>0 2 -45 -57 -36 -42</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>442/441</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 0 38 48 32 37 58</row>
<row>0 2 -45 -57 -36 -42 -68</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>286/285</ratio>
<ratio>352/351</ratio>
<ratio>363/361</ratio>
<ratio>442/441</ratio>
<ratio>476/475</ratio>
<ratio>561/560</ratio>
</commas>
<mapping>
<row>1 0 38 48 32 37 58 32</row>
<row>0 2 -45 -57 -36 -42 -68 -35</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>253/252</ratio>
<ratio>286/285</ratio>
<ratio>352/351</ratio>
<ratio>363/361</ratio>
<ratio>391/390</ratio>
<ratio>442/441</ratio>
<ratio>460/459</ratio>
</commas>
<mapping>
<row>1 0 38 48 32 37 58 32 18</row>
<row>0 2 -45 -57 -36 -42 -68 -35 -17</row>
</mapping>
</section>
</section>
<section title="Countriton">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>7558272/7503125</ratio>
</commas>
<mapping legend="1">
<row>1 -3 -15 13</row>
<row>0 9 34 -20</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>5120/5103</ratio>
<ratio>41503/41472</ratio>
</commas>
<mapping>
<row>1 -3 -15 13 -21</row>
<row>0 9 34 -20 48</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>847/845</ratio>
<ratio>2197/2187</ratio>
</commas>
<mapping>
<row>1 -3 -15 13 -21 -7</row>
<row>0 9 34 -20 48 21</row>
</mapping>
</section>
</section>
<section title="Artoneutral">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>3828125/3779136</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -4 12</row>
<row>0 9 22 -32</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>2200/2187</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 -1 -4 12 -2</row>
<row>0 9 22 -32 19</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>1 -1 -4 12 -2 6</row>
<row>0 9 22 -32 19 -8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -1 -4 12 -2 6 -12</row>
<row>0 9 22 -32 19 -8 56</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>400/399</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -1 -4 12 -2 6 -12 -15</row>
<row>0 9 22 -32 19 -8 56 67</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>300/299</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>400/399</ratio>
<ratio>484/483</ratio>
</commas>
<mapping>
<row>1 -1 -4 12 -2 6 -12 -15 -13</row>
<row>0 9 22 -32 19 -8 56 67 61</row>
</mapping>
</section>
</section>
<section title="Quanic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>5832000/5764801</ratio>
</commas>
<mapping legend="1">
<row>1 1 -4 0</row>
<row>0 5 54 24</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1331/1323</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 1 -4 0 1</row>
<row>0 5 54 24 21</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 1 -4 0 1 3</row>
<row>0 5 54 24 21 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>442/441</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 1 -4 0 1 3 -2</row>
<row>0 5 54 24 21 6 52</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>400/399</ratio>
<ratio>442/441</ratio>
<ratio>456/455</ratio>
<ratio>495/494</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 1 -4 0 1 3 -2 -5</row>
<row>0 5 54 24 21 6 52 79</row>
</mapping>
</section>
</section>
<section title="Jorgensen">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>578509309952/576650390625</ratio>
</commas>
<mapping legend="1">
<row>70 111 0 34</row>
<row>0 0 1 1</row>
</mapping>
</section>
<section title="References"/>
</section>
<section title="Hemimage family">
<section title="Hemimage">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -1</row>
<row>0 1 2 3</row>
<row>0 0 -3 -1</row>
</mapping>
</section>
<section title="Uni">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -1 6</row>
<row>0 1 2 3 -1</row>
<row>0 0 -3 -1 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 11</row>
<row>0 1 2 3 -1 -4</row>
<row>0 0 -3 -1 -1 -1</row>
</mapping>
</section>
<section title="Tin">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2</row>
<row>0 1 2 3 -1 3</row>
<row>0 0 -3 -1 -1 1</row>
</mapping>
</section>
</section>
<section title="Turan">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -1 -7</row>
<row>0 1 2 3 6</row>
<row>0 0 -3 -1 1</row>
</mapping>
</section>
</section>
<section title="Hemimage temperaments">
<section title="Chromat">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping legend="1">
<row>3 4 5 6</row>
<row>0 5 13 16</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4375/4356</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>3 4 5 6 6</row>
<row>0 5 13 16 29</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>3 4 5 6 6 4</row>
<row>0 5 13 16 29 47</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>3773/3757</ratio>
</commas>
<mapping>
<row>3 4 5 6 6 4 10</row>
<row>0 5 13 16 29 47 15</row>
</mapping>
</section>
</section>
<section title="Catachrome">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>441/440</ratio>
<ratio>1001/1000</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>3 4 5 6 6 12</row>
<row>0 5 13 16 29 -6</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
<ratio>4928/4913</ratio>
</commas>
<mapping>
<row>3 4 5 6 6 12 10</row>
<row>0 5 13 16 29 -6 15</row>
</mapping>
</section>
</section>
<section title="Chromic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>729/728</ratio>
<ratio>1875/1859</ratio>
</commas>
<mapping>
<row>3 4 5 6 6 9</row>
<row>0 5 13 16 29 14</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>3 4 5 6 6 9 10</row>
<row>0 5 13 16 29 14 15</row>
</mapping>
</section>
</section>
</section>
<section title="Hemichromat">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>10976/10935</ratio>
<ratio>102487/102400</ratio>
</commas>
<mapping>
<row>3 4 5 6 10</row>
<row>0 10 26 32 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>3 4 5 6 10 8</row>
<row>0 10 26 32 5 41</row>
</mapping>
</section>
</section>
</section>
<section title="Bisupermajor">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>2 1 6 1</row>
<row>0 8 -5 17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>3388/3375</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping>
<row>2 1 6 1 8</row>
<row>0 8 -5 17 -4</row>
</mapping>
</section>
</section>
<section title="Bicommatic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>50421/50000</ratio>
</commas>
<mapping legend="1">
<row>2 3 4 5</row>
<row>0 5 19 18</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3388/3375</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>2 3 4 5 6</row>
<row>0 5 19 18 27</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>2 3 4 5 6 7</row>
<row>0 5 19 18 27 12</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>289/288</ratio>
<ratio>352/351</ratio>
<ratio>561/560</ratio>
</commas>
<mapping>
<row>2 3 4 5 6 7 8</row>
<row>0 5 19 18 27 12 5</row>
</mapping>
</section>
</section>
<section title="Degrees">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>390625/388962</ratio>
</commas>
<mapping legend="1">
<row>20 0 -17 -39</row>
<row>0 1 2 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1331/1323</ratio>
<ratio>1375/1372</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>20 0 -17 -39 -26</row>
<row>0 1 2 3 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>1001/1000</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>20 0 -17 -39 -26 74</row>
<row>0 1 2 3 3 0</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>561/560</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>20 0 -17 -39 -26 74 50</row>
<row>0 1 2 3 3 0 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>286/285</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>400/399</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>20 0 -17 -39 -26 74 50 85</row>
<row>0 1 2 3 3 0 1 0</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>253/252</ratio>
<ratio>286/285</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>391/390</ratio>
<ratio>400/399</ratio>
</commas>
<mapping>
<row>20 0 -17 -39 -26 74 50 85 27</row>
<row>0 1 2 3 3 0 1 0 2</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>253/252</ratio>
<ratio>286/285</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>391/390</ratio>
<ratio>400/399</ratio>
<ratio>406/405</ratio>
</commas>
<mapping>
<row>20 0 -17 -39 -26 74 50 85 27 2</row>
<row>0 1 2 3 3 0 1 0 2 3</row>
</mapping>
</section>
</section>
<section title="Squarschmidt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>29360128/29296875</ratio>
</commas>
<mapping legend="1">
<row>1 -8 1 -20</row>
<row>0 29 4 69</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>5632/5625</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 -8 1 -20 -21</row>
<row>0 29 4 69 74</row>
</mapping>
</section>
</section>
<section title="Leapmonth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>51200/50421</ratio>
</commas>
<mapping legend="1">
<row>1 0 -58 -21</row>
<row>0 1 38 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 0 -58 -21 -14</row>
<row>0 1 38 15 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 -58 -21 -14 -1</row>
<row>0 1 38 15 11 8</row>
</mapping>
</section>
</section>
</section>
<section title="Hemimean clan">
<section title="2.5.7 subgroup">
<section title="Didacus">
<subgroup>2.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="2">
<row>1 0 -3</row>
<row>0 2 5</row>
</mapping>
</section>
</section>
<section title="Strong extensions">
<section title="Hemiw&#xFC;rschmidt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 15 4 7</row>
<row>0 -16 -2 -5</row>
</mapping>
<section title="2.3.5.7.23 subgroup">
<subgroup>2.3.5.7.23</subgroup>
<commas>
<ratio>576/575</ratio>
<ratio>736/735</ratio>
<ratio>1127/1125</ratio>
</commas>
<mapping legend="1">
<row>1 15 4 7 28</row>
<row>0 -16 -2 -5 -28</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 15 4 7 37</row>
<row>0 -16 -2 -5 -40</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 15 4 7 37 -29</row>
<row>0 -16 -2 -5 -40 39</row>
</mapping>
</section>
<section title="Hemithir">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 15 4 7 37 -3</row>
<row>0 -16 -2 -5 -40 8</row>
</mapping>
</section>
</section>
<section title="Hemiwur">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 15 4 7 11</row>
<row>0 -16 -2 -5 -9</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 15 4 7 11 -3</row>
<row>0 -16 -2 -5 -9 8</row>
</mapping>
</section>
<section title="Hemiwar">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 15 4 7 11 23</row>
<row>0 -16 -2 -5 -9 -23</row>
</mapping>
</section>
</section>
<section title="Quadraw&#xFC;rschmidt">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3025/3024</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 15 4 7 24</row>
<row>0 -32 -4 -10 -49</row>
</mapping>
</section>
<section title="Semihemiw&#xFC;r">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3136/3125</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping>
<row>2 14 6 9 -10</row>
<row>0 -16 -2 -5 25</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>2 14 6 9 -10 25</row>
<row>0 -16 -2 -5 25 -26</row>
</mapping>
<section title="Semihemiw&#xFC;rat">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>442/441</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
<ratio>1632/1625</ratio>
</commas>
<mapping>
<row>2 14 6 9 -10 25 19</row>
<row>0 -16 -2 -5 25 -26 -16</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>442/441</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>561/560</ratio>
<ratio>627/625</ratio>
</commas>
<mapping>
<row>2 14 6 9 -10 25 19 20</row>
<row>0 -16 -2 -5 25 -26 -16 -17</row>
</mapping>
</section>
</section>
<section title="Semihemiw&#xFC;ram">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>1001/1000</ratio>
<ratio>1225/1224</ratio>
</commas>
<mapping>
<row>2 14 6 9 -10 25 -4</row>
<row>0 -16 -2 -5 25 -26 18</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>286/285</ratio>
<ratio>400/399</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
<ratio>1225/1224</ratio>
</commas>
<mapping>
<row>2 14 6 9 -10 25 -4 -3</row>
<row>0 -16 -2 -5 25 -26 18 17</row>
</mapping>
</section>
</section>
</section>
</section>
</section>
<section title="Hemithirds">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 4 2 2</row>
<row>0 -15 2 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 4 2 2 7</row>
<row>0 -15 2 5 -22</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 4 2 2 7 0</row>
<row>0 -15 2 5 -22 23</row>
</mapping>
</section>
</section>
<section title="Spell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>3125/3072</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 2</row>
<row>0 10 2 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>1 0 2 2 3</row>
<row>0 10 2 5 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>1 0 2 2 3 4</row>
<row>0 10 2 5 3 -2</row>
</mapping>
</section>
<section title="Cantrip">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>125/121</ratio>
</commas>
<mapping>
<row>1 0 2 2 3 1</row>
<row>0 10 2 5 3 17</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Weak extensions">
<section title="Semisept">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 12 6 12</row>
<row>0 -17 -6 -15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 12 6 12 20</row>
<row>0 -17 -6 -15 -27</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 12 6 12 20 -11</row>
<row>0 -17 -6 -15 -27 24</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>256/255</ratio>
<ratio>351/350</ratio>
<ratio>640/637</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 12 6 12 20 -11 -10</row>
<row>0 -17 -6 -15 -27 24 23</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>286/285</ratio>
<ratio>351/350</ratio>
<ratio>476/475</ratio>
<ratio>540/539</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 12 6 12 20 -11 -10 -8</row>
<row>0 -17 -6 -15 -27 24 23 20</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>253/252</ratio>
<ratio>286/285</ratio>
<ratio>345/343</ratio>
<ratio>351/350</ratio>
<ratio>391/390</ratio>
<ratio>460/459</ratio>
</commas>
<mapping>
<row>1 12 6 12 20 -11 -10 -8 18</row>
<row>0 -17 -6 -15 -27 24 23 20 -22</row>
</mapping>
</section>
</section>
<section title="Semishly">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 12 6 12 20 8</row>
<row>0 -17 -6 -15 -27 -7</row>
</mapping>
</section>
</section>
</section>
<section title="Emka">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>84035/82944</ratio>
</commas>
<mapping legend="1">
<row>1 14 6 12</row>
<row>0 -27 -8 -20</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>2401/2376</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 14 6 12 3</row>
<row>0 -27 -8 -20 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 14 6 12 3 6</row>
<row>0 -27 -8 -20 1 -5</row>
</mapping>
</section>
</section>
<section title="Decipentic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>2097152/2083725</ratio>
</commas>
<mapping legend="1">
<row>1 6 0 -3</row>
<row>0 -19 10 25</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>1344/1331</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 6 0 -3 3</row>
<row>0 -19 10 25 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>441/440</ratio>
<ratio>832/825</ratio>
<ratio>975/968</ratio>
</commas>
<mapping>
<row>1 6 0 -3 3 3</row>
<row>0 -19 10 25 2 3</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
<ratio>273/272</ratio>
<ratio>375/374</ratio>
</commas>
<mapping>
<row>1 6 0 -3 3 3 2</row>
<row>0 -19 10 25 2 3 9</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>210/209</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
<ratio>273/272</ratio>
<ratio>286/285</ratio>
</commas>
<mapping>
<row>1 6 0 -3 3 3 2 1</row>
<row>0 -19 10 25 2 3 9 14</row>
</mapping>
</section>
</section>
<section title="Quasijerome">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>15488/15435</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 6 0 -3 3</row>
<row>0 -38 20 50 47</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>3136/3125</ratio>
<ratio>15488/15435</ratio>
</commas>
<mapping>
<row>1 6 0 -3 3 8</row>
<row>0 -38 20 50 47 -37</row>
</mapping>
</section>
</section>
</section>
<section title="Sengagen">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>420175/419904</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 2</row>
<row>0 29 16 40</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1344/1331</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 1 2 2 3</row>
<row>0 29 16 40 23</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>975/968</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>1 1 2 2 3 4</row>
<row>0 29 16 40 23 -15</row>
</mapping>
</section>
<section title="Sengage">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 1 2 2 3 3</row>
<row>0 29 16 40 23 35</row>
</mapping>
</section>
</section>
</section>
<section title="Mowglic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>177147/175000</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -3</row>
<row>0 15 22 55</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
<ratio>72171/71680</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8</row>
<row>0 15 22 55 -43</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>1701/1690</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 -2</row>
<row>0 15 22 55 -43 54</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>833/832</ratio>
<ratio>1701/1690</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 -2 10</row>
<row>0 15 22 55 -43 54 -56</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
<ratio>513/512</ratio>
<ratio>540/539</ratio>
<ratio>1701/1690</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 -2 10 9</row>
<row>0 15 22 55 -43 54 -56 -45</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>276/275</ratio>
<ratio>351/350</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
<ratio>513/512</ratio>
<ratio>529/528</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 -2 10 9 6</row>
<row>0 15 22 55 -43 54 -56 -45 -14</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>261/260</ratio>
<ratio>276/275</ratio>
<ratio>351/350</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
<ratio>513/512</ratio>
<ratio>529/528</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 -2 10 9 6 0</row>
<row>0 15 22 55 -43 54 -56 -45 -14 46</row>
</mapping>
</section>
<section title="31-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29.31</subgroup>
<commas>
<ratio>261/260</ratio>
<ratio>276/275</ratio>
<ratio>351/350</ratio>
<ratio>435/434</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
<ratio>513/512</ratio>
<ratio>529/528</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 -2 10 9 6 0 2</row>
<row>0 15 22 55 -43 54 -56 -45 -14 46 28</row>
</mapping>
</section>
</section>
<section title="Tremka">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>2125764/2100875</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -2 -8</row>
<row>0 31 24 60</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
<ratio>35937/35840</ratio>
</commas>
<mapping>
<row>1 -4 -2 -8 4</row>
<row>0 31 24 60 -3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>847/845</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 -4 -2 -8 4 1</row>
<row>0 31 24 60 -3 15</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>561/560</ratio>
<ratio>847/845</ratio>
<ratio>1089/1088</ratio>
</commas>
<mapping>
<row>1 -4 -2 -8 4 1 -6</row>
<row>0 31 24 60 -3 15 56</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>324/323</ratio>
<ratio>351/350</ratio>
<ratio>456/455</ratio>
<ratio>476/455</ratio>
<ratio>495/494</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 -4 -2 -8 4 1 -6 -8</row>
<row>0 31 24 60 -3 15 56 68</row>
</mapping>
</section>
</section>
<section title="Undetrita">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>14348907/14336000</ratio>
</commas>
<mapping legend="1">
<row>1 0 -2 -8</row>
<row>0 11 30 75</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>3136/3125</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>1 0 -2 -8 0</row>
<row>0 11 30 75 24</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>1 0 -2 -8 0 5</row>
<row>0 11 30 75 24 -9</row>
</mapping>
</section>
<section title="Undetritoid">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>1573/1568</ratio>
<ratio>2080/2079</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 0 -2 -8 0 -11</row>
<row>0 11 30 75 24 102</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Subgroup extensions">
<section title="Undecimal didacus">
<subgroup>2.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 -3 -7</row>
<row>0 2 5 9</row>
</mapping>
<section title="Tridecimal didacus">
<subgroup>2.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>640/637</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 -3 -7 13</row>
<row>0 2 5 9 -8</row>
</mapping>
<section title="Mediantone">
<subgroup>2.5.7.11.13.17.19</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>640/637</ratio>
<ratio>221/220</ratio>
<ratio>476/475</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 -3 -7 13 -18 -19</row>
<row>0 2 5 9 -8 19 20</row>
</mapping>
</section>
<section title="Roulette">
<subgroup>2.5.7.11.13.17.19</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>176/175</ratio>
<ratio>476/475</ratio>
<ratio>640/637</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 2 2 2 5 7 7</row>
<row>0 2 5 9 -8 -18 -17</row>
</mapping>
</section>
</section>
</section>
<section title="Rectified hebrew">
<subgroup>2.5.7.13</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>4394/4375</ratio>
</commas>
<mapping>
<row>1 2 2 3</row>
<row>0 6 15 13</row>
</mapping>
</section>
<section title="Isra">
<subgroup>2.9.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 -13</row>
<row>0 1 2 5</row>
</mapping>
<section title="Tutone">
<subgroup>2.9.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 -13 -25</row>
<row>0 1 2 5 9</row>
</mapping>
</section>
<section title="Leantone">
<subgroup>2.9.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 -13 -6</row>
<row>0 1 2 5 3</row>
</mapping>
</section>
<section title="Deutone">
<subgroup>2.9.5.7.13</subgroup>
<commas>
<ratio>65/64</ratio>
<ratio>81/80</ratio>
<ratio>91/90</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 -13 10</row>
<row>0 1 2 5 -2</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Hemimean family">
<section title="Hemimean">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -3</row>
<row>0 1 0 0</row>
<row>0 0 2 5</row>
</mapping>
<mappingToLattice>
<row>0 0 2 5</row>
<row>0 1 0 0</row>
</mappingToLattice>
<section title="Hemimean orion">
<subgroup>2.3.5.7.17</subgroup>
<commas>
<ratio>1701/1700</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 0 0 -3 -5</row>
<row>0 1 0 0 5</row>
<row>0 0 2 5 1</row>
</mapping>
<section title="2.3.5.7.17.19 subgroup">
<subgroup>2.3.5.7.17.19</subgroup>
<commas>
<ratio>476/475</ratio>
<ratio>1216/1215</ratio>
<ratio>1445/1444</ratio>
</commas>
<mapping>
<row>1 0 0 -3 -5 -6</row>
<row>0 1 0 0 5 5</row>
<row>0 0 2 5 1 2</row>
</mapping>
</section>
</section>
<section title="Semiorion">
<subgroup>2.3.5.7.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>2 0 0 -6 5</row>
<row>0 1 0 0 1</row>
<row>0 0 2 5 0</row>
</mapping>
<section title="2.3.5.7.17.19 subgroup">
<subgroup>2.3.5.7.17.19</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>361/360</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>2 0 0 -6 5 3</row>
<row>0 1 0 0 1 1</row>
<row>0 0 2 5 0 1</row>
</mapping>
</section>
</section>
</section>
<section title="Belobog">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -3 -9</row>
<row>0 1 0 0 2</row>
<row>0 0 2 5 8</row>
</mapping>
<mappingToLattice>
<row>0 -2 2 5 4</row>
<row>0 -1 0 0 -2</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>1001/1000</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 0 0 -3 -9 15</row>
<row>0 1 0 0 2 -2</row>
<row>0 0 2 5 8 -7</row>
</mapping>
</section>
<section title="Bellowblog">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 0 -3 -9 -4</row>
<row>0 1 0 0 2 -1</row>
<row>0 0 2 5 8 8</row>
</mapping>
</section>
</section>
<section title="Siebog">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -3 8</row>
<row>0 1 0 0 3</row>
<row>0 0 2 5 -8</row>
</mapping>
</section>
<section title="Triglav">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 2 1</row>
<row>0 1 2 5 2</row>
<row>0 0 -4 -10 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>1 0 2 2 1 6</row>
<row>0 1 2 5 2 -1</row>
<row>0 0 -4 -10 -1 -1</row>
</mapping>
</section>
</section>
<section title="Semihemimean">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 -6 -3</row>
<row>0 1 0 0 -2</row>
<row>0 0 2 5 7</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>3136/3125</ratio>
<ratio>4459/4455</ratio>
</commas>
<mapping>
<row>2 0 0 -6 -3 15</row>
<row>0 1 0 0 -2 2</row>
<row>0 0 2 5 7 -6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>561/560</ratio>
<ratio>1001/1000</ratio>
<ratio>1632/1625</ratio>
</commas>
<mapping>
<row>2 0 0 -6 -3 15 5</row>
<row>0 1 0 0 -2 2 1</row>
<row>0 0 2 5 7 -6 0</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>361/360</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>561/560</ratio>
</commas>
<mapping>
<row>2 0 0 -6 -3 15 5 3</row>
<row>0 1 0 0 -2 2 1 1</row>
<row>0 0 2 5 7 -6 0 1</row>
</mapping>
</section>
</section>
</section>
<section title="Miscellaneous 5-limit temperaments">
<section title="Unidecmic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>31381059609/31250000000</ratio>
</commas>
<mapping legend="1">
<row>2 -1 -3</row>
<row>0 6 11</row>
</mapping>
</section>
<section title="Quasithird">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>55 -64 20</monzo>
</commas>
<mapping legend="1">
<row>4 0 -11</row>
<row>0 5 16</row>
</mapping>
</section>
<section title="Supersharp">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>800/729</ratio>
</commas>
<mapping legend="1">
<row>2 0 -5</row>
<row>0 1 3</row>
</mapping>
</section>
<section title="Avila">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>729/640</ratio>
</commas>
<mapping legend="1">
<row>1 0 -7</row>
<row>0 1 6</row>
</mapping>
</section>
<section title="Lafa">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>77 -31 -12</monzo>
</commas>
<mapping legend="1">
<row>1 -1 9</row>
<row>0 12 -31</row>
</mapping>
</section>
<section title="Lafayette">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>3456/3125</ratio>
</commas>
<mapping legend="1">
<row>1 1 2</row>
<row>0 5 3</row>
</mapping>
</section>
<section title="Dodifo">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-67 -9 35</monzo>
</commas>
<mapping legend="1">
<row>1 12 5</row>
<row>0 -35 -9</row>
</mapping>
</section>
<section title="Doublewide">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>390625/373248</ratio>
</commas>
<mapping legend="1">
<row>2 1 3</row>
<row>0 4 3</row>
</mapping>
</section>
<section title="Shibboleth">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1953125/1889568</ratio>
</commas>
<mapping legend="1">
<row>1 4 5</row>
<row>0 -9 -10</row>
</mapping>
</section>
<section title="Semidimfourth">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>7 41 -31</monzo>
</commas>
<mapping legend="1">
<row>1 21 28</row>
<row>0 -31 -41</row>
</mapping>
</section>
<section title="Mynic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>10077696/9765625</ratio>
</commas>
<mapping legend="1">
<row>1 9 9</row>
<row>0 -10 -9</row>
</mapping>
</section>
<section title="Progress">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>32768/30375</ratio>
</commas>
<mapping legend="1">
<row>1 0 5</row>
<row>0 3 -5</row>
</mapping>
</section>
<section title="Abigail">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>25 -48 22</monzo>
</commas>
<mapping legend="1">
<row>2 7 13</row>
<row>0 -11 -24</row>
</mapping>
</section>
<section title="Supermajor">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-13 -46 37</monzo>
</commas>
<mapping legend="1">
<row>1 15 19</row>
<row>0 -37 -46</row>
</mapping>
</section>
<section title="Gamera">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>10 -40 23</monzo>
</commas>
<mapping legend="1">
<row>1 6 10</row>
<row>0 -23 -40</row>
</mapping>
</section>
<section title="Tritriple">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>31 20 -27</monzo>
</commas>
<mapping legend="1">
<row>1 -11 -7</row>
<row>0 27 20</row>
</mapping>
</section>
<section title="Kangaroo">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>64000/59049</ratio>
</commas>
<mapping legend="1">
<row>1 0 -3</row>
<row>0 3 10</row>
</mapping>
</section>
<section title="Tertiaseptal">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-59 5 22</monzo>
</commas>
<mapping legend="1">
<row>1 3 2</row>
<row>0 -22 5</row>
</mapping>
</section>
<section title="Untriton">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-51 19 9</monzo>
</commas>
<mapping legend="1">
<row>1 6 -7</row>
<row>0 -9 19</row>
</mapping>
</section>
<section title="Nessafof">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>25 15 -21</monzo>
</commas>
<mapping legend="1">
<row>3 2 5</row>
<row>0 7 5</row>
</mapping>
</section>
<section title="Lemba">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>140625/131072</ratio>
</commas>
<mapping legend="1">
<row>2 2 5</row>
<row>0 3 -1</row>
</mapping>
</section>
<section title="Delorean">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>17496/15625</ratio>
</commas>
<mapping legend="1">
<row>1 3 4</row>
<row>0 -6 -7</row>
</mapping>
</section>
<section title="Majvam">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>2404631929946112/2384185791015625</ratio>
</commas>
<mapping legend="1">
<row>1 10 5</row>
<row>0 -22 -7</row>
</mapping>
</section>
<section title="Beatles">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>524288/492075</ratio>
</commas>
<mapping legend="1">
<row>1 1 5</row>
<row>0 2 -9</row>
</mapping>
</section>
<section title="Magus">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>50331648/48828125</ratio>
</commas>
<mapping legend="1">
<row>1 -2 2</row>
<row>0 11 1</row>
</mapping>
</section>
<section title="Tritonic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>553584375/536870912</ratio>
</commas>
<mapping legend="1">
<row>1 4 -3</row>
<row>0 -5 11</row>
</mapping>
</section>
<section title="Wizard">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>2197265625/2147483648</ratio>
</commas>
<mapping legend="1">
<row>2 1 5</row>
<row>0 6 -1</row>
</mapping>
</section>
<section title="Merman">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-40 15 7</monzo>
</commas>
<mapping legend="1">
<row>1 5 -5</row>
<row>0 -7 15</row>
</mapping>
</section>
<section title="Nusecond">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>51018336/48828125</ratio>
</commas>
<mapping legend="1">
<row>1 3 4</row>
<row>0 -11 -13</row>
</mapping>
</section>
<section title="Comic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>5120000/4782969</ratio>
</commas>
<mapping legend="1">
<row>2 1 -3</row>
<row>0 2 7</row>
</mapping>
</section>
<section title="Sfourth">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-5 31 -19</monzo>
</commas>
<mapping legend="1">
<row>1 2 3</row>
<row>0 -19 -31</row>
</mapping>
</section>
<section title="Thuja">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>254803968/244140625</ratio>
</commas>
<mapping legend="1">
<row>1 -4 0</row>
<row>0 12 5</row>
</mapping>
</section>
<section title="Leapday">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>10737418240/10460353203</ratio>
</commas>
<mapping legend="1">
<row>1 0 -31</row>
<row>0 1 21</row>
</mapping>
</section>
<section title="Vines">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>156728328192/152587890625</ratio>
</commas>
<mapping legend="1">
<row>2 7 8</row>
<row>0 -8 -7</row>
</mapping>
</section>
<section title="Emka">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-50 -8 27</monzo>
</commas>
<mapping legend="1">
<row>1 14 6</row>
<row>0 -27 -8</row>
</mapping>
</section>
<section title="Misneb">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-57 14 15</monzo>
</commas>
<mapping legend="1">
<row>1 3 1</row>
<row>0 -15 14</row>
</mapping>
</section>
<section title="Semisept">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>782757789696/762939453125</ratio>
</commas>
<mapping legend="1">
<row>1 12 6</row>
<row>0 -17 -6</row>
</mapping>
</section>
<section title="Septimin">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>35595703125/34359738368</ratio>
</commas>
<mapping legend="1">
<row>1 4 1</row>
<row>0 -11 6</row>
</mapping>
</section>
<section title="Slurpee">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>177147/156250</ratio>
</commas>
<mapping legend="1">
<row>1 2 3</row>
<row>0 -7 -11</row>
</mapping>
</section>
<section title="Pentadecal">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>30517578125/29386561536</ratio>
</commas>
<mapping legend="1">
<row>15 0 11</row>
<row>0 1 1</row>
</mapping>
</section>
<section title="Anthoine">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>286102294921875/281474976710656</ratio>
</commas>
<mapping legend="1">
<row>1 8 2</row>
<row>0 -20 1</row>
</mapping>
</section>
<section title="Sentinel">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>8968066875/8589934592</ratio>
</commas>
<mapping legend="1">
<row>1 3 -3</row>
<row>0 -4 15</row>
</mapping>
</section>
<section title="Kumonga">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1289945088/1220703125</ratio>
</commas>
<mapping legend="1">
<row>1 4 4</row>
<row>0 -13 -9</row>
</mapping>
</section>
<section title="Mirkat">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>20 -39 18</monzo>
</commas>
<mapping legend="1">
<row>3 2 1</row>
<row>0 6 13</row>
</mapping>
</section>
<section title="Semidimi">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-12 -73 55</monzo>
</commas>
<mapping legend="1">
<row>1 36 48</row>
<row>0 -55 -73</row>
</mapping>
</section>
<section title="Slender">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-46 10 13</monzo>
</commas>
<mapping legend="1">
<row>1 2 2</row>
<row>0 -13 10</row>
</mapping>
</section>
<section title="Quasitemp">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>6103515625/5804752896</ratio>
</commas>
<mapping legend="1">
<row>1 5 5</row>
<row>0 -14 -11</row>
</mapping>
</section>
<section title="Cypress">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>258280326/244140625</ratio>
</commas>
<mapping legend="1">
<row>1 7 10</row>
<row>0 -12 -17</row>
</mapping>
</section>
<section title="Chromo">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1220703125/1146617856</ratio>
</commas>
<mapping legend="1">
<row>1 1 2</row>
<row>0 13 7</row>
</mapping>
</section>
<section title="Tertiosec">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-89 21 24</monzo>
</commas>
<mapping legend="1">
<row>3 7 5</row>
<row>0 -8 7</row>
</mapping>
</section>
<section title="Fervor">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>67108864/61509375</ratio>
</commas>
<mapping legend="1">
<row>1 4 -2</row>
<row>0 -5 9</row>
</mapping>
</section>
<section title="Bohpier">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1220703125/1162261467</ratio>
</commas>
<mapping legend="1">
<row>1 0 0</row>
<row>0 13 19</row>
</mapping>
</section>
<section title="Elvis">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>36905625/33554432</ratio>
</commas>
<mapping legend="1">
<row>2 1 10</row>
<row>0 2 -5</row>
</mapping>
</section>
<section title="Enneadecacot">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>79 -22 -19</monzo>
</commas>
<mapping legend="1">
<row>1 1 3</row>
<row>0 19 -22</row>
</mapping>
</section>
<section title="Vinegar">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>16000000/14348907</ratio>
</commas>
<mapping legend="1">
<row>3 0 -5</row>
<row>0 2 5</row>
</mapping>
</section>
<section title="Oolong">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>793437161472/762939453125</ratio>
</commas>
<mapping legend="1">
<row>1 6 7</row>
<row>0 -17 -18</row>
</mapping>
</section>
<section title="Oncle">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>145282683375/137438953472</ratio>
</commas>
<mapping legend="1">
<row>1 1 6</row>
<row>0 3 -19</row>
</mapping>
</section>
<section title="Quasiorwell">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-93 3 38</monzo>
</commas>
<mapping legend="1">
<row>1 31 0</row>
<row>0 -38 3</row>
</mapping>
</section>
<section title="Diesic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>10460353203/9765625000</ratio>
</commas>
<mapping legend="1">
<row>1 2 3</row>
<row>0 -13 -21</row>
</mapping>
</section>
<section title="Quartemka">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>2 -32 21</monzo>
</commas>
<mapping legend="1">
<row>1 4 6</row>
<row>0 -21 -32</row>
</mapping>
</section>
<section title="Genocchi">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>2359296/1953125</ratio>
</commas>
<mapping legend="1">
<row>1 0 2</row>
<row>0 9 2</row>
</mapping>
</section>
<section title="Casablanca">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>22 14 -19</monzo>
</commas>
<mapping legend="1">
<row>1 -7 -14</row>
<row>0 19 14</row>
</mapping>
</section>
<section title="Archaeotherium">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>597871125/536870912</ratio>
</commas>
<mapping legend="1">
<row>1 1 5</row>
<row>0 3 -14</row>
</mapping>
</section>
<section title="Octacoid">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>8589934592/7688671875</ratio>
</commas>
<mapping legend="1">
<row>1 1 3</row>
<row>0 8 -9</row>
</mapping>
</section>
<section title="Quasimoha">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-41 23 2</monzo>
</commas>
<mapping legend="1">
<row>1 1 9</row>
<row>0 2 -23</row>
</mapping>
</section>
<section title="Phillips">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>9685512225/8589934592</ratio>
</commas>
<mapping legend="1">
<row>2 0 33</row>
<row>0 1 -9</row>
</mapping>
</section>
<section title="Satin">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>104 -70 3</monzo>
</commas>
<mapping legend="1">
<row>1 2 12</row>
<row>0 -3 -70</row>
</mapping>
</section>
<section title="Lockerbie">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>91 51 -74</monzo>
</commas>
<mapping legend="1">
<row>1 -25 -16</row>
<row>0 74 51</row>
</mapping>
</section>
<section title="Rarity">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-57 17 13</monzo>
</commas>
<mapping legend="1">
<row>1 11 -10</row>
<row>0 -13 17</row>
</mapping>
</section>
<section title="Jorgensen">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>111 -70</monzo>
</commas>
<mapping legend="1">
<row>70 111 0</row>
<row>0 0 1</row>
</mapping>
</section>
<section title="References"/>
</section>
<section title="Horwell family">
<section title="Horwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 16</row>
<row>0 1 0 -1</row>
<row>0 0 1 -5</row>
</mapping>
<mappingToLattice>
<row>0 -1 1 -4</row>
<row>0 -1 0 -1</row>
</mappingToLattice>
</section>
<section title="Zelda">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>3388/3375</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 16 -9</row>
<row>0 1 0 -1 2</row>
<row>0 0 1 -5 4</row>
</mapping>
</section>
<section title="Horwellic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 16 10</row>
<row>0 1 0 -1 1</row>
<row>0 0 2 -10 -7</row>
</mapping>
</section>
</section>
<section title="Horwell temperaments">
<section title="Mutt">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-44 -3 21</monzo>
</commas>
<mapping legend="1">
<row>3 5 7</row>
<row>0 -7 -1</row>
</mapping>
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping legend="1">
<row>3 5 7 8</row>
<row>0 -7 -1 12</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4375/4356</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>3 5 7 8 10</row>
<row>0 -7 -1 12 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>3 5 7 8 10 11</row>
<row>0 -7 -1 12 11 3</row>
</mapping>
</section>
</section>
<section title="Fifthplus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>420175/419904</ratio>
</commas>
<mapping legend="1">
<row>1 11 -3 20</row>
<row>0 -23 13 -42</row>
</mapping>
</section>
<section title="Emkay">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>244140625/243045684</ratio>
</commas>
<mapping legend="1">
<row>1 14 6 -28</row>
<row>0 -27 -8 67</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>1 14 6 -28 3</row>
<row>0 -27 -8 67 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 14 6 -28 3 6</row>
<row>0 -27 -8 67 1 -5</row>
</mapping>
</section>
<section title="See also"/>
</section>
<section title="Kastro">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>117649/116640</ratio>
</commas>
<mapping legend="1">
<row>1 5 1 6</row>
<row>0 -31 12 -29</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>3388/3375</ratio>
<ratio>12005/11979</ratio>
</commas>
<mapping>
<row>1 5 1 6 5</row>
<row>0 -31 12 -29 -14</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>3388/3375</ratio>
</commas>
<mapping>
<row>1 5 1 6 5 7</row>
<row>0 -31 12 -29 -14 -30</row>
</mapping>
</section>
</section>
<section title="Oquatonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>390625/388962</ratio>
</commas>
<mapping legend="1">
<row>28 0 65 123</row>
<row>0 1 0 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>6250/6237</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>28 0 65 123 230</row>
<row>0 1 0 -1 -3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>2080/2079</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>28 0 65 123 230 148</row>
<row>0 1 0 -1 -3 -1</row>
</mapping>
</section>
</section>
<section title="Bezique">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>847288609443/843308032000</ratio>
</commas>
<mapping legend="1">
<row>32 0 125 -113</row>
<row>0 1 -1 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>46656/46585</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>32 0 125 -113 60</row>
<row>0 1 -1 4 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>4225/4224</ratio>
<ratio>6656/6655</ratio>
</commas>
<mapping>
<row>32 0 125 -113 60 17</row>
<row>0 1 -1 4 1 2</row>
</mapping>
</section>
</section>
</section>
<section title="Immunity family">
<section title="Immunity">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1638400/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 0 -8</row>
<row>0 2 13</row>
</mapping>
<section title="2.3.5.13 subgroup">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>3200/3159</ratio>
</commas>
<mapping>
<row>1 0 -8 -9</row>
<row>0 2 13 16</row>
</mapping>
</section>
<section title="Overview to extensions"/>
</section>
<section title="Septimal immunity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>2240/2187</ratio>
</commas>
<mapping legend="1">
<row>1 0 -8 2</row>
<row>0 2 13 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 0 -8 2 9</row>
<row>0 2 13 1 -7</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>91/90</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 0 -8 2 9 -9</row>
<row>0 2 13 1 -7 16</row>
</mapping>
</section>
</section>
<section title="Impunity">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>100/99</ratio>
<ratio>1232/1215</ratio>
</commas>
<mapping>
<row>1 0 -8 2 -14</row>
<row>0 2 13 1 22</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 -8 2 -14 -9</row>
<row>0 2 13 1 22 16</row>
</mapping>
</section>
</section>
</section>
<section title="Immunized">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>8748/8575</ratio>
</commas>
<mapping legend="1">
<row>1 0 -8 6</row>
<row>0 2 13 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
<ratio>1944/1925</ratio>
</commas>
<mapping>
<row>1 0 -8 6 13</row>
<row>0 2 13 -4 -12</row>
</mapping>
</section>
</section>
<section title="Immune">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>781250/750141</ratio>
</commas>
<mapping legend="1">
<row>1 2 5 9</row>
<row>0 -2 -13 -30</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 2 5 9 8</row>
<row>0 -2 -13 -30 -22</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 2 5 9 8 7</row>
<row>0 -2 -13 -30 -22 -16</row>
</mapping>
</section>
</section>
</section>
<section title="Jubilismic clan">
<section title="Jubilic">
<subgroup>2.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
</commas>
<mapping legend="2">
<row>2 0 1</row>
<row>0 1 1</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Lemba">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>525/512</ratio>
</commas>
<mapping legend="1">
<row>2 2 5 6</row>
<row>0 3 -1 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 2 5 6 5</row>
<row>0 3 -1 -1 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
</commas>
<mapping>
<row>2 2 5 6 5 7</row>
<row>0 3 -1 -1 5 1</row>
</mapping>
</section>
</section>
<section title="Astrology">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>3125/3072</ratio>
</commas>
<mapping legend="1">
<row>2 0 4 5</row>
<row>0 5 1 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>2 0 4 5 5</row>
<row>0 5 1 1 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>2 0 4 5 5 8</row>
<row>0 5 1 1 3 -1</row>
</mapping>
</section>
<section title="Horoscope">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>66/65</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>2 0 4 5 5 3</row>
<row>0 5 1 1 3 7</row>
</mapping>
</section>
</section>
</section>
<section title="Walid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>50/49</ratio>
</commas>
<mapping legend="1">
<row>2 0 8 9</row>
<row>0 1 -1 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>22/21</ratio>
<ratio>50/49</ratio>
</commas>
<mapping>
<row>2 0 8 9 7</row>
<row>0 1 -1 -1 0</row>
</mapping>
</section>
</section>
<section title="Doublewide">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>875/864</ratio>
</commas>
<mapping legend="1">
<row>2 1 3 4</row>
<row>0 4 3 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 1 3 4 8</row>
<row>0 4 3 3 -2</row>
</mapping>
</section>
<section title="Fleetwood">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>2 1 3 4 2</row>
<row>0 4 3 3 9</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>65/63</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>2 1 3 4 2 3</row>
<row>0 4 3 3 9 8</row>
</mapping>
</section>
</section>
<section title="Cavalier">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>875/864</ratio>
</commas>
<mapping>
<row>2 1 3 4 1</row>
<row>0 4 3 3 11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>2 1 3 4 1 2</row>
<row>0 4 3 3 11 10</row>
</mapping>
</section>
</section>
</section>
<section title="Elvis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>8505/8192</ratio>
</commas>
<mapping legend="1">
<row>2 1 10 11</row>
<row>0 2 -5 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>2 1 10 11 8</row>
<row>0 2 -5 -5 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>1053/1024</ratio>
</commas>
<mapping>
<row>2 1 10 11 8 16</row>
<row>0 2 -5 -5 -1 -8</row>
</mapping>
</section>
</section>
<section title="Comic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>2240/2187</ratio>
</commas>
<mapping legend="1">
<row>2 1 -3 -2</row>
<row>0 2 7 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>99/98</ratio>
<ratio>2662/2625</ratio>
</commas>
<mapping>
<row>2 1 -3 -2 -4</row>
<row>0 2 7 7 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>65/63</ratio>
<ratio>99/98</ratio>
<ratio>968/945</ratio>
</commas>
<mapping>
<row>2 1 -3 -2 -4 3</row>
<row>0 2 7 7 10 4</row>
</mapping>
</section>
</section>
<section title="Bipyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>20480/19683</ratio>
</commas>
<mapping legend="1">
<row>2 0 -24 -23</row>
<row>0 1 9 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>121/120</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>2 0 -24 -23 -9</row>
<row>0 1 9 9 5</row>
</mapping>
</section>
</section>
<section title="Sedecic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>546875/524288</ratio>
</commas>
<mapping legend="1">
<row>16 0 37 45</row>
<row>0 1 0 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>16 0 37 45 30</row>
<row>0 1 0 0 1</row>
</mapping>
</section>
<section title="Antikythera (2.9.5.7)">
<subgroup>2.9.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="2">
<row>2 0 11 12</row>
<row>0 1 -1 -1</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Jubilismic family">
<section title="Jubilismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 1</row>
<row>0 1 0 0</row>
<row>0 0 1 1</row>
</mapping>
</section>
<section title="Undecimal jubilismic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>99/98</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 1 4</row>
<row>0 1 0 0 -2</row>
<row>0 0 1 1 2</row>
</mapping>
</section>
<section title="Festival">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 1 -4</row>
<row>0 1 0 0 2</row>
<row>0 0 1 1 1</row>
</mapping>
</section>
<section title="Fiesta">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 1 7</row>
<row>0 1 0 0 0</row>
<row>0 0 1 1 0</row>
</mapping>
</section>
<section title="Jamboree">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 1 2</row>
<row>0 1 0 0 3</row>
<row>0 0 1 1 -1</row>
</mapping>
</section>
</section>
<section title="Kalismic temperaments">
<section title="Lycoris">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>1771561/1771470</ratio>
</commas>
<mapping legend="1">
<row>2 0 -2 1 0</row>
<row>0 1 1 3 2</row>
<row>0 0 6 -5 1</row>
</mapping>
<section title="Higanbana">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>10648/10647</ratio>
<ratio>1399680/1399489</ratio>
</commas>
<mapping>
<row>2 1 -1 2 2 4</row>
<row>0 2 2 6 4 1</row>
<row>0 0 6 -5 1 4</row>
</mapping>
</section>
</section>
<section title="Van gogh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>199297406/199290375</ratio>
</commas>
<mapping legend="1">
<row>2 0 8 0 11</row>
<row>0 1 1 2 1</row>
<row>0 0 -9 -1 -10</row>
</mapping>
</section>
<section title="Sif">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>2097152/2096325</ratio>
</commas>
<mapping legend="1">
<row>2 0 1 7 11</row>
<row>0 1 0 1 -1</row>
<row>0 0 4 -5 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>4096/4095</ratio>
<ratio>6656/6655</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping>
<row>2 0 1 7 11 16</row>
<row>0 1 0 1 -1 -3</row>
<row>0 0 4 -5 -1 1</row>
</mapping>
</section>
</section>
<section title="Loki">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>5632/5625</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 -21 -18</row>
<row>0 1 0 4 2</row>
<row>0 0 1 3 4</row>
</mapping>
</section>
<section title="Pessoal">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>131072/130977</ratio>
</commas>
<mapping legend="1">
<row>2 0 1 10 14</row>
<row>0 1 0 -1 -3</row>
<row>0 0 3 -1 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>2 0 1 10 14 13</row>
<row>0 1 0 -1 -3 -1</row>
<row>0 0 3 -1 2 -2</row>
</mapping>
</section>
</section>
<section title="Linus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>391314/390625</ratio>
</commas>
<mapping legend="1">
<row>10 0 0 -11 4</row>
<row>0 1 0 1 -1</row>
<row>0 0 1 1 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>4225/4224</ratio>
<ratio>4459/4455</ratio>
</commas>
<mapping>
<row>10 0 0 -11 4 37</row>
<row>0 1 0 1 -1 0</row>
<row>0 0 1 1 2 0</row>
</mapping>
</section>
</section>
</section>
<section title="Keemic family">
<section title="Keemic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 5</row>
<row>0 1 0 3</row>
<row>0 0 1 -3</row>
</mapping>
<mappingToLattice>
<row>0 0 -1 3</row>
<row>0 1 1 0</row>
</mappingToLattice>
</section>
<section title="Undecimal keemic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 5 2</row>
<row>0 1 0 3 -2</row>
<row>0 0 1 -3 2</row>
</mapping>
</section>
<section title="Supernatural">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -1 0</row>
<row>0 5 1 12 0</row>
<row>0 0 0 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 0 -2</row>
<row>0 5 1 12 0 18</row>
<row>0 0 0 0 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Keemic temperaments">
<section title="Quasitemp">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>1 -9 -6 -4</row>
<row>0 14 11 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -9 -6 -4 8</row>
<row>0 14 11 9 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -9 -6 -4 8 9</row>
<row>0 14 11 9 -6 -7</row>
</mapping>
</section>
</section>
<section title="Quato">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -9 -6 -4 -23</row>
<row>0 14 11 9 35</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>243/242</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 -9 -6 -4 -23 -22</row>
<row>0 14 11 9 35 34</row>
</mapping>
</section>
</section>
</section>
<section title="Chromo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>2430/2401</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 2</row>
<row>0 13 7 18</row>
</mapping>
</section>
<section title="Barbad">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="1">
<row>1 -10 -5 -10</row>
<row>0 19 12 21</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/242</ratio>
<ratio>540/539</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -10 -5 -10 -13</row>
<row>0 19 12 21 27</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 -10 -5 -10 -13 -3</row>
<row>0 19 12 21 27 11</row>
</mapping>
</section>
</section>
<section title="Hyperkleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>51200/50421</ratio>
</commas>
<mapping legend="1">
<row>1 -3 -2 2</row>
<row>0 17 16 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
<ratio>2420/2401</ratio>
</commas>
<mapping>
<row>1 -3 -2 2 4</row>
<row>0 17 16 3 -2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
<ratio>275/273</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -3 -2 2 4 1</row>
<row>0 17 16 3 -2 10</row>
</mapping>
</section>
</section>
<section title="Sevond">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>327680/321489</ratio>
</commas>
<mapping legend="1">
<row>7 0 -6 53</row>
<row>0 1 2 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
<ratio>6655/6561</ratio>
</commas>
<mapping>
<row>7 0 -6 53 2</row>
<row>0 1 2 -3 2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>7 0 -6 53 2 37</row>
<row>0 1 2 -3 2 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Keenanismic family">
<section title="Keenanismic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7</row>
<row>0 1 0 0 1</row>
<row>0 0 1 0 -1</row>
<row>0 0 0 1 -1</row>
</mapping>
</section>
<section title="Martwin">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 2</row>
<row>0 1 0 0 1 4</row>
<row>0 0 1 0 -1 -2</row>
<row>0 0 0 1 -1 0</row>
</mapping>
</section>
<section title="Ancient">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 -4</row>
<row>0 1 0 0 1 -1</row>
<row>0 0 1 0 -1 4</row>
<row>0 0 0 1 -1 0</row>
</mapping>
</section>
<section title="Zaxa">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 12</row>
<row>0 1 0 0 1 -2</row>
<row>0 0 1 0 -1 -1</row>
<row>0 0 0 1 -1 -1</row>
</mapping>
</section>
</section>
<section title="Kleismic family">
<section title="Kleismic a.k.a. hanson">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>1 0 1</row>
<row>0 6 5</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Catakleismic">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 -3</row>
<row>0 6 5 22</row>
</mapping>
<section title="2.3.5.7.13 subgroup">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 1 -3 0</row>
<row>0 6 5 22 14</row>
</mapping>
</section>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 0 1 -3 9</row>
<row>0 6 5 22 -21</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 1 -3 9 0</row>
<row>0 6 5 22 -21 14</row>
</mapping>
</section>
</section>
<section title="Cataclysmic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>1 0 1 -3 -5</row>
<row>0 6 5 22 32</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 1 -3 -5 0</row>
<row>0 6 5 22 32 14</row>
</mapping>
</section>
</section>
<section title="Catalytic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 0 1 -3 -10</row>
<row>0 6 5 22 51</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>1 0 1 -3 -10 0</row>
<row>0 6 5 22 51 14</row>
</mapping>
</section>
</section>
<section title="Cataleptic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>1 0 1 -3 4</row>
<row>0 6 5 22 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 0 1 -3 4 0</row>
<row>0 6 5 22 -2 14</row>
</mapping>
</section>
</section>
<section title="Bikleismic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>2 0 2 -6 -1</row>
<row>0 6 5 22 15</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>2 0 2 -6 -1 0</row>
<row>0 6 5 22 15 14</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>2 0 2 -6 -1 0 5</row>
<row>0 6 5 22 15 14 6</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>153/152</ratio>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>2 0 2 -6 -1 0 5 -1</row>
<row>0 6 5 22 15 14 6 18</row>
</mapping>
</section>
</section>
</section>
<section title="Keemun">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 2</row>
<row>0 6 5 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 1 2 4</row>
<row>0 6 5 3 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>65/64</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 1 2 4 5</row>
<row>0 6 5 3 -2 -5</row>
</mapping>
</section>
<section title="Kema">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 1 2 4 0</row>
<row>0 6 5 3 -2 14</row>
</mapping>
</section>
<section title="Kumbaya">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 0 1 2 4 4</row>
<row>0 6 5 3 -2 -1</row>
</mapping>
</section>
</section>
<section title="Qeema">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 1 2 -1</row>
<row>0 6 5 3 17</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>78/77</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 1 2 -1 0</row>
<row>0 6 5 3 17 14</row>
</mapping>
</section>
</section>
<section title="Darjeeling">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 0 1 2 0</row>
<row>0 6 5 3 13</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 0 1 2 0 0</row>
<row>0 6 5 3 13 14</row>
</mapping>
</section>
</section>
</section>
<section title="Catalan">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 6</row>
<row>0 6 5 -12</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 0 1 6 4</row>
<row>0 6 5 -12 -2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 1 6 4 0</row>
<row>0 6 5 -12 -2 14</row>
</mapping>
</section>
</section>
<section title="Countercata">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 11</row>
<row>0 6 5 -31</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>2200/2187</ratio>
<ratio>3388/3375</ratio>
</commas>
<mapping>
<row>1 0 1 11 -5</row>
<row>0 6 5 -31 32</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 1 11 -5 0</row>
<row>0 6 5 -31 32 14</row>
</mapping>
</section>
</section>
<section title="Metakleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15625/15552</ratio>
<ratio>179200/177147</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 -12</row>
<row>0 6 5 56</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>2200/2187</ratio>
<ratio>14700/14641</ratio>
</commas>
<mapping>
<row>1 0 1 -12 -5</row>
<row>0 6 5 56 32</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 1 -12 -5 0</row>
<row>0 6 5 56 32 14</row>
</mapping>
</section>
</section>
<section title="Hemikleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4</row>
<row>0 12 10 -9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping>
<row>1 0 1 4 2</row>
<row>0 12 10 -9 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 1 4 2 0</row>
<row>0 12 10 -9 11 28</row>
</mapping>
</section>
</section>
<section title="Clyde">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping legend="1">
<row>1 -6 -4 -13</row>
<row>0 12 10 25</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 -6 -4 -13 18</row>
<row>0 12 10 25 -23</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 -6 -4 -13 18 -14</row>
<row>0 12 10 25 -23 28</row>
</mapping>
</section>
</section>
<section title="Tritikleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>3 0 3 10</row>
<row>0 6 5 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>3 0 3 10 8</row>
<row>0 6 5 -2 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>3 0 3 10 8 0</row>
<row>0 6 5 -2 3 14</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>3 0 3 10 8 0 -2</row>
<row>0 6 5 -2 3 14 18</row>
</mapping>
</section>
</section>
<section title="Marfifths">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>1 -6 -4 -17</row>
<row>0 18 15 47</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>6250/6237</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 -6 -4 -17 22</row>
<row>0 18 15 47 -44</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 -6 -4 -17 22 -14</row>
<row>0 18 15 47 -44 42</row>
</mapping>
</section>
</section>
<section title="Diatessic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>2200/2187</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>1 -6 -4 -17 -37</row>
<row>0 18 15 47 96</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -6 -4 -17 -37 -14</row>
<row>0 18 15 47 96 42</row>
</mapping>
</section>
</section>
<section title="Marf">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping>
<row>1 -6 -4 -17 14</row>
<row>0 18 15 47 -25</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 -6 -4 -17 14 -14</row>
<row>0 18 15 47 -25 42</row>
</mapping>
</section>
</section>
</section>
<section title="Kleiboh">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 -12 -9 -7</row>
<row>0 18 15 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 -12 -9 -7 -29</row>
<row>0 18 15 13 43</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 -12 -9 -7 -29 -28</row>
<row>0 18 15 13 43 42</row>
</mapping>
</section>
</section>
<section title="Quadritikleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>4 0 4 7</row>
<row>0 6 5 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>6250/6237</ratio>
</commas>
<mapping>
<row>4 0 4 7 17</row>
<row>0 6 5 4 -3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>4 0 4 7 17 0</row>
<row>0 6 5 4 -3 14</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>442/441</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>4 0 4 7 17 0 10</row>
<row>0 6 5 4 -3 14 6</row>
</mapping>
</section>
</section>
<section title="Marthirds">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15625/15552</ratio>
<ratio>2460375/2458624</ratio>
</commas>
<mapping legend="1">
<row>1 -6 -4 -19</row>
<row>0 24 20 69</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>15625/15552</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 -6 -4 -19 -43</row>
<row>0 24 20 69 147</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 -6 -4 -19 -43 -14</row>
<row>0 24 20 69 147 56</row>
</mapping>
</section>
</section>
<section title="Sqrtphi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15625/15552</ratio>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="1">
<row>1 -18 -14 -22</row>
<row>0 30 25 38</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>1 -18 -14 -22 -22</row>
<row>0 30 25 38 39</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -18 -14 -22 -22 -42</row>
<row>0 30 25 38 39 70</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>540/539</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -18 -14 -22 -22 -42 -39</row>
<row>0 30 25 38 39 70 66</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>400/399</ratio>
<ratio>442/441</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -18 -14 -22 -22 -42 -39 16</row>
<row>0 30 25 38 39 70 66 -18</row>
</mapping>
</section>
</section>
<section title="Quartkeenlig">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15625/15552</ratio>
<ratio>117649/116640</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 1</row>
<row>0 36 30 41</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>6250/6237</ratio>
<ratio>67228/66825</ratio>
</commas>
<mapping>
<row>1 0 1 1 5</row>
<row>0 36 30 41 -35</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>16807/16731</ratio>
</commas>
<mapping>
<row>1 0 1 1 5 0</row>
<row>0 36 30 41 -35 84</row>
</mapping>
</section>
</section>
<section title="Novemkleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15625/15552</ratio>
<ratio>40353607/40310784</ratio>
</commas>
<mapping legend="1">
<row>9 0 9 11</row>
<row>0 6 5 6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>4000/3993</ratio>
<ratio>15625/15552</ratio>
</commas>
<mapping>
<row>9 0 9 11 24</row>
<row>0 6 5 6 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>9 0 9 11 24 0</row>
<row>0 6 5 6 3 14</row>
</mapping>
</section>
</section>
<section title="Subgroup extensions">
<section title="Kleismic (2.3.5.13) a.k.a. cata">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 1 0</row>
<row>0 6 5 14</row>
</mapping>
</section>
</section>
</section>
<section title="Kleismic rank-3 family">
<section title="Rank-3 kleismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 0</row>
<row>0 6 5 0</row>
<row>0 0 0 1</row>
</mapping>
<section title="2.3.5.7.13 subgroup">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 1 0 0</row>
<row>0 6 5 0 14</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
</section>
<section title="Enlil">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>6250/6237</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 0 6</row>
<row>0 6 5 0 1</row>
<row>0 0 0 1 -1</row>
</mapping>
<section title="13-limit (sumatra)">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 1 0 6 0</row>
<row>0 6 5 0 1 14</row>
<row>0 0 0 1 -1 0</row>
</mapping>
</section>
</section>
<section title="Isimud">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4125/4096</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 0 9</row>
<row>0 6 5 0 -21</row>
<row>0 0 0 1 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>625/624</ratio>
<ratio>1287/1280</ratio>
</commas>
<mapping>
<row>1 0 1 0 9 0</row>
<row>0 6 5 0 -21 14</row>
<row>0 0 0 1 0 0</row>
</mapping>
</section>
</section>
<section title="Enki">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 0 1</row>
<row>0 6 5 0 4</row>
<row>0 0 0 2 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>1 0 1 0 1 0</row>
<row>0 6 5 0 4 14</row>
<row>0 0 0 2 1 0</row>
</mapping>
</section>
</section>
<section title="Catakleismoid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 -3 0</row>
<row>0 6 5 22 0</row>
<row>0 0 0 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 1 -3 0 0</row>
<row>0 6 5 22 0 14</row>
<row>0 0 0 0 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Landscape family">
<section title="Landscape">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250047/250000</ratio>
</commas>
<mapping legend="1">
<row>3 0 0 4</row>
<row>0 1 0 -2</row>
<row>0 0 1 2</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Landy">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping legend="1">
<row>3 0 0 4 -1</row>
<row>0 1 0 -2 -2</row>
<row>0 0 1 2 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>3 0 0 4 -1 -12</row>
<row>0 1 0 -2 -2 -1</row>
<row>0 0 1 2 3 4</row>
</mapping>
</section>
</section>
<section title="Odin">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>151263/151250</ratio>
</commas>
<mapping legend="1">
<row>6 0 0 8 17</row>
<row>0 1 0 -2 -4</row>
<row>0 0 1 2 3</row>
</mapping>
</section>
<section title="Tyr">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>102487/102400</ratio>
</commas>
<mapping legend="1">
<row>3 0 0 4 8</row>
<row>0 2 0 -4 1</row>
<row>0 0 1 2 0</row>
</mapping>
<section title="Borneo">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>3 0 0 4 8 -3</row>
<row>0 2 0 -4 1 3</row>
<row>0 0 1 2 0 1</row>
</mapping>
</section>
</section>
<section title="House">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>250047/250000</ratio>
<ratio>117440512/117406179</ratio>
</commas>
<mapping legend="1">
<row>3 0 -13 -22 10</row>
<row>0 1 4 6 0</row>
<row>0 0 5 10 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>6656/6655</ratio>
<ratio>105644/105625</ratio>
<ratio>123201/123200</ratio>
</commas>
<mapping>
<row>3 0 -13 -22 10 -10</row>
<row>0 1 4 6 0 4</row>
<row>0 0 5 10 -2 11</row>
</mapping>
</section>
</section>
</section>
<section title="Lehmerismic temperaments">
<section title="Skadi">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>703125/702464</ratio>
</commas>
<mapping legend="1">
<row>1 0 -1 -6 0</row>
<row>0 1 1 3 2</row>
<row>0 0 6 14 1</row>
</mapping>
</section>
<section title="Ganesha">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -22 -9</row>
<row>0 1 0 1 2</row>
<row>0 0 1 10 4</row>
</mapping>
</section>
<section title="Hanuman">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping legend="1">
<row>1 2 0 -8 1</row>
<row>0 -3 0 11 1</row>
<row>0 0 1 4 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
</commas>
<mapping>
<row>1 2 0 -8 1 -6</row>
<row>0 -3 0 11 1 3</row>
<row>0 0 1 4 1 4</row>
</mapping>
</section>
</section>
<section title="Lux">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>131072/130977</ratio>
</commas>
<mapping legend="1">
<row>1 0 -5 4 9</row>
<row>0 1 4 -1 -3</row>
<row>0 0 5 2 -4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 -5 4 9 13</row>
<row>0 1 4 -1 -3 -5</row>
<row>0 0 5 2 -4 -7</row>
</mapping>
</section>
</section>
<section title="Galaxy">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>20614528/20588575</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 10 11</row>
<row>0 1 3 -3 -3</row>
<row>0 0 9 -14 -16</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>3025/3024</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 0 -4 10 11 13</row>
<row>0 1 3 -3 -3 -4</row>
<row>0 0 9 -14 -16 -17</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1225/1224</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 0 -4 10 11 13 9</row>
<row>0 1 3 -3 -3 -4 -2</row>
<row>0 0 9 -14 -16 -17 -10</row>
</mapping>
</section>
</section>
</section>
<section title="Luna family">
<section title="Luna">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>274877906944/274658203125</ratio>
</commas>
<mapping legend="1">
<row>1 4 2</row>
<row>0 -15 2</row>
</mapping>
</section>
<section title="Lunatic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>274877906944/274658203125</ratio>
</commas>
<mapping legend="1">
<row>1 4 2 21</row>
<row>0 -15 2 -113</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>12005/11979</ratio>
<ratio>172032/171875</ratio>
</commas>
<mapping>
<row>1 4 2 21 14</row>
<row>0 -15 2 -113 -140</row>
</mapping>
</section>
</section>
<section title="Hemiluna">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>48828125/48771072</ratio>
<ratio>67108864/66976875</ratio>
</commas>
<mapping legend="1">
<row>1 4 2 -5</row>
<row>0 -30 4 97</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>5632/5625</ratio>
<ratio>14641/14580</ratio>
<ratio>131072/130977</ratio>
</commas>
<mapping>
<row>1 4 2 -5 7</row>
<row>0 -30 4 97 -44</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>4096/4095</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 4 2 -5 7 7</row>
<row>0 -30 4 97 -44 -41</row>
</mapping>
</section>
</section>
<section title="Semiluna">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4802000/4782969</ratio>
<ratio>95703125/95551488</ratio>
</commas>
<mapping legend="1">
<row>2 8 4 23</row>
<row>0 -15 2 -54</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>5632/5625</ratio>
<ratio>9801/9800</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 8 4 23 14</row>
<row>0 -15 2 -54 -22</row>
</mapping>
</section>
</section>
</section>
<section title="Magic family">
<section title="Magic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>3125/3072</ratio>
</commas>
<mapping legend="1">
<row>1 0 2</row>
<row>0 5 1</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal magic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -1</row>
<row>0 5 1 12</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6</row>
<row>0 5 1 12 -8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2</row>
<row>0 5 1 12 -8 18</row>
</mapping>
<section title="Magical">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2 6</row>
<row>0 5 1 12 -8 18 -6</row>
</mapping>
<section title="Magicus">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>133/132</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2 6 9</row>
<row>0 5 1 12 -8 18 -6 -15</row>
</mapping>
</section>
<section title="Magica">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
<ratio>171/169</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2 6 -4</row>
<row>0 5 1 12 -8 18 -6 26</row>
</mapping>
</section>
</section>
<section title="Magia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2 -7</row>
<row>0 5 1 12 -8 18 35</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>171/169</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2 -7 -4</row>
<row>0 5 1 12 -8 18 35 26</row>
</mapping>
</section>
</section>
<section title="Evening">
<subgroup>2.3.5.7.11.13.29.31</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>145/144</ratio>
<ratio>155/154</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2 2 4</row>
<row>0 5 1 12 -8 18 9 3</row>
</mapping>
</section>
</section>
<section title="Sorcery">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 4</row>
<row>0 5 1 12 -8 -1</row>
</mapping>
</section>
<section title="Necromancy">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 11</row>
<row>0 5 1 12 -8 -23</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>154/153</ratio>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 11 6</row>
<row>0 5 1 12 -8 -23 -6</row>
</mapping>
</section>
</section>
<section title="Soothsaying">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
<ratio>1352/1331</ratio>
</commas>
<mapping>
<row>2 0 4 -2 12 15</row>
<row>0 5 1 12 -8 -12</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>2 0 4 -2 12 15 5</row>
<row>0 5 1 12 -8 -12 5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>133/132</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>2 0 4 -2 12 15 5 18</row>
<row>0 5 1 12 -8 -12 5 -15</row>
</mapping>
</section>
</section>
</section>
<section title="Telepathy">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 2 -1 -1</row>
<row>0 5 1 12 14</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 2 -1 -1 4</row>
<row>0 5 1 12 14 -1</row>
</mapping>
</section>
<section title="Intuition">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>66/65</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
</commas>
<mapping>
<row>1 0 2 -1 -1 -2</row>
<row>0 5 1 12 14 18</row>
</mapping>
</section>
</section>
<section title="Horcrux">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 0</row>
<row>0 5 1 12 11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 0 -2</row>
<row>0 5 1 12 11 18</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>85/84</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 0 -2 0</row>
<row>0 5 1 12 11 18 16</row>
</mapping>
</section>
<section title="Horcruxic">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>35/34</ratio>
<ratio>45/44</ratio>
<ratio>52/51</ratio>
<ratio>56/55</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 0 -2 0</row>
<row>0 5 1 12 11 18 13</row>
</mapping>
</section>
</section>
<section title="Glamour">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>65/64</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 0 4</row>
<row>0 5 1 12 11 -1</row>
</mapping>
</section>
</section>
<section title="Witchcraft">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 0 2 -1 -7</row>
<row>0 5 1 12 33</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 2 -1 -7 -2</row>
<row>0 5 1 12 33 18</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 -7 -2 -7</row>
<row>0 5 1 12 33 18 35</row>
</mapping>
</section>
</section>
<section title="Divination">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>2 0 4 -2 5</row>
<row>0 5 1 12 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>2 0 4 -2 5 -4</row>
<row>0 5 1 12 3 18</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>2 0 4 -2 5 -4 5</row>
<row>0 5 1 12 3 18 5</row>
</mapping>
</section>
</section>
<section title="Hocus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -5 1 -13 -13</row>
<row>0 10 2 24 25</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -5 1 -13 -13 -20</row>
<row>0 10 2 24 25 36</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>154/153</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -5 1 -13 -13 -20 -15</row>
<row>0 10 2 24 25 36 29</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>154/153</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -5 1 -13 -13 -20 -3</row>
<row>0 10 2 24 25 36 29 11</row>
</mapping>
</section>
</section>
</section>
<section title="Muggles">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>525/512</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 5</row>
<row>0 5 1 -7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 2 5 0</row>
<row>0 5 1 -7 11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 2 5 0 4</row>
<row>0 5 1 -7 11 -1</row>
</mapping>
</section>
</section>
<section title="Muggloid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 2 5 5</row>
<row>0 5 1 -7 -5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>65/64</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 2 5 5 4</row>
<row>0 5 1 -7 -5 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Brightstone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>3125/3024</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 6</row>
<row>0 5 1 -10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 0 2 6 -1</row>
<row>0 5 1 -10 14</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 0 2 6 6 4</row>
<row>0 5 1 -10 14 -4</row>
</mapping>
</section>
</section>
<section title="Darkstone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>1875/1792</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 0</row>
<row>0 5 1 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>363/343</ratio>
</commas>
<mapping>
<row>1 0 2 0 0</row>
<row>0 5 1 9 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>363/343</ratio>
</commas>
<mapping>
<row>1 0 2 0 0 -1</row>
<row>0 5 1 9 11 15</row>
</mapping>
</section>
</section>
<section title="Hocum">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3125/3072</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping legend="1">
<row>1 -5 1 14</row>
<row>0 10 2 -17</row>
</mapping>
</section>
<section title="Trismegistus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>3125/3072</ratio>
</commas>
<mapping legend="1">
<row>1 -5 1 5</row>
<row>0 15 3 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -5 1 5 -4</row>
<row>0 15 3 -5 17</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>275/273</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -5 1 5 -4 -2</row>
<row>0 15 3 -5 17 13</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.19 subgroup">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>441/440</ratio>
<ratio>210/209</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -5 1 5 -4 -2 6</row>
<row>0 15 3 -5 17 13 -4</row>
</mapping>
</section>
</section>
<section title="Quadrimage">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>3125/3072</ratio>
</commas>
<mapping legend="1">
<row>1 -15 -1 -3</row>
<row>0 20 4 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -15 -1 -3 -4</row>
<row>0 20 4 7 9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -15 -1 -3 -22</row>
<row>0 20 4 7 9 31</row>
</mapping>
</section>
</section>
<section title="Quinmage">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3125/3072</ratio>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="1">
<row>1 -10 0 -6</row>
<row>0 25 5 19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>625/616</ratio>
<ratio>2401/2376</ratio>
</commas>
<mapping>
<row>1 -10 0 -6 3</row>
<row>0 25 5 19 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>625/616</ratio>
</commas>
<mapping>
<row>1 -10 0 -6 3 0</row>
<row>0 25 5 19 1 8</row>
</mapping>
</section>
</section>
<section title="Warlock">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3125/3072</ratio>
<ratio>16807/16384</ratio>
</commas>
<mapping legend="1">
<row>5 0 10 14</row>
<row>0 5 1 0</row>
</mapping>
</section>
</section>
<section title="Maja family">
<section title="Maja">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>762939453125/753145430616</ratio>
</commas>
<mapping legend="1">
<row>1 8 11</row>
<row>0 -17 -23</row>
</mapping>
</section>
<section title="Septimal maja">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2430/2401</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 8 11 13</row>
<row>0 -17 -23 -27</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 8 11 13 11</row>
<row>0 -17 -23 -27 -20</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 8 11 13 11 12</row>
<row>0 -17 -23 -27 -20 -22</row>
</mapping>
</section>
</section>
<section title="Majo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>1250000/1240029</ratio>
</commas>
<mapping legend="1">
<row>1 8 11 -7</row>
<row>0 -17 -23 26</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2200/2187</ratio>
<ratio>3388/3375</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping>
<row>1 8 11 -7 31</row>
<row>0 -17 -23 26 -73</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>1001/1000</ratio>
<ratio>2704/2695</ratio>
</commas>
<mapping>
<row>1 8 11 -7 31 12</row>
<row>0 -17 -23 26 -73 -22</row>
</mapping>
</section>
</section>
<section title="Notes"/>
</section>
<section title="Maquila family">
<section title="Maquila">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>49 -6 -17</monzo>
</commas>
<mapping legend="1">
<row>1 -6 5</row>
<row>0 17 -6</row>
</mapping>
</section>
<section title="Septimal maquila">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>30233088/28824005</ratio>
</commas>
<mapping legend="1">
<row>1 -6 5 -7</row>
<row>0 17 -6 22</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>73728/73205</ratio>
</commas>
<mapping>
<row>1 -6 5 -7 -1</row>
<row>0 17 -6 22 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -6 5 -7 -1 -7</row>
<row>0 17 -6 22 10 24</row>
</mapping>
</section>
</section>
<section title="Maquiloid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>1 -6 5 -3</row>
<row>0 17 -6 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 -6 5 -3 -1</row>
<row>0 17 -6 13 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>169/168</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -6 5 -3 -1 -3</row>
<row>0 17 -6 13 10 15</row>
</mapping>
</section>
</section>
<section title="Hemimaquila">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>184528125/184473632</ratio>
</commas>
<mapping legend="1">
<row>1 -6 5 -5</row>
<row>0 34 -12 35</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>5632/5625</ratio>
<ratio>12005/11979</ratio>
</commas>
<mapping>
<row>1 -6 5 -5 -1</row>
<row>0 34 -12 35 20</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -6 5 -5 -1 -5</row>
<row>0 34 -12 35 20 39</row>
</mapping>
</section>
</section>
</section>
<section title="Marvel family">
<section title="Marvel">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5</row>
<row>0 1 0 2</row>
<row>0 0 1 2</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Undecimal marvel">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 12</row>
<row>0 1 0 2 -1</row>
<row>0 0 1 2 -3</row>
</mapping>
<mappingToLattice>
<row>0 -1 0 -2 1</row>
<row>0 -1 1 0 -2</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 -4</row>
<row>0 1 0 2 -1 -1</row>
<row>0 0 1 2 -3 4</row>
</mapping>
</section>
<section title="Hecate">
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 2</row>
<row>0 1 0 2 -1 4</row>
<row>0 0 1 2 -3 -2</row>
</mapping>
<section title="2.3.5.7.11.13.19 subgroup">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>400/399</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 2 9</row>
<row>0 1 0 2 -1 4 -3</row>
<row>0 0 1 2 -3 -2 0</row>
</mapping>
</section>
</section>
<section title="Apotropaia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 2 18</row>
<row>0 1 0 2 -1 4 0</row>
<row>0 0 1 2 -3 -2 -6</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>400/399</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 2 18 9</row>
<row>0 1 0 2 -1 4 0 -3</row>
<row>0 0 1 2 -3 -2 -6 0</row>
</mapping>
</section>
</section>
<section title="Enodia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 2 -13</row>
<row>0 1 0 2 -1 4 2</row>
<row>0 0 1 2 -3 -2 6</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>400/399</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 2 -13 9</row>
<row>0 1 0 2 -1 4 2 -3</row>
<row>0 0 1 2 -3 -2 6 0</row>
</mapping>
</section>
</section>
</section>
<section title="Marvell">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>1573/1568</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 -29</row>
<row>0 1 0 2 -1 6</row>
<row>0 0 1 2 -3 10</row>
</mapping>
</section>
<section title="Isis">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 17</row>
<row>0 1 0 2 -1 -4</row>
<row>0 0 1 2 -3 -3</row>
</mapping>
</section>
<section title="Deecee">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 27</row>
<row>0 1 0 2 -1 -3</row>
<row>0 0 1 2 -3 -8</row>
</mapping>
</section>
<section title="Tripod">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 -8</row>
<row>0 1 0 2 -1 3</row>
<row>0 0 1 2 -3 3</row>
</mapping>
</section>
<section title="Marvelcat">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -5 12 -1</row>
<row>0 2 0 4 -2 3</row>
<row>0 0 1 2 -3 1</row>
</mapping>
</section>
</section>
<section title="Prodigy">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 -13</row>
<row>0 1 0 2 6</row>
<row>0 0 1 2 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -13 -8</row>
<row>0 1 0 2 6 3</row>
<row>0 0 1 2 3 3</row>
</mapping>
</section>
<section title="Prodigious">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -13 -23</row>
<row>0 1 0 2 6 11</row>
<row>0 0 1 2 3 4</row>
</mapping>
</section>
<section title="Prodigal">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -13 -4</row>
<row>0 1 0 2 6 -1</row>
<row>0 0 1 2 3 4</row>
</mapping>
</section>
<section title="Protannic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -13 21</row>
<row>0 1 0 2 6 -8</row>
<row>0 0 1 2 3 -2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -13 21 12</row>
<row>0 1 0 2 6 -8 -5</row>
<row>0 0 1 2 3 -2 0</row>
</mapping>
</section>
</section>
</section>
<section title="Minerva">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 -9</row>
<row>0 1 0 2 2</row>
<row>0 0 1 2 4</row>
</mapping>
<section title="Athene">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -9 -4</row>
<row>0 1 0 2 2 -1</row>
<row>0 0 1 2 4 4</row>
</mapping>
</section>
</section>
<section title="Apollo">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 2</row>
<row>0 1 0 2 -2</row>
<row>0 0 1 2 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 0 -5 2 7</row>
<row>0 1 0 2 -2 -5</row>
<row>0 0 1 2 2 2</row>
</mapping>
</section>
<section title="Phoebus">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 0 -5 2 1</row>
<row>0 1 0 2 -2 3</row>
<row>0 0 1 2 2 3</row>
</mapping>
</section>
<section title="Musagetes">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 0 0 -5 2 2</row>
<row>0 1 0 2 -2 4</row>
<row>0 0 1 2 2 -2</row>
</mapping>
</section>
</section>
<section title="Potassium">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 -2</row>
<row>0 1 0 2 2</row>
<row>0 0 1 2 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -2 -8</row>
<row>0 1 0 2 2 3</row>
<row>0 0 1 2 1 3</row>
</mapping>
</section>
</section>
<section title="Malcolm">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 -3</row>
<row>0 1 0 2 7</row>
<row>0 0 1 2 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 0 -5 -3 2</row>
<row>0 1 0 2 7 4</row>
<row>0 0 1 2 -2 -2</row>
</mapping>
</section>
</section>
<section title="Fantastic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 -10 -7</row>
<row>0 1 0 2 0</row>
<row>0 0 1 2 3</row>
</mapping>
</section>
<section title="Hestia">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>125000/124509</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -5 9</row>
<row>0 2 0 4 -7</row>
<row>0 0 1 2 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 0 0 -5 9 -1</row>
<row>0 2 0 4 -7 3</row>
<row>0 0 1 2 0 1</row>
</mapping>
</section>
</section>
<section title="Morfil">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping legend="1">
<row>1 0 -2 -9 -6</row>
<row>0 1 2 6 5</row>
<row>0 0 3 6 4</row>
</mapping>
</section>
<section title="Subgroup extensions">
<section title="Char">
<subgroup>2.3.5.7.17</subgroup>
<commas>
<ratio>120/119</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 0 0 -5 8</row>
<row>0 1 0 2 -1</row>
<row>0 0 1 2 -1</row>
</mapping>
</section>
<section title="Devimarvel">
<subgroup>2.3.5.7.19</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>400/399</ratio>
</commas>
<mapping>
<row>1 0 0 -5 9</row>
<row>0 1 0 2 -3</row>
<row>0 0 1 2 0</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Marvel temperaments">
<section title="Wizard">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="1">
<row>2 1 5 2</row>
<row>0 6 -1 10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>2 1 5 2 8</row>
<row>0 6 -1 10 -3</row>
</mapping>
<section title="Lizard">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 1 5 2 8 11</row>
<row>0 6 -1 10 -3 -10</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>273/272</ratio>
<ratio>289/288</ratio>
<ratio>351/350</ratio>
<ratio>375/374</ratio>
</commas>
<mapping>
<row>2 1 5 2 8 11 6</row>
<row>0 6 -1 10 -3 -10 6</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>153/152</ratio>
<ratio>210/209</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>343/342</ratio>
</commas>
<mapping>
<row>2 1 5 2 8 11 6 2</row>
<row>0 6 -1 10 -3 -10 6 18</row>
</mapping>
</section>
</section>
<section title="Gizzard">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1573/1568</ratio>
</commas>
<mapping>
<row>2 1 5 2 8 -2</row>
<row>0 6 -1 10 -3 26</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 1 5 2 8 -2 6</row>
<row>0 6 -1 10 -3 26 6</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>400/399</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>2 1 5 2 8 -2 6 15</row>
<row>0 6 -1 10 -3 26 6 -18</row>
</mapping>
</section>
</section>
</section>
<section title="Mage">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>1331/1296</ratio>
</commas>
<mapping>
<row>2 1 5 2 4</row>
<row>0 6 -1 10 8</row>
</mapping>
</section>
</section>
<section title="Tritonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>50421/50000</ratio>
</commas>
<mapping legend="1">
<row>1 -1 8 9</row>
<row>0 5 -11 -12</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 -1 8 9 5</row>
<row>0 5 -11 -12 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 -1 8 9 5 13</row>
<row>0 5 -11 -12 -3 -18</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>196/195</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 -1 8 9 5 13 17</row>
<row>0 5 -11 -12 -3 -18 -25</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>77/76</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>153/152</ratio>
<ratio>196/195</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 -1 8 9 5 13 17 12</row>
<row>0 5 -11 -12 -3 -18 -25 -15</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>77/76</ratio>
<ratio>105/104</ratio>
<ratio>115/114</ratio>
<ratio>121/120</ratio>
<ratio>153/152</ratio>
<ratio>161/160</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 -1 8 9 5 13 17 12 4</row>
<row>0 5 -11 -12 -3 -18 -25 -15 1</row>
</mapping>
</section>
</section>
<section title="Tritoni">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>27783/27500</ratio>
</commas>
<mapping>
<row>1 -1 8 9 -11</row>
<row>0 5 -11 -12 28</row>
</mapping>
</section>
</section>
<section title="Septimin">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>84035/82944</ratio>
</commas>
<mapping legend="1">
<row>1 -7 7 -5</row>
<row>0 11 -6 10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -7 7 -5 -2</row>
<row>0 11 -6 10 7</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -7 7 -5 -2 -8</row>
<row>0 11 -6 10 7 15</row>
</mapping>
</section>
</section>
<section title="Merman">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>2500000/2470629</ratio>
</commas>
<mapping legend="1">
<row>1 -2 10 11</row>
<row>0 7 -15 -16</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>1 -2 10 11 5</row>
<row>0 7 -15 -16 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 -2 10 11 5 -5</row>
<row>0 7 -15 -16 -3 17</row>
</mapping>
</section>
</section>
<section title="Mermaid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>532400/531441</ratio>
</commas>
<mapping>
<row>1 -2 10 11 -16</row>
<row>0 7 -15 -16 38</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>1 -2 10 11 22 32</row>
<row>0 7 -15 -16 38 58</row>
</mapping>
</section>
</section>
</section>
<section title="Slender">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>589824/588245</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 3</row>
<row>0 -13 10 -6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 2 2 3 4</row>
<row>0 -13 10 -6 -17</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 2 2 3 4 3</row>
<row>0 -13 10 -6 -17 22</row>
</mapping>
</section>
</section>
<section title="Triton">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping legend="1">
<row>1 0 6 7</row>
<row>0 3 -7 -8</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping>
<row>1 0 6 7 4</row>
<row>0 3 -7 -8 -1</row>
</mapping>
</section>
</section>
<section title="Marvolo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>156250000/155649627</ratio>
</commas>
<mapping legend="1">
<row>1 2 1 1</row>
<row>0 -6 19 26</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>1 2 1 1 2</row>
<row>0 -6 19 26 21</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 2 1 1 2 3</row>
<row>0 -6 19 26 21 10</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 2 1 1 2 3 2</row>
<row>0 -6 19 26 21 10 30</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>210/209</ratio>
<ratio>221/220</ratio>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 2 1 1 2 3 2 3</row>
<row>0 -6 19 26 21 10 30 18</row>
</mapping>
</section>
</section>
<section title="Enneaportent">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>40353607/40310784</ratio>
</commas>
<mapping legend="1">
<row>9 0 28 11</row>
<row>0 2 -1 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>12005/11979</ratio>
</commas>
<mapping>
<row>9 0 28 11 24</row>
<row>0 2 -1 2 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>9 0 28 11 24 19</row>
<row>0 2 -1 2 1 2</row>
</mapping>
</section>
</section>
<section title="Gracecordial">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>781250000/771895089</ratio>
</commas>
<mapping legend="1">
<row>1 0 34 63</row>
<row>0 1 -20 -38</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>236328125/234365481</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90</row>
<row>0 1 -20 -38 59</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>831875/830466</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90 -66</row>
<row>0 1 -20 -38 59 44</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>4928/4913</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90 -66 -7</row>
<row>0 1 -20 -38 59 44 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>324/323</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1445/1444</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90 -66 -7 9</row>
<row>0 1 -20 -38 59 44 7 -3</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>324/323</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>460/459</ratio>
<ratio>529/528</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90 -66 -7 9 -43</row>
<row>0 1 -20 -38 59 44 7 -3 30</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>290/289</ratio>
<ratio>324/323</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>460/459</ratio>
<ratio>494/493</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90 -66 -7 9 -43 -49</row>
<row>0 1 -20 -38 59 44 7 -3 30 34</row>
</mapping>
</section>
<section title="31-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29.31</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>290/289</ratio>
<ratio>324/323</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>460/459</ratio>
<ratio>465/464</ratio>
<ratio>494/493</ratio>
</commas>
<mapping>
<row>1 0 34 63 -90 -66 -7 9 -43 -49 -79</row>
<row>0 1 -20 -38 59 44 7 -3 30 34 53</row>
</mapping>
</section>
</section>
<section title="Gracecord">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>109375/107811</ratio>
</commas>
<mapping>
<row>1 0 34 63 89</row>
<row>0 1 -20 -38 -54</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>6125/6084</ratio>
</commas>
<mapping>
<row>1 0 34 63 89 113</row>
<row>0 1 -20 -38 -54 -69</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>2000/1989</ratio>
</commas>
<mapping>
<row>1 0 34 63 89 113 -7</row>
<row>0 1 -20 -38 -54 -69 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>210/209</ratio>
<ratio>225/224</ratio>
<ratio>324/323</ratio>
<ratio>364/363</ratio>
<ratio>400/399</ratio>
<ratio>665/663</ratio>
</commas>
<mapping>
<row>1 0 34 63 89 113 -7 9</row>
<row>0 1 -20 -38 -54 -69 7 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Alphorn">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>5764801/5668704</ratio>
</commas>
<mapping legend="1">
<row>1 -7 5 -9</row>
<row>0 16 -5 22</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>12250/11979</ratio>
</commas>
<mapping>
<row>1 -7 5 -9 4</row>
<row>0 16 -5 22 -1</row>
</mapping>
</section>
</section>
<section title="Misneb">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>4194304/4117715</ratio>
</commas>
<mapping legend="1">
<row>1 -12 15 1</row>
<row>0 15 -14 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>1310720/1294139</ratio>
</commas>
<mapping>
<row>1 -12 15 1 27</row>
<row>0 15 -14 2 -26</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>640/637</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -12 15 1 27 20</row>
<row>0 15 -14 2 -26 -18</row>
</mapping>
</section>
</section>
<section title="Musneb">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>66550/64827</ratio>
</commas>
<mapping>
<row>1 3 1 3 6</row>
<row>0 -15 14 -2 -27</row>
</mapping>
</section>
</section>
<section title="Untriton">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>125000000/121060821</ratio>
</commas>
<mapping legend="1">
<row>1 -3 12 13</row>
<row>0 9 -19 -20</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>22000/21609</ratio>
</commas>
<mapping>
<row>1 -3 12 13 6</row>
<row>0 9 -19 -20 -5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>1040/1029</ratio>
</commas>
<mapping>
<row>1 -3 12 13 6 20</row>
<row>0 9 -19 -20 -5 -32</row>
</mapping>
</section>
</section>
<section title="Naiadical">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>823543/800000</ratio>
</commas>
<mapping legend="1">
<row>1 -4 11 9</row>
<row>0 9 -14 -10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
<ratio>1617/1600</ratio>
</commas>
<mapping>
<row>1 -4 11 9 14</row>
<row>0 9 -14 -10 -17</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 -4 11 9 14 13</row>
<row>0 9 -14 -10 -17 -15</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>221/220</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -4 11 9 14 13 14</row>
<row>0 9 -14 -10 -17 -15 -16</row>
</mapping>
</section>
</section>
<section title="Quintannic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>9805926501/9765625000</ratio>
</commas>
<mapping legend="1">
<row>1 1 5 7</row>
<row>0 5 -23 -36</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>43923/43750</ratio>
</commas>
<mapping>
<row>1 1 5 7 8</row>
<row>0 5 -23 -36 -39</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>1001/1000</ratio>
<ratio>1188/1183</ratio>
</commas>
<mapping>
<row>1 1 5 7 8 3</row>
<row>0 5 -23 -36 -39 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
<ratio>891/884</ratio>
</commas>
<mapping>
<row>1 1 5 7 8 3 7</row>
<row>0 5 -23 -36 -39 6 -25</row>
</mapping>
</section>
</section>
<section title="Gwazy">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>5971968/5764801</ratio>
</commas>
<mapping legend="1">
<row>2 1 6 4</row>
<row>0 8 -5 6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>65536/65219</ratio>
</commas>
<mapping>
<row>2 1 6 4 8</row>
<row>0 8 -5 6 -4</row>
</mapping>
</section>
</section>
<section title="Tertiosec">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>14495514624/13841287201</ratio>
</commas>
<mapping legend="1">
<row>3 -1 12 7</row>
<row>0 8 -7 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>3840/3773</ratio>
<ratio>12005/11979</ratio>
</commas>
<mapping>
<row>3 -1 12 7 14</row>
<row>0 8 -7 2 -5</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Meantone family">
<section title="Meantone">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>81/80</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4</row>
<row>0 1 4</row>
</mapping>
<section title="Overview to extensions">
<section title="Strong extensions"/>
<section title="Splitting the meantone fifth into two (243/242)"/>
<section title="Splitting the meantone fifth into three (1029/1024)"/>
<section title="31edo as splitting the fifth into two, three and nine"/>
</section>
</section>
<section title="Septimal meantone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -13</row>
<row>0 1 4 10</row>
</mapping>
<section title="Undecimal meantone (huygens)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25</row>
<row>0 1 4 10 18</row>
</mapping>
<section title="Grosstone">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 29</row>
<row>0 1 4 10 18 -16</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 29 12</row>
<row>0 1 4 10 18 -16 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 29 12 9</row>
<row>0 1 4 10 18 -16 -5 -3</row>
</mapping>
</section>
</section>
<section title="Fokkertone">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -20</row>
<row>0 1 4 10 18 15</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -20 12</row>
<row>0 1 4 10 18 15 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -20 12 9</row>
<row>0 1 4 10 18 15 -5 -3</row>
</mapping>
</section>
</section>
<section title="Meridetone">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -39</row>
<row>0 1 4 10 18 27</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -39 12</row>
<row>0 1 4 10 18 27 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -39 12 9</row>
<row>0 1 4 10 18 27 -5 -3</row>
</mapping>
</section>
</section>
<section title="Hemimeantone">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -5</row>
<row>0 2 8 20 36 11</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -5 -22</row>
<row>0 2 8 20 36 11 33</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>153/152</ratio>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -25 -5 -22 -25</row>
<row>0 2 8 20 36 11 33 37</row>
</mapping>
</section>
</section>
<section title="Semimeantone">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -50 -59</row>
<row>0 1 4 10 18 21</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -50 -59 5</row>
<row>0 1 4 10 18 21 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>153/152</ratio>
<ratio>209/208</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -50 -59 5 -1</row>
<row>0 1 4 10 18 21 1 3</row>
</mapping>
</section>
</section>
</section>
<section title="Meanpop">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 24</row>
<row>0 1 4 10 -13</row>
</mapping>
<section title="Tridecimal meanpop">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 24 -20</row>
<row>0 1 4 10 -13 15</row>
</mapping>
<section title="Meanpoppic">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 24 -20 -37</row>
<row>0 1 4 10 -13 15 26</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>153/152</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 24 -20 -37 -40</row>
<row>0 1 4 10 -13 15 26 28</row>
</mapping>
</section>
</section>
<section title="Meanpoid">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 24 -20 12</row>
<row>0 1 4 10 -13 15 -5</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>77/76</ratio>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 24 -20 12 9</row>
<row>0 1 4 10 -13 15 -5 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Semimeanpop">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 48 39</row>
<row>0 1 4 10 -13 -10</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>221/220</ratio>
<ratio>273/272</ratio>
<ratio>289/288</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 48 39 5</row>
<row>0 1 4 10 -13 -10 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>153/152</ratio>
<ratio>209/208</ratio>
<ratio>221/220</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 48 39 5 -1</row>
<row>0 1 4 10 -13 -10 1 3</row>
</mapping>
</section>
</section>
</section>
<section title="Meanenneadecal">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6</row>
<row>0 1 4 10 6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6 -20</row>
<row>0 1 4 10 6 15</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>120/119</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6 -20 12</row>
<row>0 1 4 10 6 15 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>120/119</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6 -20 12 9</row>
<row>0 1 4 10 6 15 -5 -3</row>
</mapping>
</section>
</section>
<section title="Vincenzo">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>56/55</ratio>
<ratio>65/64</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6 10</row>
<row>0 1 4 10 6 -4</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>52/51</ratio>
<ratio>56/55</ratio>
<ratio>65/64</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6 10 12</row>
<row>0 1 4 10 6 -4 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>39/38</ratio>
<ratio>45/44</ratio>
<ratio>52/51</ratio>
<ratio>56/55</ratio>
<ratio>65/64</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -13 -6 10 12 9</row>
<row>0 1 4 10 6 -4 -5 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Bimeantone">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -31</row>
<row>0 1 4 10 12</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -31 -40</row>
<row>0 1 4 10 12 15</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>189/187</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -31 -40 5</row>
<row>0 1 4 10 12 15 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>153/152</ratio>
<ratio>189/187</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>2 0 -8 -26 -31 -40 5 -1</row>
<row>0 1 4 10 12 15 1 3</row>
</mapping>
</section>
</section>
<section title="Trimean">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>1 2 4 7 5</row>
<row>0 -3 -12 -30 -11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 2 4 7 5 3</row>
<row>0 -3 -12 -30 -11 5</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>189/187</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>1 2 4 7 5 3 8</row>
<row>0 -3 -12 -30 -11 5 -28</row>
</mapping>
</section>
</section>
<section title="Migration"/>
</section>
<section title="Flattone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>525/512</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 17</row>
<row>0 1 4 -9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 -4 17 -6</row>
<row>0 1 4 -9 6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 17 -6 10</row>
<row>0 1 4 -9 6 -4</row>
</mapping>
</section>
</section>
<section title="Ptolemy"/>
</section>
<section title="Dominant">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 6</row>
<row>0 1 4 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 0 -4 6 13</row>
<row>0 1 4 -2 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 0 -4 6 13 18</row>
<row>0 1 4 -2 -6 -9</row>
</mapping>
</section>
<section title="Dominion">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 0 -4 6 13 -9</row>
<row>0 1 4 -2 -6 8</row>
</mapping>
</section>
</section>
<section title="Domination">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>64/63</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 0 -4 6 -14</row>
<row>0 1 4 -2 11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 0 -4 6 -14 -9</row>
<row>0 1 4 -2 11 8</row>
</mapping>
</section>
</section>
<section title="Domineering">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>64/63</ratio>
</commas>
<mapping>
<row>1 0 -4 6 -6</row>
<row>0 1 4 -2 6</row>
</mapping>
</section>
<section title="Arnold">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>22/21</ratio>
<ratio>33/32</ratio>
<ratio>36/35</ratio>
</commas>
<mapping>
<row>1 0 -4 6 5</row>
<row>0 1 4 -2 -1</row>
</mapping>
</section>
<section title="Neutrominant"/>
</section>
<section title="Flattertone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>1875/1792</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -24</row>
<row>0 1 4 17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
<ratio>1375/1344</ratio>
</commas>
<mapping>
<row>1 0 -4 -24 -6</row>
<row>0 1 4 17 6</row>
</mapping>
</section>
</section>
<section title="Sharptone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>28/27</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -2</row>
<row>0 1 4 3</row>
</mapping>
<section title="Meanertone">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>28/27</ratio>
<ratio>33/32</ratio>
</commas>
<mapping>
<row>1 0 -4 -2 5</row>
<row>0 1 4 3 -1</row>
</mapping>
</section>
</section>
<section title="Mildtone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>16128/15625</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -32</row>
<row>0 1 4 22</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>176/175</ratio>
<ratio>7058/6875</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -32</row>
<row>0 1 4 22 30</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>832/825</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -32 -44</row>
<row>0 1 4 22 30</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>176/175</ratio>
<ratio>189/197</ratio>
<ratio>196/195</ratio>
<ratio>832/825</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -32 -44 12</row>
<row>0 1 4 22 30 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>176/175</ratio>
<ratio>189/187</ratio>
<ratio>196/195</ratio>
<ratio>832/825</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -32 -44 12 9</row>
<row>0 1 4 22 30 -5 -3</row>
</mapping>
</section>
</section>
<section title="Supermean">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>672/625</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -21</row>
<row>0 1 4 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
<ratio>132/125</ratio>
</commas>
<mapping>
<row>1 0 -4 -21 -14</row>
<row>0 1 4 15 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -21 -14 -9</row>
<row>0 1 4 15 11 8</row>
</mapping>
</section>
</section>
<section title="Mohajira">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 6</row>
<row>0 2 8 -11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 1 0 6 2</row>
<row>0 2 8 -11 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 1 0 6 2 4</row>
<row>0 2 8 -11 5 -1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 1 0 6 2 4 7</row>
<row>0 2 8 -11 5 -1 -10</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>77/76</ratio>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
<ratio>105/104</ratio>
<ratio>153/152</ratio>
</commas>
<mapping>
<row>1 1 0 6 2 4 7 6</row>
<row>0 2 8 -11 5 -1 -10 -6</row>
</mapping>
</section>
</section>
<section title="Mohamaq">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>392/375</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 -1</row>
<row>0 2 8 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 0 -1 2</row>
<row>0 2 8 13 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 0 -1 2 4</row>
<row>0 2 8 13 5 -1</row>
</mapping>
</section>
</section>
<section title="Liese">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>686/675</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 -3</row>
<row>0 3 12 11</row>
</mapping>
<section title="Liesel">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 -4 -3 4</row>
<row>0 3 12 11 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 -4 -3 4 0</row>
<row>0 3 12 11 -1 7</row>
</mapping>
</section>
</section>
<section title="Elisa">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>77/75</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 -4 -3 -5</row>
<row>0 3 12 11 16</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 -4 -3 -5 0</row>
<row>0 3 12 11 16 7</row>
</mapping>
</section>
</section>
<section title="Lisa">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
<ratio>343/330</ratio>
</commas>
<mapping>
<row>1 0 -4 -3 -6</row>
<row>0 3 12 11 18</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
<ratio>91/88</ratio>
<ratio>147/143</ratio>
</commas>
<mapping>
<row>1 0 -4 -3 -6 0</row>
<row>0 3 12 11 18 7</row>
</mapping>
</section>
</section>
</section>
<section title="Superpine">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>1119744/1071875</ratio>
</commas>
<mapping legend="1">
<row>1 2 4 1</row>
<row>0 -3 -12 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>176/175</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>1 2 4 1 5</row>
<row>0 -3 -12 13 -11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 2 4 1 5 3</row>
<row>0 -3 -12 13 -11 5</row>
</mapping>
</section>
</section>
<section title="Lithium">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>3 0 -12 -20</row>
<row>0 1 4 6</row>
</mapping>
</section>
<section title="Squares">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -8 -3</row>
<row>0 4 16 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 -3</row>
<row>0 4 16 9 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 -3 5</row>
<row>0 4 16 9 10 -2</row>
</mapping>
</section>
<section title="Squad">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>91/90</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 -3 -6</row>
<row>0 4 16 9 10 15</row>
</mapping>
</section>
<section title="Agora">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 -3 -15</row>
<row>0 4 16 9 10 29</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>121/119</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 -3 -15 -3</row>
<row>0 4 16 9 10 29 11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>77/76</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>121/119</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 -3 -15 -3 -8</row>
<row>0 4 16 9 10 29 11 19</row>
</mapping>
</section>
</section>
</section>
<section title="Cuboctahedra">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -1 -8 -3 17</row>
<row>0 4 16 9 -21</row>
</mapping>
</section>
</section>
<section title="Jerome">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>17280/16807</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 2</row>
<row>0 5 20 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>1 1 0 2 3</row>
<row>0 5 20 7 4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 0 2 3 3</row>
<row>0 5 20 7 4 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>189/187</ratio>
</commas>
<mapping>
<row>1 1 0 2 3 3 2</row>
<row>0 5 20 7 4 6 18</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>135/133</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 0 2 3 3 2 1</row>
<row>0 5 20 7 4 6 18 28</row>
</mapping>
</section>
</section>
<section title="Meantritone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -8 -7</row>
<row>0 5 20 19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>2541/2500</ratio>
</commas>
<mapping>
<row>1 -1 -8 -7 -11</row>
<row>0 5 20 19 28</row>
</mapping>
</section>
</section>
<section title="Injera">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="1">
<row>2 0 -8 -7</row>
<row>0 1 4 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 -12</row>
<row>0 1 4 4 6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 -12 -21</row>
<row>0 1 4 4 6 9</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>85/84</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 -12 -21 5</row>
<row>0 1 4 4 6 9 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
<ratio>57/56</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>85/84</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 -12 -21 5 -1</row>
<row>0 1 4 4 6 9 1 3</row>
</mapping>
</section>
</section>
<section title="Enjera">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>40/39</ratio>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 -12 -2</row>
<row>0 1 4 4 6 3</row>
</mapping>
</section>
</section>
<section title="Injerous">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 10</row>
<row>0 1 4 4 -1</row>
</mapping>
</section>
<section title="Lahoh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>56/55</ratio>
<ratio>81/77</ratio>
</commas>
<mapping>
<row>2 0 -8 -7 7</row>
<row>0 1 4 4 0</row>
</mapping>
</section>
<section title="Teff">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>81/80</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>2 1 -4 -3 8</row>
<row>0 2 8 8 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 1 -4 -3 8 2</row>
<row>0 2 8 8 -1 5</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>85/84</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 1 -4 -3 8 2 6</row>
<row>0 2 8 8 -1 5 2</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>57/56</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
<ratio>85/84</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 1 -4 -3 8 2 6 2</row>
<row>0 2 8 8 -1 5 2 6</row>
</mapping>
</section>
</section>
</section>
<section title="Pombe">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>300125/294912</ratio>
</commas>
<mapping legend="1">
<row>2 1 -4 11</row>
<row>0 2 8 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 1 -4 11 8</row>
<row>0 2 8 -5 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>2 1 -4 11 8 2</row>
<row>0 2 8 -5 -1 5</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>2 1 -4 11 8 2 6</row>
<row>0 2 8 -5 -1 5 2</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>133/132</ratio>
<ratio>144/143</ratio>
<ratio>171/170</ratio>
<ratio>210/209</ratio>
</commas>
<mapping>
<row>2 1 -4 11 8 2 6 2</row>
<row>0 2 8 -5 -1 5 2 6</row>
</mapping>
</section>
</section>
<section title="Orphic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>5898240/5764801</ratio>
</commas>
<mapping legend="1">
<row>2 1 -4 4</row>
<row>0 4 16 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>73728/73205</ratio>
</commas>
<mapping>
<row>2 1 -4 4 8</row>
<row>0 4 16 3 -2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>2 1 -4 4 8 2</row>
<row>0 4 16 3 -2 10</row>
</mapping>
</section>
</section>
<section title="Cloudtone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>16807/16384</ratio>
</commas>
<mapping legend="1">
<row>5 0 -20 14</row>
<row>0 1 4 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>385/384</ratio>
<ratio>2401/2376</ratio>
</commas>
<mapping>
<row>5 0 -20 14 41</row>
<row>0 1 4 0 -3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>2401/2376</ratio>
</commas>
<mapping>
<row>5 0 -20 14 41 -21</row>
<row>0 1 4 0 -3 5</row>
</mapping>
</section>
</section>
<section title="Subgroup extensions">
<section title="St&#xFC;tzel (2.3.5.19)">
<subgroup>2.3.5.19</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>96/95</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 9</row>
<row>0 1 4 -3</row>
</mapping>
</section>
<section title="Hypnotone">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 -6</row>
<row>0 1 4 6</row>
</mapping>
<section title="2.3.5.11.13 subgroup">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>65/64</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 -6 10</row>
<row>0 1 4 6 -4</row>
</mapping>
</section>
</section>
<section title="Dequarter">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>55/54</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 5</row>
<row>0 1 4 -1</row>
</mapping>
<section title="Dreamtone">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>55/54</ratio>
<ratio>975/968</ratio>
</commas>
<mapping>
<row>1 0 -4 5 21</row>
<row>0 1 4 -1 -11</row>
</mapping>
</section>
</section>
</section>
<section title="References"/>
</section>
<section title="Minortonic family">
<section title="Minortone">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>-16 35 -17</monzo>
</commas>
<mapping legend="1">
<row>1 -1 -3</row>
<row>0 17 35</row>
</mapping>
</section>
<section title="Mitonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>2100875/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -3 6</row>
<row>0 17 35 -21</row>
</mapping>
<section title="Mineral">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4375/4374</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 10</row>
<row>0 17 35 -21 -43</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>3584/3575</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 10 11</row>
<row>0 17 35 -21 -43 -48</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>1156/1155</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 10 11 5</row>
<row>0 17 35 -21 -43 -48 -6</row>
</mapping>
</section>
</section>
<section title="Ore">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 3</row>
<row>0 17 35 -21 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
<ratio>3267/3250</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 3 11</row>
<row>0 17 35 -21 3 -48</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>561/560</ratio>
<ratio>715/714</ratio>
<ratio>1452/1445</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 3 11 5</row>
<row>0 17 35 -21 3 -48 -6</row>
</mapping>
</section>
</section>
<section title="Goldmine">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 3 4</row>
<row>0 17 35 -21 3 -2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -1 -3 6 3 4 5</row>
<row>0 17 35 -21 3 -2 -6</row>
</mapping>
</section>
</section>
</section>
<section title="Seminar">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4374</ratio>
<ratio>2100875/2097152</ratio>
</commas>
<mapping>
<row>2 -2 -6 12 13</row>
<row>0 17 35 -21 -20</row>
</mapping>
</section>
</section>
<section title="Domain">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250047/250000</ratio>
<ratio>645700815/645657712</ratio>
</commas>
<mapping legend="1">
<row>3 -3 -9 -8</row>
<row>0 17 35 36</row>
</mapping>
<section title="Hemidomain">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>250047/250000</ratio>
<ratio>14348907/14348180</ratio>
</commas>
<mapping>
<row>6 11 17 20 24</row>
<row>0 -17 -35 -36 -37</row>
</mapping>
</section>
</section>
</section>
<section title="Mint family">
<section title="Mint">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 2</row>
<row>0 1 0 2</row>
<row>0 0 1 -1</row>
</mapping>
</section>
<section title="Nickel">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 2 -2</row>
<row>0 1 0 2 2</row>
<row>0 0 1 -1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 0 2 -2 -1</row>
<row>0 1 0 2 2 3</row>
<row>0 0 1 -1 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Mint temperaments">
<section title="Penta">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>28/25</ratio>
<ratio>36/35</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 2</row>
<row>0 3 2 4</row>
</mapping>
</section>
<section title="Progression">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>392/375</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 2</row>
<row>0 5 3 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 1 2 2 3</row>
<row>0 5 3 7 4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 1 2 2 3 3</row>
<row>0 5 3 7 4 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>51/50</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 1 2 2 3 3 4</row>
<row>0 5 3 7 4 6 1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>51/50</ratio>
<ratio>56/55</ratio>
<ratio>57/55</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 1 2 2 3 3 4 4</row>
<row>0 5 3 7 4 6 1 2</row>
</mapping>
</section>
</section>
<section title="Subklei">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping legend="1">
<row>1 -3 -3 -1</row>
<row>0 6 7 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>77/75</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 -3 -3 -1 -8</row>
<row>0 6 7 5 15</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>26/25</ratio>
<ratio>36/35</ratio>
<ratio>66/65</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 3 4 4 7 7</row>
<row>0 6 7 5 15 14</row>
</mapping>
</section>
</section>
<section title="Subkla">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping>
<row>1 -3 -3 -1 5</row>
<row>0 6 7 5 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>1 -3 -3 -1 5 6</row>
<row>0 6 7 5 -2 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Naian">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>9604/9375</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -2 -4</row>
<row>0 9 7 11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>2541/2500</ratio>
</commas>
<mapping>
<row>1 -4 -2 -4 1</row>
<row>0 9 7 11 4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>507/500</ratio>
</commas>
<mapping>
<row>1 -4 -2 -4 1 0</row>
<row>0 9 7 11 4 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>51/50</ratio>
<ratio>56/55</ratio>
<ratio>66/65</ratio>
<ratio>170/169</ratio>
</commas>
<mapping>
<row>1 -4 -2 -4 1 0 1</row>
<row>0 9 7 11 4 6 5</row>
</mapping>
</section>
</section>
<section title="Slurpee">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>51200/50421</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -7 -11 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>121/120</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -7 -11 -3 -9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>66/65</ratio>
<ratio>143/140</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -7 -11 -3 -9 -5</row>
</mapping>
</section>
</section>
<section title="Shallowtone">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>295245/262144</ratio>
</commas>
<mapping legend="1">
<row>1 0 18 -16</row>
<row>0 1 -10 12</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>72171/65536</ratio>
</commas>
<mapping>
<row>1 0 18 -16 16</row>
<row>0 1 -10 12 -8</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
<ratio>16731/16384</ratio>
</commas>
<mapping>
<row>1 0 18 -16 16 -1</row>
<row>0 1 -10 12 -8 3</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Mirkwai clan">
<section title="Canopus">
<subgroup>3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="2">
<row>1 -2 -1</row>
<row>0 5 4</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Mirkat">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>3 2 1 2</row>
<row>0 6 13 14</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>3 2 1 2 9</row>
<row>0 6 13 14 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>3 2 1 2 9 1</row>
<row>0 6 13 14 3 22</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>442/441</ratio>
<ratio>540/539</ratio>
<ratio>561/560</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>3 2 1 2 9 1 4</row>
<row>0 6 13 14 3 22 18</row>
</mapping>
</section>
</section>
<section title="Eris">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping legend="1">
<row>1 -19 8 -5</row>
<row>0 29 -8 11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>1 -19 8 -5 -37</row>
<row>0 29 -8 11 57</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 -19 8 -5 -37 47</row>
<row>0 29 -8 11 57 -61</row>
</mapping>
</section>
</section>
<section title="Subsemifourth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>26873856/26796875</ratio>
</commas>
<mapping legend="1">
<row>1 -8 -4 -8</row>
<row>0 47 31 53</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>234375/234256</ratio>
</commas>
<mapping>
<row>1 -8 -4 -8 -10</row>
<row>0 47 31 53 66</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>847/845</ratio>
<ratio>1375/1372</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>1 -8 -4 -8 -10 -12</row>
<row>0 0 47 31 53 66 77</row>
</mapping>
</section>
</section>
<section title="Septendesemi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>1959552/1953125</ratio>
</commas>
<mapping legend="1">
<row>1 -2 -1 -2</row>
<row>0 41 38 55</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>43923/43750</ratio>
</commas>
<mapping>
<row>1 -2 -1 -2 -1</row>
<row>0 41 38 55 51</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 -2 -1 -2 -1 3</row>
<row>0 41 38 55 51 8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>561/560</ratio>
<ratio>715/714</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 -2 -1 -2 -1 3 4</row>
<row>0 41 38 55 51 8 1</row>
</mapping>
</section>
</section>
<section title="Gaster">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>14348907/14336000</ratio>
</commas>
<mapping legend="1">
<row>1 -8 -34 -32</row>
<row>0 19 72 69</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>14348907/14336000</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8</row>
<row>0 19 72 69 -9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1375/1372</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8 -19</row>
<row>0 19 72 69 -9 45</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
<ratio>729/728</ratio>
<ratio>936/935</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8 -19 -6</row>
<row>0 19 72 69 -9 45 20</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>324/323</ratio>
<ratio>400/399</ratio>
<ratio>495/494</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
<ratio>1445/1444</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8 -19 -6 -24</row>
<row>0 19 72 69 -9 45 20 56</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>324/323</ratio>
<ratio>400/399</ratio>
<ratio>460/459</ratio>
<ratio>495/494</ratio>
<ratio>529/528</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8 -19 -6 -24 2</row>
<row>0 19 72 69 -9 45 20 56 5</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>290/289</ratio>
<ratio>324/323</ratio>
<ratio>400/399</ratio>
<ratio>460/459</ratio>
<ratio>495/494</ratio>
<ratio>529/528</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8 -19 -6 -24 2 21</row>
<row>0 19 72 69 -9 45 20 56 5 -32</row>
</mapping>
</section>
<section title="31-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29.31</subgroup>
<commas>
<ratio>290/289</ratio>
<ratio>324/323</ratio>
<ratio>400/399</ratio>
<ratio>435/434</ratio>
<ratio>460/459</ratio>
<ratio>495/494</ratio>
<ratio>528/527</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -8 -34 -32 8 -19 -6 -24 2 21 10</row>
<row>0 19 72 69 -9 45 20 56 5 -32 -10</row>
</mapping>
</section>
</section>
<section title="Hemiseptisix">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>95703125/95551488</ratio>
</commas>
<mapping legend="1">
<row>1 -19 -7 -17</row>
<row>0 53 24 51</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>2734375/2725888</ratio>
</commas>
<mapping>
<row>1 -19 -7 -17 -28</row>
<row>0 53 24 51 81</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -19 -7 -17 -28 -13</row>
<row>0 53 24 51 81 43</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>375/374</ratio>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>715/714</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -19 -7 -17 -28 -13 -13</row>
<row>0 53 24 51 81 43 44</row>
</mapping>
</section>
</section>
<section title="Browser">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>1 -29 -37 -47</row>
<row>0 35 45 57</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping>
<row>1 -29 -37 -47 -28</row>
<row>0 35 45 57 36</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>847/845</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -29 -37 -47 -28 -33</row>
<row>0 35 45 57 36 42</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>561/560</ratio>
<ratio>715/714</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -29 -37 -47 -28 -33 -23</row>
<row>0 35 45 57 36 42 31</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>324/323</ratio>
<ratio>351/350</ratio>
<ratio>456/455</ratio>
<ratio>495/494</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -29 -37 -47 -28 -33 -23 -91</row>
<row>0 35 45 57 36 42 31 109</row>
</mapping>
</section>
</section>
<section title="Grazer">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>1071875/1062882</ratio>
</commas>
<mapping legend="1">
<row>1 -3 -4 -5</row>
<row>0 37 51 63</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>218750/216513</ratio>
</commas>
<mapping>
<row>1 -3 -4 -5 -1</row>
<row>0 37 51 63 36</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 -3 -4 -5 -1 -2</row>
<row>0 37 51 63 36 46</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>595/594</ratio>
<ratio>2000/1989</ratio>
</commas>
<mapping>
<row>1 -3 -4 -5 -1 -2 0</row>
<row>0 37 51 63 36 46 33</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>400/399</ratio>
<ratio>540/539</ratio>
<ratio>595/594</ratio>
<ratio>665/663</ratio>
</commas>
<mapping>
<row>1 -3 -4 -5 -1 -2 0 4</row>
<row>0 37 51 63 36 46 33 2</row>
</mapping>
</section>
</section>
</section>
<section title="Mirkwai family">
<section title="Mirkwai">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
</commas>
<mapping>
<row>1 0 0 0</row>
<row>0 1 3 3</row>
<row>0 0 -5 -4</row>
</mapping>
</section>
<section title="Indra">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 0 0 2</row>
<row>0 1 3 3 0</row>
<row>0 0 -5 -4 3</row>
</mapping>
<mappingToLattice>
<row>0 2 1 2 3</row>
<row>0 -1 2 1 -3</row>
</mappingToLattice>
<section title="Shibi">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 -3</row>
<row>0 1 3 3 0 3</row>
<row>0 0 -5 -4 4</row>
</mapping>
</section>
<section title="Yajna">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 -4</row>
<row>0 1 3 3 0 11</row>
<row>0 0 -5 -4 3 -20</row>
</mapping>
</section>
<section title="Vibhu">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 1</row>
<row>0 1 3 3 0 6</row>
<row>0 0 -5 -4 3 -14</row>
</mapping>
</section>
<section title="Vish">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 2</row>
<row>0 1 3 3 0 -2</row>
<row>0 0 -5 -4 3 10</row>
</mapping>
</section>
</section>
</section>
<section title="Misty family">
<section title="Misty">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>67108864/66430125</ratio>
</commas>
<mapping legend="1">
<row>3 0 26</row>
<row>0 1 -4</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal misty">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>3 0 26 56</row>
<row>0 1 -4 -10</row>
</mapping>
<section title="2.3.5.7.17-subgroup">
<subgroup>2.3.5.7.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>1701/1700</ratio>
<ratio>2025/2023</ratio>
</commas>
<mapping>
<row>3 0 26 56 -2</row>
<row>0 1 -4 -10 3</row>
</mapping>
</section>
<section title="2.3.5.7.17.19 subgroup">
<subgroup>2.3.5.7.17.19</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>324/323</ratio>
<ratio>400/399</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>3 0 26 56 -2 8</row>
<row>0 1 -4 -10 3 1</row>
</mapping>
</section>
</section>
<section title="Murky">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>896/891</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>3 0 26 56 77</row>
<row>0 1 -4 -10 -14</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>3 0 26 56 77 92</row>
<row>0 1 -4 -10 -14 -17</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>3 0 26 56 77 92 -2</row>
<row>0 1 -4 -10 -14 -17 3</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>210/209</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>3 0 26 56 77 92 -2 8</row>
<row>0 1 -4 -10 -14 -17 3 1</row>
</mapping>
</section>
</section>
</section>
<section title="Hazy">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>1375/1372</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>3 0 26 56 96</row>
<row>0 1 -4 -10 -18</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>847/845</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>3 0 26 56 96 111</row>
<row>0 1 -4 -10 -18 -21</row>
</mapping>
</section>
</section>
<section title="Smoky">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>2200/2187</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>3 0 26 56 -61</row>
<row>0 1 -4 -10 15</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>3 0 26 56 -61 -46</row>
<row>0 1 -4 -10 15 12</row>
</mapping>
</section>
</section>
<section title="Ashy">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>3 0 26 56 -80</row>
<row>0 1 -4 -10 19</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>3 0 26 56 -80 -65</row>
<row>0 1 -4 -10 19 16</row>
</mapping>
</section>
</section>
<section title="Semimist">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>5120/5103</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping>
<row>6 0 52 112 173</row>
<row>0 1 -4 -10 -16</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>847/845</ratio>
<ratio>1716/1715</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>6 0 52 112 173 203</row>
<row>0 1 -4 -10 -16 -19</row>
</mapping>
</section>
</section>
<section title="Hemimist">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>3136/3125</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>3 0 26 56 8</row>
<row>0 2 -8 -20 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>676/675</ratio>
<ratio>847/845</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>3 0 26 56 8 23</row>
<row>0 2 -8 -20 1 -5</row>
</mapping>
</section>
</section>
</section>
<section title="Fog">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>156250/151263</ratio>
</commas>
<mapping legend="1">
<row>3 0 26 37</row>
<row>0 1 -4 -6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>2420/2401</ratio>
</commas>
<mapping>
<row>3 0 26 37 58</row>
<row>0 1 -4 -6 -10</row>
</mapping>
</section>
</section>
</section>
<section title="Octagar family">
<section title="Octagar">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4</row>
<row>0 1 0 -2</row>
<row>0 0 2 3</row>
</mapping>
<mappingToLattice>
<row>0 -1 -2 -1</row>
<row>0 -1 0 2</row>
</mappingToLattice>
</section>
<section title="Nakika">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4 4</row>
<row>0 1 0 -2 -2</row>
<row>0 0 2 3 4</row>
</mapping>
<mappingToLattice>
<row>0 1 2 1 2</row>
<row>0 -1 0 2 2</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 0 1 4 4 2</row>
<row>0 1 0 -2 -2 -1</row>
<row>0 0 2 3 4 5</row>
</mapping>
</section>
</section>
<section title="Octasand">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4 -5</row>
<row>0 1 0 -2 7</row>
<row>0 0 2 3 -4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 1 4 -5 0</row>
<row>0 1 0 -2 7 4</row>
<row>0 0 2 3 -4 -4</row>
</mapping>
</section>
</section>
</section>
<section title="Octagar temperaments">
<section title="Pluto">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>1 -2 -11 -10</row>
<row>0 7 26 25</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -2 -11 -10 5</row>
<row>0 7 26 25 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 -2 -11 -10 5 16</row>
<row>0 7 26 25 -3 -24</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 -2 -11 -10 5 16 21</row>
<row>0 7 26 25 -3 -24 -33</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>190/189</ratio>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>361/360</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -2 -11 -10 5 16 21 -6</row>
<row>0 7 26 25 -3 -24 -33 20</row>
</mapping>
</section>
</section>
<section title="Orcus">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 -2 -11 -10 5 -5</row>
<row>0 7 26 25 -3 17</row>
</mapping>
</section>
</section>
<section title="Plutino">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 -2 -11 -10 -16</row>
<row>0 7 26 25 38</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 5 15 15 22 12</row>
<row>0 7 26 25 38 17</row>
</mapping>
</section>
</section>
</section>
<section title="Slithy">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>420175/419904</ratio>
</commas>
<mapping legend="1">
<row>1 -16 -31 -12</row>
<row>0 19 36 16</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>2200/2187</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>1 -16 -31 -12 -53</row>
<row>0 19 36 16 61</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>1 -16 -31 -12 -53 0</row>
<row>0 19 36 16 61 4</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>540/539</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -16 -31 -12 -53 0 -57</row>
<row>0 19 36 16 61 4 66</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>190/189</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>361/360</ratio>
<ratio>375/374</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 -16 -31 -12 -53 0 -57 -30</row>
<row>0 19 36 16 61 4 66 37</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>190/189</ratio>
<ratio>300/299</ratio>
<ratio>323/322</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>361/360</ratio>
<ratio>484/483</ratio>
</commas>
<mapping>
<row>1 -16 -31 -12 -53 0 -57 -30 -76</row>
<row>0 19 36 16 61 4 66 37 87</row>
</mapping>
</section>
</section>
<section title="Tridecatonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>8748/8575</ratio>
</commas>
<mapping legend="1">
<row>13 0 -11 16</row>
<row>0 1 2 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>1944/1925</ratio>
<ratio>2560/2541</ratio>
</commas>
<mapping>
<row>13 0 -11 16 45</row>
<row>0 1 2 1 0</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>275/273</ratio>
<ratio>1040/1029</ratio>
</commas>
<mapping>
<row>13 0 -11 16 45 7</row>
<row>0 1 2 1 0 2</row>
</mapping>
</section>
</section>
<section title="Slendi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>84035/82944</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -17 -28 -8</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
<ratio>46656/46585</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -17 -28 -8 -22</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
<ratio>343/338</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -17 -28 -8 -22 -12</row>
</mapping>
</section>
</section>
<section title="Dhaivatic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>2100875/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -3 6</row>
<row>0 21 20 -12</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping>
<row>1 -4 -3 6 0</row>
<row>0 21 20 -12 13</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -4 -3 6 0 -8</row>
<row>0 21 20 -12 13 44</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Orgonia">
<section title="Orgonismic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>65536/65219</ratio>
</commas>
<mapping>
<row>1 0 0 2 4</row>
<row>0 1 0 0 0</row>
<row>0 0 1 0 0</row>
<row>0 0 0 3 -2</row>
</mapping>
</section>
<section title="Subgroup temperaments">
<section title="Orgone">
<subgroup>2.7.11</subgroup>
<commas>
<ratio>65536/65219</ratio>
</commas>
<mapping legend="2">
<row>1 2 4</row>
<row>0 3 -2</row>
</mapping>
<section title="Oregon">
<subgroup>2.9.15.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
</commas>
<mapping legend="2">
<row>1 1 1 5 2</row>
<row>0 3 4 -3 2</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Orwellismic family">
<section title="Orwellismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 2</row>
<row>0 1 0 1</row>
<row>0 0 3 -1</row>
</mapping>
<mappingToLattice>
<row>0 0 -3 1</row>
<row>0 1 0 1</row>
</mappingToLattice>
</section>
<section title="Guanyin">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 2 -2</row>
<row>0 1 0 1 1</row>
<row>0 0 3 -1 5</row>
</mapping>
<mappingToLattice>
<row>0 0 -3 1 -5</row>
<row>0 1 0 1 1</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 0 0 2 -2 3</row>
<row>0 1 0 1 1 -2</row>
<row>0 0 3 -1 5 5</row>
</mapping>
</section>
<section title="Avalokita">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 0 2 -2 6</row>
<row>0 1 0 1 1 1</row>
<row>0 0 3 -1 5 -5</row>
</mapping>
</section>
</section>
<section title="Orwellian">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 2 5</row>
<row>0 1 0 1 0</row>
<row>0 0 3 -1 -2</row>
</mapping>
</section>
</section>
<section title="Orwellismic temperaments">
<section title="Sentinel">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>3645/3584</ratio>
</commas>
<mapping legend="1">
<row>1 -1 12 -3</row>
<row>0 4 -15 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -1 12 -3 -3</row>
<row>0 4 -15 9 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -1 12 -3 -3 5</row>
<row>0 4 -15 9 10 -2</row>
</mapping>
</section>
</section>
<section title="Secant">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>177147/175000</ratio>
</commas>
<mapping legend="1">
<row>2 1 0 5</row>
<row>0 7 15 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>1344/1331</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping>
<row>2 1 0 5 6</row>
<row>0 7 15 2 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 1 0 5 6 4</row>
<row>0 7 15 2 3 11</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>221/220</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 1 0 5 6 4 6</row>
<row>0 7 15 2 3 11 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>153/152</ratio>
<ratio>170/169</ratio>
<ratio>210/209</ratio>
<ratio>221/220</ratio>
<ratio>400/399</ratio>
</commas>
<mapping>
<row>2 1 0 5 6 4 6 2</row>
<row>0 7 15 2 3 11 7 21</row>
</mapping>
</section>
</section>
<section title="Diesic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>5103/5000</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -13 -21 -6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>441/440</ratio>
<ratio>891/875</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -13 -21 -6 -17</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>121/120</ratio>
<ratio>343/338</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -13 -21 -6 -17 -9</row>
</mapping>
</section>
</section>
<section title="Infraorwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>28672/28125</ratio>
</commas>
<mapping legend="1">
<row>1 -2 3 -1</row>
<row>0 16 -3 17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>1 -2 3 -1 1</row>
<row>0 16 -3 17 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 -2 3 -1 1 -1</row>
<row>0 16 -3 17 11 21</row>
</mapping>
</section>
</section>
<section title="Pentaorwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>179200/177147</ratio>
</commas>
<mapping legend="1">
<row>5 0 -36 22</row>
<row>0 1 6 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>1728/1715</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>5 0 -36 22 57</row>
<row>0 1 6 -1 -5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping>
<row>5 0 -36 22 57 82</row>
<row>0 1 6 -1 -5 -8</row>
</mapping>
</section>
</section>
<section title="Triskaidekic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>1875/1792</ratio>
</commas>
<mapping legend="1">
<row>13 0 30 16</row>
<row>0 1 0 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>125/121</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>13 0 30 16 45</row>
<row>0 1 0 1 0</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>125/121</ratio>
<ratio>1200/1183</ratio>
</commas>
<mapping>
<row>13 0 30 16 45 48</row>
<row>0 1 0 1 0 0</row>
</mapping>
</section>
</section>
<section title="Phillips">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>6561/6272</ratio>
</commas>
<mapping legend="1">
<row>2 0 33 -7</row>
<row>0 1 -9 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
<ratio>729/704</ratio>
</commas>
<mapping>
<row>2 0 33 -7 -12</row>
<row>0 1 -9 4 6</row>
</mapping>
</section>
</section>
</section>
<section title="Mavila family">
<section title="Mavila">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>135/128</ratio>
</commas>
<mapping legend="1">
<row>1 0 7</row>
<row>0 1 -3</row>
</mapping>
<section title="Overview to extensions">
<section title="7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="2.3.5.11 subgroup">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 7 5</row>
<row>0 1 -3 -1</row>
</mapping>
</section>
</section>
<section title="Armodue">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>135/128</ratio>
</commas>
<mapping legend="1">
<row>1 0 7 -5</row>
<row>0 1 -3 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 7 -5 5</row>
<row>0 1 -3 5 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>33/32</ratio>
<ratio>36/35</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 7 -5 5 -1</row>
<row>0 1 -3 5 -1 3</row>
</mapping>
<section title="Armodog">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>27/26</ratio>
<ratio>33/32</ratio>
<ratio>36/35</ratio>
<ratio>39/38</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 7 -5 5 -1 -2</row>
<row>0 1 -3 5 -1 3 4</row>
</mapping>
</section>
</section>
</section>
<section title="Mavling">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>135/128</ratio>
</commas>
<mapping legend="1">
<row>1 0 7 20</row>
<row>0 1 -3 -11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 0 7 20 5</row>
<row>0 1 -3 -11 -1</row>
</mapping>
</section>
</section>
<section title="Pelogic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>135/128</ratio>
</commas>
<mapping legend="1">
<row>1 0 7 9</row>
<row>0 1 -3 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
</commas>
<mapping>
<row>1 0 7 9 5</row>
<row>0 1 -3 -4 -1</row>
</mapping>
</section>
</section>
<section title="Hornbostel">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>135/128</ratio>
<ratio>729/700</ratio>
</commas>
<mapping legend="1">
<row>1 0 7 -16</row>
<row>0 1 -3 12</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
<ratio>729/700</ratio>
</commas>
<mapping>
<row>1 0 7 -16 5</row>
<row>0 1 -3 12 -1</row>
</mapping>
</section>
</section>
<section title="Bipelog">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>135/128</ratio>
</commas>
<mapping legend="1">
<row>2 0 14 15</row>
<row>0 1 -3 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
<ratio>50/49</ratio>
</commas>
<mapping>
<row>2 0 14 15 10</row>
<row>0 1 -3 -3 -1</row>
</mapping>
</section>
</section>
<section title="Mohavila">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>135/128</ratio>
<ratio>1323/1250</ratio>
</commas>
<mapping legend="1">
<row>1 1 4 7</row>
<row>0 2 -6 -15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
<ratio>1323/1250</ratio>
</commas>
<mapping>
<row>1 1 4 7 4</row>
<row>0 2 -6 -15 -2</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Quintile family">
<section title="Quintile">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>847288609443/838860800000</ratio>
</commas>
<mapping legend="1">
<row>5 0 -28</row>
<row>0 1 5</row>
</mapping>
</section>
<section title="Pentacloud">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>16807/16384</ratio>
</commas>
<mapping legend="1">
<row>5 0 -28 14</row>
<row>0 1 5 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>3087/3025</ratio>
</commas>
<mapping>
<row>5 0 -28 14 49</row>
<row>0 1 5 0 -4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>245/243</ratio>
<ratio>3087/3025</ratio>
</commas>
<mapping>
<row>5 0 -28 14 49 -29</row>
<row>0 1 5 0 -4 6</row>
</mapping>
</section>
</section>
<section title="Hemiquintile">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>19683/19600</ratio>
<ratio>589824/588245</ratio>
</commas>
<mapping legend="1">
<row>5 0 -28 18</row>
<row>0 2 10 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>8019/8000</ratio>
<ratio>180224/180075</ratio>
</commas>
<mapping>
<row>5 0 -28 18 -54</row>
<row>0 2 10 -1 18</row>
</mapping>
<section title="Hemiquintilis">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>124215/123904</ratio>
</commas>
<mapping>
<row>5 0 -28 18 -54 34</row>
<row>0 2 10 -1 18 13</row>
</mapping>
</section>
<section title="Hemiquint">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1575/1573</ratio>
<ratio>4096/4095</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>5 0 -28 18 -54 34</row>
<row>0 2 10 -1 18 -13</row>
</mapping>
</section>
</section>
</section>
<section title="Decile">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>235298/234375</ratio>
<ratio>321489/320000</ratio>
</commas>
<mapping legend="1">
<row>10 0 -56 -67</row>
<row>0 1 5 6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>8019/8000</ratio>
<ratio>234375/234256</ratio>
</commas>
<mapping>
<row>10 0 -56 -67 -108</row>
<row>0 1 5 6 9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>10 0 -56 -67 -108 37</row>
<row>0 1 5 6 9 0</row>
</mapping>
</section>
</section>
<section title="Notes"/>
</section>
<section title="Porcupine family">
<section title="Porcupine">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>250/243</ratio>
</commas>
<mapping legend="1">
<row>1 2 3</row>
<row>0 -3 -5</row>
</mapping>
<section title="Overview to extensions">
<section title="7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="2.3.5.11 subgroup (porkypine)">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 2 3 4</row>
<row>0 -3 -5 -4</row>
</mapping>
<section title="Undecimation">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
<ratio>512/507</ratio>
</commas>
<mapping>
<row>1 -1 -2 0 5</row>
<row>0 6 10 8 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Septimal porcupine">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>250/243</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 2</row>
<row>0 -3 -5 6</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 2 3 2 4</row>
<row>0 -3 -5 6 -4</row>
</mapping>
<section title="Porcupinefowl">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 2 3 2 4 4</row>
<row>0 -3 -5 6 -4 -2</row>
</mapping>
</section>
<section title="Porcupinefish">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 2 3 2 4 6</row>
<row>0 -3 -5 6 -4 -17</row>
</mapping>
</section>
<section title="Pourcup">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 2 3 2 4 1</row>
<row>0 -3 -5 6 -4 20</row>
</mapping>
</section>
<section title="Porkpie">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>65/63</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 2 3 2 4 3</row>
<row>0 -3 -5 6 -4 5</row>
</mapping>
</section>
</section>
</section>
<section title="Opossum">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 4</row>
<row>0 -3 -5 -9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>55/54</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 2 3 4 4</row>
<row>0 -3 -5 -9 -4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>40/39</ratio>
<ratio>55/54</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 2 3 4 4 4</row>
<row>0 -3 -5 -9 -4 -2</row>
</mapping>
</section>
</section>
<section title="Porky">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>250/243</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 5</row>
<row>0 -3 -5 -16</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 2 3 5 4</row>
<row>0 -3 -5 -16 -4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 2 3 5 4 3</row>
<row>0 -3 -5 -16 -4 5</row>
</mapping>
</section>
</section>
<section title="Coendou">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250/243</ratio>
<ratio>525/512</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 1</row>
<row>0 -3 -5 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
<ratio>525/512</ratio>
</commas>
<mapping>
<row>1 2 3 1 4</row>
<row>0 -3 -5 13 -4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>65/64</ratio>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
</commas>
<mapping>
<row>1 2 3 1 4 3</row>
<row>0 -3 -5 13 -4 5</row>
</mapping>
</section>
</section>
<section title="Hystrix">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>160/147</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -3 -5 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>22/21</ratio>
<ratio>36/35</ratio>
<ratio>80/77</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -3 -5 -1 -4</row>
</mapping>
</section>
</section>
<section title="Hedgehog">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>2 1 1 2</row>
<row>0 3 5 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 1 1 2 4</row>
<row>0 3 5 5 4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>65/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>2 1 1 2 4 3</row>
<row>0 3 5 5 4 6</row>
</mapping>
</section>
<section title="Urchin">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>2 1 1 2 4 6</row>
<row>0 3 5 5 4 2</row>
</mapping>
</section>
</section>
<section title="Hedgepig">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 1 1 2 12</row>
<row>0 3 5 5 -7</row>
</mapping>
</section>
</section>
<section title="Nautilus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>250/243</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -6 -10 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -6 -10 -3 -8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 5</row>
<row>0 -6 -10 -3 -8 -19</row>
</mapping>
</section>
<section title="Belauensis">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>66/65</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -6 -10 -3 -8 -4</row>
</mapping>
</section>
</section>
</section>
<section title="Ammonite">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250/243</ratio>
<ratio>686/675</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -7 -9</row>
<row>0 9 15 19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 -4 -7 -9 -4</row>
<row>0 9 15 19 12</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 -4 -7 -9 -4 -5</row>
<row>0 9 15 19 12 14</row>
</mapping>
</section>
</section>
<section title="Ceratitid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250/243</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -9 -15 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -9 -15 -4 -12</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>65/63</ratio>
<ratio>100/99</ratio>
<ratio>352/343</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -9 -15 -4 -12 -7</row>
</mapping>
</section>
</section>
</section>
<section title="Porcupine rank-3 family">
<section title="Rank-3 porcupine">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250/243</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 0</row>
<row>0 -3 -5 0</row>
<row>0 0 0 1</row>
</mapping>
</section>
<section title="Sonic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>100/99</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 0 4</row>
<row>0 -3 -5 0 -4</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Tikal">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>250/243</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 0 0</row>
<row>0 -3 -5 0 5</row>
<row>0 0 0 1 1</row>
</mapping>
</section>
</section>
<section title="Porwell family">
<section title="Porwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4</row>
<row>0 1 1 -1</row>
<row>0 0 -2 3</row>
</mapping>
</section>
<section title="Zeus"/>
<section title="Jupiter">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4 -5</row>
<row>0 1 1 -1 6</row>
<row>0 0 -2 3 -8</row>
</mapping>
</section>
<section title="Hera">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 4 9</row>
<row>0 1 1 -1 -3</row>
<row>0 0 -2 3 -6</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>2080/2079</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 1 4 9 7</row>
<row>0 1 1 -1 -3 -2</row>
<row>0 0 -2 3 -6 -1</row>
</mapping>
</section>
</section>
<section title="Semiporwell">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 11 14</row>
<row>0 1 1 -1 -2</row>
<row>0 0 2 -3 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>2 0 0 11 14 15</row>
<row>0 1 1 -1 -2 -1</row>
<row>0 0 2 -3 -1 -6</row>
</mapping>
</section>
</section>
</section>
<section title="Porwell temperaments">
<section title="Hendecatonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>11 0 43 -4</row>
<row>0 1 -1 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>11 0 43 -4 38</row>
<row>0 1 -1 2 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>4459/4455</ratio>
</commas>
<mapping>
<row>11 0 43 -4 38 93</row>
<row>0 1 -1 2 0 -3</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>176/175</ratio>
<ratio>273/272</ratio>
<ratio>2025/2023</ratio>
</commas>
<mapping>
<row>11 0 43 -4 38 93 45</row>
<row>0 1 -1 2 0 -3 0</row>
</mapping>
</section>
</section>
<section title="Cohendecatonic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>11 0 43 -4 73</row>
<row>0 1 -1 2 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>11 0 43 -4 73 128</row>
<row>0 1 -1 2 -2 -5</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>11 0 43 -4 73 128 45</row>
<row>0 1 -1 2 -2 -5 0</row>
</mapping>
</section>
</section>
<section title="Icosidillic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3388/3375</ratio>
<ratio>6144/6125</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping>
<row>22 0 86 -8 111</row>
<row>0 1 -1 2 -1</row>
</mapping>
</section>
</section>
<section title="Nessafof">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping legend="1">
<row>3 2 5 10</row>
<row>0 7 5 -4</row>
</mapping>
<section title="Nessa">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>1344/1331</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>3 2 5 10 10</row>
<row>0 7 5 -4 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
</commas>
<mapping>
<row>3 2 5 10 10 6</row>
<row>0 7 5 -4 1 13</row>
</mapping>
</section>
</section>
<section title="Fof">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping>
<row>3 2 5 10 8</row>
<row>0 7 5 -4 6</row>
</mapping>
</section>
</section>
<section title="Grendel">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>16875/16807</ratio>
</commas>
<mapping legend="1">
<row>1 -14 3 -6</row>
<row>0 23 -1 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>1 -14 3 -6 -25</row>
<row>0 23 -1 13 42</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 -14 3 -6 -25 22</row>
<row>0 23 -1 13 42 -27</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>625/624</ratio>
<ratio>715/714</ratio>
<ratio>1275/1274</ratio>
</commas>
<mapping>
<row>1 -14 3 -6 -25 22 19</row>
<row>0 23 -1 13 42 -27 -22</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>375/374</ratio>
<ratio>400/399</ratio>
<ratio>456/455</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -14 3 -6 -25 22 19 30</row>
<row>0 23 -1 13 42 -27 -22 -38</row>
</mapping>
</section>
</section>
<section title="Twothirdtonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping legend="1">
<row>1 -10 5 -7</row>
<row>0 13 -3 11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 -10 5 -7 -1</row>
<row>0 13 -3 11 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 -10 5 -7 -1 -7</row>
<row>0 13 -3 11 5 12</row>
</mapping>
</section>
</section>
<section title="Semaja">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3125/3087</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping legend="1">
<row>1 -2 1 3</row>
<row>0 19 7 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 -2 1 3 1</row>
<row>0 19 7 -1 13</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 -2 1 3 1 2</row>
<row>0 19 7 -1 13 9</row>
</mapping>
</section>
</section>
<section title="Aufo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>177147/175616</ratio>
</commas>
<mapping legend="1">
<row>1 -3 12 -14</row>
<row>0 9 -19 33</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>177147/175616</ratio>
</commas>
<mapping>
<row>1 -3 12 -14 6</row>
<row>0 9 -19 33 -5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>58806/57967</ratio>
</commas>
<mapping>
<row>1 -3 12 -14 6 20</row>
<row>0 9 -19 33 -5 -32</row>
</mapping>
</section>
</section>
<section title="Aufic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>5632/5625</ratio>
<ratio>72171/71680</ratio>
</commas>
<mapping>
<row>1 -3 12 -14 33</row>
<row>0 9 -19 33 -58</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>847/845</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 -3 12 -14 33 20</row>
<row>0 9 -19 33 -58 -32</row>
</mapping>
</section>
</section>
</section>
<section title="Absurdity">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>177147/175000</ratio>
</commas>
<mapping legend="1">
<row>7 0 -17 64</row>
<row>0 1 3 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>6144/6125</ratio>
<ratio>72171/71680</ratio>
</commas>
<mapping>
<row>7 0 -17 64 124</row>
<row>0 1 3 -4 -9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>1188/1183</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>7 0 -17 64 124 37</row>
<row>0 1 3 -4 -9 -1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>561/560</ratio>
<ratio>1188/1183</ratio>
<ratio>1632/1625</ratio>
</commas>
<mapping>
<row>7 0 -17 64 124 37 -49</row>
<row>0 1 3 -4 -9 -1 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>324/323</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
</commas>
<mapping>
<row>7 0 -17 64 124 37 -49 63</row>
<row>0 1 3 -4 -9 -1 7 -3</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>276/275</ratio>
<ratio>324/323</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
</commas>
<mapping>
<row>7 0 -17 64 124 37 -49 63 76</row>
<row>0 1 3 -4 -9 -1 7 -3 -4</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>261/260</ratio>
<ratio>276/275</ratio>
<ratio>324/323</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
</commas>
<mapping>
<row>7 0 -17 64 124 37 -49 63 76 34</row>
<row>0 1 3 -4 -9 -1 7 -3 -4 0</row>
</mapping>
</section>
</section>
<section title="Polypyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>179200/177147</ratio>
</commas>
<mapping legend="1">
<row>1 0 -31 52</row>
<row>0 1 21 -31</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>2200/2187</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping>
<row>1 0 -31 52 59</row>
<row>0 1 21 -31 -35</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>1 0 -31 52 59 64</row>
<row>0 1 21 -31 -35 -38</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping>
<row>1 0 -31 52 59 64 39</row>
<row>0 1 21 -31 -35 -38 -22</row>
</mapping>
</section>
</section>
<section title="Whoops">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>244140625/243045684</ratio>
</commas>
<mapping legend="1">
<row>1 -16 -11 14</row>
<row>0 33 25 -21</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping>
<row>1 -16 -11 14 -4</row>
<row>0 33 25 -21 14</row>
</mapping>
</section>
</section>
<section title="Dodifo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>2500000/2470629</ratio>
</commas>
<mapping legend="1">
<row>1 -23 -4 0</row>
<row>0 35 9 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>2560/2541</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>1 -23 -4 0 14</row>
<row>0 35 9 4 -15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>625/624</ratio>
<ratio>640/637</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 12 5 4 -1 4</row>
<row>0 -35 -9 -4 15 -1</row>
</mapping>
</section>
</section>
<section title="Icositritonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>9920232/9765625</ratio>
</commas>
<mapping legend="1">
<row>23 0 17 101</row>
<row>0 1 1 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>6144/6125</ratio>
<ratio>35937/35840</ratio>
</commas>
<mapping>
<row>23 0 17 101 116</row>
<row>0 1 1 -1 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>23 0 17 101 116 158</row>
<row>0 1 1 -1 -1 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>561/560</ratio>
<ratio>847/845</ratio>
<ratio>1089/1088</ratio>
</commas>
<mapping>
<row>23 0 17 101 116 158 94</row>
<row>0 1 1 -1 -1 -2 0</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>513/512</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>23 0 17 101 116 158 94 207</row>
<row>0 1 1 -1 -1 -2 0 -3</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>276/275</ratio>
<ratio>351/350</ratio>
<ratio>391/390</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>23 0 17 101 116 158 94 207 104</row>
<row>0 1 1 -1 -1 -2 0 -3 0</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Quartonic family">
<section title="Quartonic">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>390625000/387420489</ratio>
</commas>
<mapping legend="1">
<row>1 2 3</row>
<row>0 -11 -18</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal quartonic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -11 -18 -5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>1 2 3 3 5</row>
<row>0 -11 -18 -5 -41</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 2 3 3 5 4</row>
<row>0 -11 -18 -5 -41 -8</row>
</mapping>
</section>
</section>
<section title="Quarto">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -11 -18 -5 -14</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -11 -18 -5 -14 -8</row>
</mapping>
</section>
</section>
<section title="Quartz">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>385/384</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping>
<row>1 2 3 3 3</row>
<row>0 -11 -18 -5 12</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>169/168</ratio>
<ratio>275/273</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 2 3 3 3 4</row>
<row>0 -11 -18 -5 12 -8</row>
</mapping>
</section>
</section>
<section title="Biquartonic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>2420/2401</ratio>
<ratio>2560/2541</ratio>
</commas>
<mapping>
<row>2 4 6 6 7</row>
<row>0 -11 -18 -5 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>2 4 6 6 7 8</row>
<row>0 -11 -18 -5 -1 -8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>544/539</ratio>
</commas>
<mapping>
<row>2 4 6 6 7 8 9</row>
<row>0 -11 -18 -5 -1 -8 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>544/539</ratio>
<ratio>400/399</ratio>
</commas>
<mapping>
<row>2 4 6 6 7 8 9 10</row>
<row>0 -11 -18 -5 -1 -8 -11 -20</row>
</mapping>
</section>
</section>
<section title="Yarm">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1331/1323</ratio>
<ratio>1728/1715</ratio>
<ratio>4000/3969</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -33 -54 -15 -43</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -33 -54 -15 -43 -24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>561/560</ratio>
<ratio>640/637</ratio>
<ratio>850/847</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4 4</row>
<row>0 -33 -54 -15 -43 -24 7</row>
</mapping>
</section>
</section>
</section>
<section title="Yarman I">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>244140625/243045684</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 4</row>
<row>0 -33 -54 -95</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 2 3 4 4</row>
<row>0 -33 -54 -95 -43</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>1001/1000</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 2 3 4 4 4</row>
<row>0 -33 -54 -95 -43 -24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>595/594</ratio>
<ratio>1001/1000</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 2 3 4 4 4 4</row>
<row>0 -33 -54 -95 -43 -24 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>595/594</ratio>
<ratio>969/968</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 2 3 4 4 4 4 5</row>
<row>0 -33 -54 -95 -43 -24 7 -60</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>460/459</ratio>
<ratio>507/506</ratio>
<ratio>529/528</ratio>
<ratio>760/759</ratio>
</commas>
<mapping>
<row>1 2 3 4 4 4 4 5 5</row>
<row>0 -33 -54 -95 -43 -24 7 -60 -38</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>406/405</ratio>
<ratio>460/459</ratio>
<ratio>494/493</ratio>
<ratio>507/506</ratio>
<ratio>529/528</ratio>
</commas>
<mapping>
<row>1 2 3 4 4 4 4 5 5 6</row>
<row>0 -33 -54 -95 -43 -24 7 -60 -38 -91</row>
</mapping>
</section>
</section>
<section title="Yarman II">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5359375/5308416</ratio>
<ratio>390625000/387420489</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 2</row>
<row>0 -33 -54 64</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>4000/3993</ratio>
<ratio>78121827/77948684</ratio>
</commas>
<mapping>
<row>1 2 3 2 4</row>
<row>0 -33 -54 64 -43</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1575/1573</ratio>
<ratio>85683/85184</ratio>
</commas>
<mapping>
<row>1 2 3 2 4 4</row>
<row>0 -33 -54 64 -43 -24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1575/1573</ratio>
<ratio>4928/4913</ratio>
</commas>
<mapping>
<row>1 2 3 2 4 4 4</row>
<row>0 -33 -54 64 -43 -24 7</row>
</mapping>
</section>
</section>
<section title="Tertiseptisix">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>390625000/387420489</ratio>
</commas>
<mapping legend="1">
<row>1 13 21 15</row>
<row>0 -44 -72 -47</row>
</mapping>
</section>
<section title="Triquart">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>117649/116640</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping legend="1">
<row>3 6 9 10</row>
<row>0 -11 -18 -14</row>
</mapping>
</section>
<section title="Quartiquart">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>390625/388962</ratio>
<ratio>4802000/4782969</ratio>
</commas>
<mapping legend="1">
<row>4 8 12 15</row>
<row>0 -11 -18 -25</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>6250/6237</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>4 8 12 15 17</row>
<row>0 -11 -18 -25 -21</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>1001/1000</ratio>
<ratio>1375/1372</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>4 8 12 15 17 16</row>
<row>0 -11 -18 -25 -21 -8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>561/560</ratio>
<ratio>1001/1000</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>4 8 12 15 17 16 18</row>
<row>0 -11 -18 -25 -21 -8 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>361/360</ratio>
<ratio>561/560</ratio>
<ratio>1001/1000</ratio>
<ratio>1331/1330</ratio>
</commas>
<mapping>
<row>4 8 12 15 17 16 18 20</row>
<row>0 -11 -18 -25 -21 -8 -11 20</row>
</mapping>
</section>
</section>
<section title="Quintiquart">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>390625000/387420489</ratio>
</commas>
<mapping legend="1">
<row>5 10 15 18</row>
<row>0 -11 -18 -21</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>390625000/387420489</ratio>
</commas>
<mapping>
<row>5 10 15 18 19</row>
<row>0 -11 -18 -21 -9</row>
</mapping>
</section>
</section>
</section>
<section title="Quince clan">
<section title="Mercy">
<subgroup>2.5.7</subgroup>
<commas>
<ratio>823543/819200</ratio>
</commas>
<mapping legend="2">
<row>1 3 3</row>
<row>0 -7 -2</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Countermiracle">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>50421/50000</ratio>
</commas>
<mapping legend="1">
<row>1 -21 -4 1</row>
<row>0 25 7 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3388/3375</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39</row>
<row>0 25 7 2 47</row>
</mapping>
<section title="Countermiraculous">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>1001/1000</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39 29</row>
<row>0 25 7 2 47 -28</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
<ratio>352/351</ratio>
<ratio>1001/1000</ratio>
<ratio>1225/1224</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39 29 33</row>
<row>0 25 7 2 47 -28 -32</row>
</mapping>
</section>
</section>
<section title="Counterbenediction">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>3146/3125</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39 29 57</row>
<row>0 25 7 2 47 -59</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>561/560</ratio>
<ratio>1632/1625</ratio>
<ratio>3146/3125</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39 29 57 61</row>
<row>0 25 7 2 47 -59 -63</row>
</mapping>
</section>
</section>
<section title="Countermanna">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>3388/3375</ratio>
<ratio>6144/6125</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39 -102</row>
<row>0 25 7 2 47 117</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>1632/1625</ratio>
<ratio>3388/3375</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -39 -102 -98</row>
<row>0 25 7 2 47 117 113</row>
</mapping>
</section>
</section>
</section>
<section title="Counterrevelation">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>50421/50000</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -11</row>
<row>0 25 7 2 16</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>13750/13689</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -11 29</row>
<row>0 25 7 2 16 -28</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>10647/10625</ratio>
</commas>
<mapping>
<row>1 -21 -4 1 -11 29 33</row>
<row>0 25 7 2 16 -28 -32</row>
</mapping>
</section>
</section>
</section>
<section title="Subgroup extensions">
<section title="Mercy (2.5.7.13)">
<subgroup>2.5.7.13</subgroup>
<commas>
<ratio>343/338</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>1 3 3 4</row>
<row>0 -7 -2 -3</row>
</mapping>
<section title="2.5.7.13.17 subgroup">
<subgroup>2.5.7.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>224/221</ratio>
<ratio>343/338</ratio>
</commas>
<mapping>
<row>1 3 3 4 4</row>
<row>0 -7 -2 -3 1</row>
</mapping>
</section>
<section title="2.5.7.13.17.19 subgroup">
<subgroup>2.5.7.13.17.19</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>224/221</ratio>
<ratio>343/338</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>1 3 3 4 4 3</row>
<row>0 -7 -2 -3 1 13</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Ragismic family">
<section title="Ragismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1</row>
<row>0 1 0 7</row>
<row>0 0 1 -4</row>
</mapping>
<mappingToLattice>
<row>0 -1 -1 -3</row>
<row>0 -1 -2 1</row>
</mappingToLattice>
</section>
<section title="Beyla">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1 6</row>
<row>0 1 0 7 -6</row>
<row>0 0 1 -4 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 1 6 2</row>
<row>0 1 0 7 -6 4</row>
<row>0 0 1 -4 3 -2</row>
</mapping>
</section>
</section>
<section title="Ulmo">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1 -3</row>
<row>0 1 0 7 7</row>
<row>0 0 1 -4 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 0 1 -3 2</row>
<row>0 1 0 7 7 4</row>
<row>0 0 1 -4 -2 -2</row>
</mapping>
</section>
</section>
<section title="Thor">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 2 5</row>
<row>0 1 0 7 5</row>
<row>0 0 1 -4 -3</row>
</mapping>
<section title="Thunor">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>2 0 0 2 5 -3</row>
<row>0 1 0 7 5 15</row>
<row>0 0 1 -4 -3 -8</row>
</mapping>
<mappingToLattice>
<row>0 -1 -2 -3 -2 -7</row>
<row>0 -1 -2 1 1 1</row>
</mappingToLattice>
</section>
<section title="Rym">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>2 0 0 2 5 22</row>
<row>0 1 0 7 5 -9</row>
<row>0 0 1 -4 -3 3</row>
</mapping>
</section>
<section title="Donar">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4225/4224</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>2 0 1 -2 2 7</row>
<row>0 1 0 7 5 3</row>
<row>0 0 2 -8 -6 -5</row>
</mapping>
<mappingToLattice>
<row>0 2 2 6 4 1</row>
<row>0 -1 -2 1 1 2</row>
</mappingToLattice>
</section>
</section>
<section title="Heimdall">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>117649/117612</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1 2</row>
<row>0 2 0 14 37</row>
<row>0 0 1 -4 -12</row>
</mapping>
</section>
<section title="Bragi">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>2097152/2096325</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -7 8</row>
<row>0 1 0 7 -3</row>
<row>0 0 3 -12 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>4375/4374</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 0 2 -7 8 -6</row>
<row>0 1 0 7 -3 7</row>
<row>0 0 3 -12 2 -13</row>
</mapping>
</section>
</section>
<section title="Vidar">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>100663296/100656875</ratio>
</commas>
<mapping legend="1">
<row>1 0 -5 21 9</row>
<row>0 1 4 -9 -3</row>
<row>0 0 5 -20 -4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>4225/4224</ratio>
<ratio>4375/4374</ratio>
<ratio>6656/6655</ratio>
</commas>
<mapping>
<row>1 0 -5 21 9 13</row>
<row>0 1 4 -9 -3 -5</row>
<row>0 0 5 -20 -4 -7</row>
</mapping>
</section>
</section>
</section>
<section title="Catalog of rank-4 temperaments">
<section title="Cake (45/44)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -2</row>
<row>0 1 0 0 2</row>
<row>0 0 1 0 1</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Mothwellsmic (99/98)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 1</row>
<row>0 1 0 0 -2</row>
<row>0 0 1 0 0</row>
<row>0 0 0 1 2</row>
</mapping>
</section>
<section title="Ptolemismic (100/99)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 0 0 -2</row>
<row>0 0 1 0 2</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Biyatismic (121/120)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 0 2</row>
<row>0 1 1 0 1</row>
<row>0 0 -2 0 -1</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Valinorsmic (176/175)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -4</row>
<row>0 1 0 0 0</row>
<row>0 0 1 0 2</row>
<row>0 0 0 1 1</row>
</mapping>
<section title="Tridecimal valinorsmic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
</commas>
<mapping>
<row>1 0 0 0 -4 1</row>
<row>0 1 0 0 0 -3</row>
<row>0 0 1 0 2 2</row>
<row>0 0 0 1 1 1</row>
</mapping>
</section>
</section>
<section title="Rastmic (243/242)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 0 2</row>
<row>0 2 0 0 5</row>
<row>0 0 1 0 0</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Frostmic (245/242)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/242</ratio>
</commas>
<mapping legend="1">
<row>1 0 1 0 0</row>
<row>0 1 0 0 0</row>
<row>0 0 2 0 1</row>
<row>0 0 0 1 1</row>
</mapping>
</section>
<section title="Akua (352/351, 847/845)">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>847/845</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 10 0 5</row>
<row>0 1 0 -6 0 -3</row>
<row>0 0 1 1 0 0</row>
<row>0 0 0 0 1 1</row>
</mapping>
</section>
<section title="Keenanismic (385/384)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7</row>
<row>0 1 0 0 1</row>
<row>0 0 1 0 -1</row>
<row>0 0 0 1 -1</row>
</mapping>
<section title="Martwin">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 2</row>
<row>0 1 0 0 1 4</row>
<row>0 0 1 0 -1 -2</row>
<row>0 0 0 1 -1 0</row>
</mapping>
</section>
<section title="Ancient">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 -4</row>
<row>0 1 0 0 1 -1</row>
<row>0 0 1 0 -1 4</row>
<row>0 0 0 1 -1 0</row>
</mapping>
</section>
<section title="Commas 351/350, 385/384">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 1</row>
<row>0 1 0 0 1 -3</row>
<row>0 0 1 0 -1 2</row>
<row>0 0 0 1 -1 1</row>
</mapping>
</section>
<section title="Zaxa">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 12</row>
<row>0 1 0 0 1 -2</row>
<row>0 0 1 0 -1 -1</row>
<row>0 0 0 1 -1 -1</row>
</mapping>
</section>
<section title="Commas 364/363, 385/384">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 12</row>
<row>0 1 0 0 1 3</row>
<row>0 0 1 0 -1 -2</row>
<row>0 0 0 1 -1 -3</row>
</mapping>
</section>
<section title="Commas 385/384, 847/845">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>847/845</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 7</row>
<row>0 1 0 0 1 1</row>
<row>0 0 1 1 -2 -2</row>
<row>0 0 0 2 -2 -1</row>
</mapping>
</section>
</section>
<section title="Werckismic (441/440)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3</row>
<row>0 1 0 0 2</row>
<row>0 0 1 0 -1</row>
<row>0 0 0 1 2</row>
</mapping>
<section title="Commas 364/363, 441/440">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3 -8</row>
<row>0 1 0 0 2 5</row>
<row>0 0 1 0 -1 -2</row>
<row>0 0 0 1 2 3</row>
</mapping>
<mappingToLattice>
<row>0 1 1 -1 -1 0</row>
<row>0 0 1 0 -1 -2</row>
<row>0 0 1 1 1 1</row>
</mappingToLattice>
</section>
<section title="Commas 351/350, 441/440">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3 1</row>
<row>0 1 0 0 2 -3</row>
<row>0 0 1 0 -1 2</row>
<row>0 0 0 1 2 1</row>
</mapping>
</section>
<section title="Commas 196/195, 352/351">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3 2</row>
<row>0 1 0 0 2 -1</row>
<row>0 0 1 0 -1 -1</row>
<row>0 0 0 1 2 2</row>
</mapping>
</section>
<section title="Tannic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>1287/1280</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3 11</row>
<row>0 1 0 0 2 -4</row>
<row>0 0 1 0 -1 2</row>
<row>0 0 0 1 2 -2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>441/440</ratio>
<ratio>561/560</ratio>
</commas>
<mapping>
<row>1 0 0 0 -3 11 7</row>
<row>0 1 0 0 2 -4 -3</row>
<row>0 0 1 0 -1 2 2</row>
<row>0 0 0 1 2 -2 -1</row>
</mapping>
</section>
</section>
<section title="Commas 441/440, 847/845">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3 -3</row>
<row>0 1 0 0 2 2</row>
<row>0 0 1 1 1 1</row>
<row>0 0 0 2 4 5</row>
</mapping>
</section>
</section>
<section title="Swetismic (540/539)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 0 0 3</row>
<row>0 0 1 0 1</row>
<row>0 0 0 1 -2</row>
</mapping>
<section title="Commas 540/539, 729/728">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2 -3</row>
<row>0 1 0 0 3 6</row>
<row>0 0 1 0 1 0</row>
<row>0 0 0 1 -2 -1</row>
</mapping>
</section>
<section title="Commas 540/539, 625/624">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2 -4</row>
<row>0 1 0 0 3 -1</row>
<row>0 0 1 0 1 4</row>
<row>0 0 0 1 -2 0</row>
</mapping>
</section>
<section title="Commas 540/539, 676/675">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2 -1</row>
<row>0 2 0 0 6 3</row>
<row>0 0 1 0 1 1</row>
<row>0 0 0 1 -2 0</row>
</mapping>
</section>
<section title="Commas 540/539, 847/845">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>847/845</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2 2</row>
<row>0 1 0 0 3 3</row>
<row>0 0 1 1 -1 -1</row>
<row>0 0 0 2 -4 -3</row>
</mapping>
</section>
</section>
<section title="Pentacircle (896/891)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7</row>
<row>0 1 0 0 -4</row>
<row>0 0 1 0 0</row>
<row>0 0 0 1 1</row>
</mapping>
<section title="Tridecimal pentacircle (gentle)">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 12</row>
<row>0 1 0 0 -4 -7</row>
<row>0 0 1 0 0 0</row>
<row>0 0 0 1 1 1</row>
</mapping>
</section>
</section>
<section title="Topsy (847/845, 1001/1000)">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>847/845</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -2 3 2</row>
<row>0 1 0 0 0 0</row>
<row>0 0 1 1 1 1</row>
<row>0 0 0 4 -3 -1</row>
</mapping>
</section>
<section title="Lehmerismic (3025/3024)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 0 1 2</row>
<row>0 0 1 0 -1</row>
<row>0 0 0 2 1</row>
</mapping>
<section title="Commas 2080/2079, 3025/3024">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2 -3</row>
<row>0 1 0 1 2 6</row>
<row>0 0 1 0 -1 -2</row>
<row>0 0 0 2 1 3</row>
</mapping>
</section>
</section>
<section title="Trimitone (8019/8000)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>8019/8000</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 6</row>
<row>0 1 0 0 -6</row>
<row>0 0 1 0 3</row>
<row>0 0 0 1 0</row>
</mapping>
<section title="Commas 729/728, 1001/1000">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 6 -3</row>
<row>0 1 0 0 -6 6</row>
<row>0 0 1 0 3 0</row>
<row>0 0 0 1 0 -1</row>
</mapping>
</section>
<section title="Commas 351/350, 2080/2079">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>2080/2079</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 6 1</row>
<row>0 1 0 0 -6 -3</row>
<row>0 0 1 0 3 2</row>
<row>0 0 0 1 0 1</row>
</mapping>
</section>
</section>
<section title="Kalismic (9801/9800)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 0 3</row>
<row>0 1 0 0 -2</row>
<row>0 0 1 0 1</row>
<row>0 0 0 1 1</row>
</mapping>
<section title="Commas 1716/1715, 2080/2079">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 0 3 -7</row>
<row>0 1 0 0 -2 1</row>
<row>0 0 1 0 1 0</row>
<row>0 0 0 1 1 2</row>
</mapping>
</section>
</section>
<section title="Unisquary (12005/11979)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>12005/11979</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -6 -8</row>
<row>0 1 0 2 2</row>
<row>0 0 1 2 3</row>
<row>0 0 0 3 4</row>
</mapping>
<section title="Hensquary">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>1716/1715</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -6 -8 -12</row>
<row>0 1 0 2 2 3</row>
<row>0 0 1 2 3 4</row>
<row>0 0 0 3 4 5</row>
</mapping>
</section>
<section title="Ekasquary">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1575/1573</ratio>
<ratio>4459/4455</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -6 -8 10</row>
<row>0 1 0 2 2 0</row>
<row>0 0 1 2 3 -2</row>
<row>0 0 0 3 4 -5</row>
</mapping>
</section>
</section>
<section title="Semicanousmic (14641/14580)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>14641/14580</ratio>
</commas>
<mapping legend="1">
<row>1 0 -2 0 0</row>
<row>0 1 2 0 2</row>
<row>0 0 4 0 1</row>
<row>0 0 0 1 0</row>
</mapping>
</section>
<section title="Semiporwellismic (16384/16335)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>16384/16335</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7</row>
<row>0 1 1 0 -2</row>
<row>0 0 2 0 -1</row>
<row>0 0 0 1 0</row>
</mapping>
<section title="Tridecimal semiporwellismic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7 2</row>
<row>0 1 1 0 -2 0</row>
<row>0 0 2 0 -1 -3</row>
<row>0 0 0 1 0 1</row>
</mapping>
</section>
</section>
<section title="Symbiotic (19712/19683)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>19712/19683</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -8</row>
<row>0 1 0 0 9</row>
<row>0 0 1 0 0</row>
<row>0 0 0 1 -1</row>
</mapping>
<section title="Tridecimal symbiotic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -8 -13</row>
<row>0 1 0 0 9 12</row>
<row>0 0 1 0 0 -1</row>
<row>0 0 0 1 -1 0</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.19 subgroup">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>1216/1215</ratio>
<ratio>1540/1539</ratio>
<ratio>2080/2079</ratio>
</commas>
<mapping>
<row>1 0 0 0 -8 -13 -6</row>
<row>0 1 0 0 9 12 5</row>
<row>0 0 1 0 0 -1 1</row>
<row>0 0 0 1 -1 0 0</row>
</mapping>
</section>
</section>
<section title="Argyric (41503/41472)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>41503/41472</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1 3</row>
<row>0 1 0 0 2</row>
<row>0 0 1 0 0</row>
<row>0 0 0 2 -3</row>
</mapping>
</section>
<section title="Chrysic (43923/43904)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>43923/43904</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 3 4</row>
<row>0 1 0 3 2</row>
<row>0 0 1 0 0</row>
<row>0 0 0 -4 -3</row>
</mapping>
</section>
<section title="Olympic (131072/130977)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>131072/130977</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 17</row>
<row>0 1 0 0 -5</row>
<row>0 0 1 0 0</row>
<row>0 0 0 1 -2</row>
</mapping>
<section title="Tridecimal olympic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 17 12</row>
<row>0 1 0 0 -5 -2</row>
<row>0 0 1 0 0 -1</row>
<row>0 0 0 1 -2 -1</row>
</mapping>
</section>
</section>
<section title="Seascape (160083/160000)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>160083/160000</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 4</row>
<row>0 2 0 0 -3</row>
<row>0 0 1 0 2</row>
<row>0 0 0 1 -1</row>
</mapping>
</section>
<section title="Fifthchromismic (1610510/1594323)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1610510/1594323</ratio>
</commas>
<mapping legend="1">
<row>1 0 -6 0 1</row>
<row>0 1 3 0 2</row>
<row>0 0 5 0 -1</row>
<row>0 0 0 1 0</row>
</mapping>
<section title="Fifthchroma">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>951665/944784</ratio>
</commas>
<mapping legend="1">
<row>1 0 -6 0 1 6</row>
<row>0 1 3 0 2 -1</row>
<row>0 0 5 0 -1 -1</row>
<row>0 0 0 1 0 0</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>715/714</ratio>
<ratio>155771/155520</ratio>
</commas>
<mapping>
<row>1 0 -6 0 1 6 0</row>
<row>0 1 3 0 2 -1 3</row>
<row>0 0 5 0 -1 -1 3</row>
<row>0 0 0 1 0 0 -1</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>715/714</ratio>
<ratio>1463/1458</ratio>
<ratio>2057/2052</ratio>
</commas>
<mapping>
<row>1 0 -6 0 1 6 0 0</row>
<row>0 1 3 0 2 -1 3 4</row>
<row>0 0 5 0 -1 -1 3 1</row>
<row>0 0 0 1 0 0 -1 -1</row>
</mapping>
</section>
</section>
</section>
<section title="Quartismic (117440512/117406179)">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>117440512/117406179</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1 5</row>
<row>0 1 0 1 -1</row>
<row>0 0 1 0 0</row>
<row>0 0 0 5 1</row>
</mapping>
<section title="Tridecimal quartismic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>6656/6655</ratio>
<ratio>123201/123200</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 1 5 6</row>
<row>0 1 0 1 -1 -3</row>
<row>0 0 1 0 0 1</row>
<row>0 0 0 5 1 3</row>
</mapping>
</section>
</section>
</section>
<section title="Rastmic rank-3 clan">
<section title="Spectacle">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 -3 2</row>
<row>0 2 0 4 5</row>
<row>0 0 1 2 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>351/350</ratio>
</commas>
<mapping>
<row>1 1 0 -3 2 -5</row>
<row>0 2 0 4 5 -2</row>
<row>0 0 1 2 0 4</row>
</mapping>
</section>
</section>
<section title="Mirwomo">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 6 2</row>
<row>0 2 0 -3 5</row>
<row>0 0 1 -1 0</row>
</mapping>
</section>
<section title="Mandos">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 6 2</row>
<row>0 2 0 5 5</row>
<row>0 0 1 -2 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 0 6 2 4</row>
<row>0 2 0 5 5 -1</row>
<row>0 0 1 -2 0 0</row>
</mapping>
</section>
</section>
<section title="Cuckoo">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 -3 2</row>
<row>0 2 0 -4 5</row>
<row>0 0 1 3 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 0 -3 2 -5</row>
<row>0 2 0 -4 5 -10</row>
<row>0 0 1 3 0 5</row>
</mapping>
</section>
</section>
<section title="Parahemif">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>896/891</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 -1 2</row>
<row>0 2 0 13 5</row>
<row>0 0 1 0 0</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 1 0 -1 2 4</row>
<row>0 2 0 13 5 -1</row>
<row>0 0 1 0 0 0</row>
</mapping>
</section>
</section>
<section title="Urania">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>81/80</ratio>
<ratio>121/120</ratio>
</commas>
<mapping legend="1">
<row>1 1 0 0 2</row>
<row>0 2 8 0 5</row>
<row>0 0 0 1 0</row>
</mapping>
<mappingToLattice>
<row>0 2 8 0 5</row>
<row>0 0 0 -1 0</row>
</mappingToLattice>
</section>
<section title="Mirage">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 1 3 3 2 0</row>
<row>0 6 -7 -2 15 0</row>
<row>0 0 0 0 0 1</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>273/272</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 3 3 2 0 0</row>
<row>0 6 -7 -2 15 0 4</row>
<row>0 0 0 0 0 1 1</row>
</mapping>
</section>
</section>
</section>
<section title="Schismatic family">
<section title="Schismic, schismatic, a.k.a. helmholtz">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 0 15</row>
<row>0 1 -8</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Garibaldi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 25</row>
<row>0 1 -8 -14</row>
</mapping>
<section title="Cassandra">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>2200/2187</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33</row>
<row>0 1 -8 -14 23</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28</row>
<row>0 1 -8 -14 23 20</row>
</mapping>
<section title="Cassie">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>120/119</ratio>
<ratio>154/153</ratio>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 -7</row>
<row>0 1 -8 -14 23 20 7</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>120/119</ratio>
<ratio>154/153</ratio>
<ratio>171/170</ratio>
<ratio>190/189</ratio>
<ratio>225/224</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 -7 9</row>
<row>0 1 -8 -14 23 20 7 -3</row>
</mapping>
</section>
</section>
<section title="Cassandric">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 77</row>
<row>0 1 -8 -14 23 20 -46</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>190/189</ratio>
<ratio>209/208</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 77 9</row>
<row>0 1 -8 -14 23 20 -46 -3</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>190/189</ratio>
<ratio>209/208</ratio>
<ratio>225/224</ratio>
<ratio>253/252</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 77 9 60</row>
<row>0 1 -8 -14 23 20 -46 -3 -35</row>
</mapping>
</section>
</section>
<section title="Cassander">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 -72</row>
<row>0 1 -8 -14 23 20 48</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>190/189</ratio>
<ratio>209/208</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 0 15 25 -33 -28 -72 9</row>
<row>0 1 -8 -14 23 20 48 -3</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Andromeda">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 0 15 25 32</row>
<row>0 1 -8 -14 -18</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37</row>
<row>0 1 -8 -14 -18 -21</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>189/187</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37 -7</row>
<row>0 1 -8 -14 -18 -21 7</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>133/132</ratio>
<ratio>189/187</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37 -7 9</row>
<row>0 1 -8 -14 -18 -21 7 -3</row>
</mapping>
</section>
</section>
<section title="Schisicosiennic">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37 58</row>
<row>0 1 -8 -14 -18 -21 -34</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>133/132</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>190/189</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37 58 9</row>
<row>0 1 -8 -14 -18 -21 -34 -3</row>
</mapping>
</section>
</section>
<section title="Schisicosiennoid">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>85/84</ratio>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>119/117</ratio>
<ratio>221/220</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37 12</row>
<row>0 1 -8 -14 -18 -21 -5</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>85/84</ratio>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>119/117</ratio>
<ratio>133/132</ratio>
<ratio>153/152</ratio>
</commas>
<mapping>
<row>1 0 15 25 32 37 12 9</row>
<row>0 1 -8 -14 -18 -21 -5 -3</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Helenus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 0 15 25 51</row>
<row>0 1 -8 -14 -30</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 15 25 51 56</row>
<row>0 1 -8 -14 -30 -33</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
<ratio>442/441</ratio>
</commas>
<mapping>
<row>1 0 15 25 51 56 -7</row>
<row>0 1 -8 -14 -30 -33 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>176/175</ratio>
<ratio>190/189</ratio>
<ratio>209/208</ratio>
<ratio>247/245</ratio>
</commas>
<mapping>
<row>1 0 15 25 51 56 -7 9</row>
<row>0 1 -8 -14 -30 -33 7 -3</row>
</mapping>
</section>
</section>
<section title="Karadeniz">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 1 7 11 2</row>
<row>0 2 -16 -28 5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>1 1 7 11 2 -8</row>
<row>0 2 -16 -28 5 40</row>
</mapping>
</section>
</section>
<section title="Hemigari">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 0 15 25 9</row>
<row>0 2 -16 -28 -7</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 15 25 9 14</row>
<row>0 2 -16 -28 -7 -13</row>
</mapping>
</section>
</section>
<section title="Sanjaab">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1331/1323</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 2 -1 -3 0</row>
<row>0 -3 24 42 25</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>275/273</ratio>
<ratio>847/845</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 2 -1 -3 0 -1</row>
<row>0 -3 24 42 25 34</row>
</mapping>
</section>
</section>
</section>
<section title="Pontiac">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 -59</row>
<row>0 1 -8 39</row>
</mapping>
<section title="Helenoid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>3388/3375</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 0 15 -59 51</row>
<row>0 1 -8 39 -30</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 0 15 -59 51 56</row>
<row>0 1 -8 39 -30 -33</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>561/560</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 0 15 -59 51 56 -91</row>
<row>0 1 -8 39 -30 -33 60</row>
</mapping>
</section>
</section>
<section title="Helena">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>3146/3125</ratio>
</commas>
<mapping>
<row>1 0 15 -59 51 -28</row>
<row>0 1 -8 39 -30 20</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>273/272</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>3146/3125</ratio>
</commas>
<mapping>
<row>1 0 15 -59 51 -28 -91</row>
<row>0 1 -8 39 -30 20 60</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>273/272</ratio>
<ratio>286/285</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>627/625</ratio>
</commas>
<mapping>
<row>1 0 15 -59 51 -28 -91 9</row>
<row>0 1 -8 39 -30 20 60 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Ponta">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4375/4374</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 -59 135</row>
<row>0 1 -8 39 -83</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 0 15 -59 135 56</row>
<row>0 1 -8 39 -83 -33</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>375/374</ratio>
<ratio>540/539</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 0 15 -59 135 56 -91</row>
<row>0 1 -8 39 -83 -33 60</row>
</mapping>
</section>
</section>
<section title="Pontic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4375/4374</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 -59 -136</row>
<row>0 1 -8 39 88</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 0 15 -59 -136 56</row>
<row>0 1 -8 39 88 -33</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
<ratio>2880/2873</ratio>
</commas>
<mapping>
<row>1 0 15 -59 -136 56 -91</row>
<row>0 1 -8 39 88 -33 60</row>
</mapping>
</section>
</section>
<section title="Pontoid">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>4375/4374</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 -59 -136 -215</row>
<row>0 1 -8 39 88 138</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>1156/1155</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 -59 -136 -215 -91</row>
<row>0 1 -8 39 88 138 60</row>
</mapping>
</section>
</section>
</section>
<section title="Bipont">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4374</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>2 0 30 -118 -85</row>
<row>0 1 -8 39 29</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>2 0 30 -118 -85 112</row>
<row>0 1 -8 39 29 -33</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>729/728</ratio>
<ratio>1089/1088</ratio>
<ratio>1225/1224</ratio>
<ratio>2880/2873</ratio>
</commas>
<mapping>
<row>2 0 30 -118 -85 112 -182</row>
<row>0 1 -8 39 29 -33 60</row>
</mapping>
</section>
</section>
<section title="Counterbipont">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>3025/3024</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>2 0 30 -118 -85 -243</row>
<row>0 1 -8 39 29 79</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1089/1088</ratio>
<ratio>1225/1224</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>2 0 30 -118 -85 -243 -182</row>
<row>0 1 -8 39 29 79 60</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1089/1088</ratio>
<ratio>1225/1224</ratio>
<ratio>1540/1539</ratio>
<ratio>4875/4864</ratio>
</commas>
<mapping>
<row>2 0 30 -118 -85 -243 -182 -169</row>
<row>0 1 -8 39 29 79 60 56</row>
</mapping>
</section>
</section>
<section title="Quadrapont">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4225/4224</ratio>
<ratio>4375/4374</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>4 0 60 -236 -170 -131</row>
<row>0 1 -8 39 29 23</row>
</mapping>
</section>
</section>
</section>
<section title="Grackle">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 44</row>
<row>0 1 -8 -26</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 44 70</row>
<row>0 1 -8 -26 -42</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>5445/5408</ratio>
</commas>
<mapping>
<row>1 0 15 44 70 75</row>
<row>0 1 -8 -26 -42 -45</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>256/255</ratio>
<ratio>2904/2873</ratio>
</commas>
<mapping>
<row>1 0 15 44 70 75 -7</row>
<row>0 1 -8 -26 -42 -45 7</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>171/170</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>209/208</ratio>
<ratio>324/323</ratio>
</commas>
<mapping>
<row>1 0 15 44 70 75 -7 9</row>
<row>0 1 -8 -26 -42 -45 7 -3</row>
</mapping>
</section>
</section>
<section title="Grackloid">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>729/728</ratio>
<ratio>1287/1280</ratio>
</commas>
<mapping>
<row>1 0 15 44 70 -47</row>
<row>0 1 -8 -26 -42 32</row>
</mapping>
</section>
</section>
<section title="Grack">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 0 15 44 51</row>
<row>0 1 -8 -26 -30</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>245/242</ratio>
<ratio>832/825</ratio>
</commas>
<mapping>
<row>1 0 15 44 51 75</row>
<row>0 1 -8 -26 -30 -45</row>
</mapping>
</section>
<section title="Catahelenic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 15 44 51 56</row>
<row>0 1 -8 -26 -30 -33</row>
</mapping>
</section>
</section>
</section>
<section title="Quasipyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>390625/387072</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 109</row>
<row>0 1 -8 -67</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>19712/19683</ratio>
<ratio>78125/77616</ratio>
</commas>
<mapping>
<row>1 0 15 109 -117</row>
<row>0 1 -8 -67 76</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>2200/2197</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 0 15 109 -117 -28</row>
<row>0 1 -8 -67 76 20</row>
</mapping>
</section>
</section>
<section title="Schism"/>
<section title="Bischismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>2 0 30 69</row>
<row>0 1 -8 -20</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>2 0 30 69 102</row>
<row>0 1 -8 -20 -30</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>2 0 30 69 102 -75</row>
<row>0 1 -8 -20 -30 26</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>441/440</ratio>
<ratio>561/560</ratio>
<ratio>729/728</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>2 0 30 69 102 -75 5</row>
<row>0 1 -8 -20 -30 26 1</row>
</mapping>
</section>
</section>
<section title="Bischis">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>2 0 30 69 102 131</row>
<row>0 1 -8 -20 -30 -39</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
<ratio>351/350</ratio>
<ratio>441/440</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>2 0 30 69 102 131 5</row>
<row>0 1 -8 -20 -30 -39 1</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Kleischismic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>1500625/1492992</ratio>
</commas>
<mapping legend="1">
<row>2 1 22 -15</row>
<row>0 2 -16 19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>9801/9800</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 1 22 -15 8</row>
<row>0 2 -16 19 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>2 1 22 -15 8 15</row>
<row>0 2 -16 19 -1 -7</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>289/288</ratio>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>561/560</ratio>
</commas>
<mapping>
<row>2 1 22 -15 8 15 6</row>
<row>0 2 -16 19 -1 -7 2</row>
</mapping>
</section>
</section>
<section title="Kleischis">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1573/1568</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 1 22 -15 8 -36</row>
<row>0 2 -16 19 -1 40</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>289/288</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>442/441</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 1 22 -15 8 -36 6</row>
<row>0 2 -16 19 -1 40 2</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Salsa">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 1 7 -1</row>
<row>0 2 -16 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 7 -1 2</row>
<row>0 2 -16 13 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 1 7 -1 2 4</row>
<row>0 2 -16 13 5 -1</row>
</mapping>
</section>
</section>
<section title="Hemischis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 -17</row>
<row>0 2 -16 25</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>5632/5625</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>1 0 15 -17 51</row>
<row>0 2 -16 25 -60</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 15 -17 51 14</row>
<row>0 2 -16 25 -60 -13</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>442/441</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 15 -17 51 14 -49</row>
<row>0 2 -16 25 -60 -13 67</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>442/441</ratio>
<ratio>456/455</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 15 -17 51 14 -49 9</row>
<row>0 2 -16 25 -60 -13 67 -6</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>442/441</ratio>
<ratio>456/455</ratio>
<ratio>561/560</ratio>
<ratio>676/675</ratio>
<ratio>736/735</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 15 -17 51 14 -49 9 -24</row>
<row>0 2 -16 25 -60 -13 67 -6 36</row>
</mapping>
</section>
</section>
<section title="Term">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping legend="1">
<row>3 0 45 94</row>
<row>0 1 -8 -18</row>
</mapping>
<section title="Terminal">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4375/4356</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>3 0 45 94 134</row>
<row>0 1 -8 -18 -26</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>625/624</ratio>
<ratio>13720/13689</ratio>
</commas>
<mapping>
<row>3 0 45 94 134 168</row>
<row>0 1 -8 -18 -26 -33</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>375/374</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>3 0 45 94 134 168 -2</row>
<row>0 1 -8 -18 -26 -33 3</row>
</mapping>
</section>
</section>
<section title="Terminator">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>32805/32768</ratio>
<ratio>137781/137500</ratio>
</commas>
<mapping>
<row>3 0 45 94 -137</row>
<row>0 1 -8 -18 31</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>4096/4095</ratio>
<ratio>31250/31213</ratio>
</commas>
<mapping>
<row>3 0 45 94 -137 -103</row>
<row>0 1 -8 -18 31 24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>936/935</ratio>
<ratio>1156/1155</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>3 0 45 94 -137 -103 -2</row>
<row>0 1 -8 -18 31 24 3</row>
</mapping>
</section>
</section>
<section title="Semiterm">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>32805/32768</ratio>
<ratio>151263/151250</ratio>
</commas>
<mapping>
<row>6 0 90 188 287</row>
<row>0 1 -8 -18 -28</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>32805/32768</ratio>
<ratio>34398/34375</ratio>
</commas>
<mapping>
<row>6 0 90 188 287 355</row>
<row>0 1 -8 -18 -28 -35</row>
</mapping>
</section>
</section>
<section title="Hemiterm">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>32805/32768</ratio>
<ratio>102487/102400</ratio>
</commas>
<mapping>
<row>3 0 45 94 8</row>
<row>0 2 -16 -36 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
<ratio>19773/19712</ratio>
</commas>
<mapping>
<row>3 0 45 94 8 42</row>
<row>0 2 -16 -36 1 -13</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1001/1000</ratio>
<ratio>11271/11264</ratio>
</commas>
<mapping>
<row>3 0 45 94 8 42 -2</row>
<row>0 2 -16 -36 1 -13 6</row>
</mapping>
</section>
</section>
</section>
<section title="Altinex">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>367653125/362797056</ratio>
</commas>
<mapping legend="1">
<row>3 0 45 -32</row>
<row>0 2 -16 17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>14700/14641</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>3 0 45 -32 8</row>
<row>0 2 -16 17 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
<ratio>676/675</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>3 0 45 -32 8 42</row>
<row>0 2 -16 17 1 -13</row>
</mapping>
</section>
</section>
<section title="Squirrel">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 2 -1 1</row>
<row>0 -3 24 13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/242</ratio>
<ratio>686/675</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 2 -1 1 0</row>
<row>0 -3 24 13 25</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>169/168</ratio>
<ratio>245/242</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 2 -1 1 0 3</row>
<row>0 -3 24 13 25 5</row>
</mapping>
</section>
</section>
<section title="Tertiaschis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>1071875/1062882</ratio>
</commas>
<mapping legend="1">
<row>1 2 -1 10</row>
<row>0 -3 24 -52</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>4000/3993</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 2 -1 10 0</row>
<row>0 -3 24 -52 25</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1575/1573</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 2 -1 10 0 12</row>
<row>0 -3 24 -52 25 -60</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>595/594</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 2 -1 10 0 12 -2</row>
<row>0 -3 24 -52 25 -60 44</row>
</mapping>
</section>
</section>
<section title="Countertertiaschis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>244140625/243045684</ratio>
</commas>
<mapping legend="1">
<row>1 2 -1 -12</row>
<row>0 -3 24 107</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 2 -1 -12 0</row>
<row>0 -3 24 107 25</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 2 -1 -12 0 -10</row>
<row>0 -3 24 107 25 99</row>
</mapping>
</section>
</section>
<section title="Quadrant">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>390625/388962</ratio>
</commas>
<mapping legend="1">
<row>4 0 60 119</row>
<row>0 1 -8 -17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>6250/6237</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>4 0 60 119 185</row>
<row>0 1 -8 -17 -27</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>625/624</ratio>
<ratio>1375/1372</ratio>
<ratio>2080/2079</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>4 0 60 119 185 224</row>
<row>0 1 -8 -17 -27 -33</row>
</mapping>
</section>
</section>
<section title="Sesquiquartififths">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 1 7 5</row>
<row>0 4 -32 -15</row>
</mapping>
<section title="Sesquart">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>441/440</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 1 7 5 2</row>
<row>0 4 -32 -15 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2</row>
<row>0 4 -32 -15 10 39</row>
</mapping>
<section title="Heartia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>256/255</ratio>
<ratio>273/272</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 0</row>
<row>0 4 -32 -15 10 39 28</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>171/170</ratio>
<ratio>243/242</ratio>
<ratio>256/255</ratio>
<ratio>273/272</ratio>
<ratio>324/323</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 0 6</row>
<row>0 4 -32 -15 10 39 28 -12</row>
</mapping>
</section>
</section>
<section title="Sesquartia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>3584/3575</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 -6</row>
<row>0 4 -32 -15 10 39 69</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 -6 6</row>
<row>0 4 -32 -15 10 39 69 -12</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>323/322</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
<ratio>595/594</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 -6 6 -6</row>
<row>0 4 -32 -15 10 39 69 -12 72</row>
</mapping>
</section>
</section>
<section title="Hearty">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>1632/1625</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 13</row>
<row>0 4 -32 -15 10 39 -61</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>243/242</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>456/455</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 13 6</row>
<row>0 4 -32 -15 10 39 -61 -12</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>243/242</ratio>
<ratio>276/275</ratio>
<ratio>323/322</ratio>
<ratio>361/360</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>1 1 7 5 2 -2 13 6 13</row>
<row>0 4 -32 -15 10 39 -61 -12 -58</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Bisesqui">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>2 2 14 10 23</row>
<row>0 4 -32 -15 -55</row>
</mapping>
</section>
</section>
<section title="Tsaharuk">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>420175/419904</ratio>
</commas>
<mapping legend="1">
<row>1 1 7 0</row>
<row>0 5 -40 24</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 1 7 0 1</row>
<row>0 5 -40 24 21</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>385/384</ratio>
<ratio>729/728</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 1 7 0 1 3</row>
<row>0 5 -40 24 21 6</row>
</mapping>
</section>
</section>
<section title="Quanharuk">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="1">
<row>1 0 15 12</row>
<row>0 5 -40 -29</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 12 -7</row>
<row>0 5 -40 -29 33</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1375/1372</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 0 15 12 -7 -15</row>
<row>0 5 -40 -29 33 59</row>
</mapping>
</section>
</section>
<section title="Quintilipyth">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>9765625/9680832</ratio>
</commas>
<mapping legend="1">
<row>1 2 -1 -4</row>
<row>0 -5 40 82</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>4375/4356</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 2 -1 -4 -7</row>
<row>0 -5 40 82 126</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1375/1372</ratio>
<ratio>2080/2079</ratio>
<ratio>4375/4356</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>1 2 -1 -4 -7 -9</row>
<row>0 -5 40 82 126 153</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>375/374</ratio>
<ratio>595/594</ratio>
<ratio>833/832</ratio>
<ratio>1375/1372</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>1 2 -1 -4 -7 -9 5</row>
<row>0 -5 40 82 126 153 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>375/374</ratio>
<ratio>400/399</ratio>
<ratio>495/494</ratio>
<ratio>595/594</ratio>
<ratio>1375/1372</ratio>
<ratio>3978/3971</ratio>
</commas>
<mapping>
<row>1 2 -1 -4 -7 -9 5 4</row>
<row>0 -5 40 82 126 153 -11 3</row>
</mapping>
</section>
</section>
<section title="Quintaschis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>49009212/48828125</ratio>
</commas>
<mapping legend="1">
<row>1 2 -1 -5</row>
<row>0 -5 40 94</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>32805/32768</ratio>
<ratio>1953125/1951488</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -8</row>
<row>0 -5 40 94 138</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>32805/32768</ratio>
<ratio>109512/109375</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -8 -11</row>
<row>0 -5 40 94 138 177</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>3757/3750</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -8 -11 5</row>
<row>0 -5 40 94 138 177 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>476/475</ratio>
<ratio>595/594</ratio>
<ratio>3757/3750</ratio>
<ratio>6885/6859</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -8 -11 5 4</row>
<row>0 -5 40 94 138 177 -11 3</row>
</mapping>
</section>
</section>
<section title="Quintahelenic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>5632/5625</ratio>
<ratio>8019/8000</ratio>
<ratio>151263/151250</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9</row>
<row>0 -5 40 94 150</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>847/845</ratio>
<ratio>1716/1715</ratio>
<ratio>5632/5625</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9 -11</row>
<row>0 -5 40 94 150 177</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>561/560</ratio>
<ratio>833/832</ratio>
<ratio>847/845</ratio>
<ratio>1701/1700</ratio>
<ratio>3757/3750</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9 -11 5</row>
<row>0 -5 40 94 150 177 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>476/475</ratio>
<ratio>495/494</ratio>
<ratio>561/560</ratio>
<ratio>833/832</ratio>
<ratio>847/845</ratio>
<ratio>1701/1700</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9 -11 5 4</row>
<row>0 -5 40 94 150 177 -11 3</row>
</mapping>
</section>
</section>
<section title="Quintahelenoid">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
<ratio>4096/4095</ratio>
<ratio>86515/86436</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9 14</row>
<row>0 -5 40 94 150 -124</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>561/560</ratio>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
<ratio>4096/4095</ratio>
<ratio>14161/14157</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9 14 5</row>
<row>0 -5 40 94 150 -124 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>476/475</ratio>
<ratio>561/560</ratio>
<ratio>729/728</ratio>
<ratio>1001/1000</ratio>
<ratio>4096/4095</ratio>
<ratio>6144/6137</ratio>
</commas>
<mapping>
<row>1 2 -1 -5 -9 14 5 4</row>
<row>0 -5 40 94 150 -124 -11 3</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Sextilifourths">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping legend="1">
<row>1 2 -1 -1</row>
<row>0 -6 48 55</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4000/3993</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping>
<row>1 2 -1 -1 0</row>
<row>0 -6 48 55 50</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>1 2 -1 -1 0 1</row>
<row>0 -6 48 55 50 39</row>
</mapping>
</section>
</section>
<section title="Septant">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>516560652/514714375</ratio>
</commas>
<mapping legend="1">
<row>7 0 105 -56</row>
<row>0 1 -8 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>24057/24010</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>7 0 105 -56 -120</row>
<row>0 1 -8 7 13</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>729/728</ratio>
<ratio>1716/1715</ratio>
<ratio>2200/2197</ratio>
<ratio>3025/3024</ratio>
</commas>
<mapping>
<row>7 0 105 -56 -120 37</row>
<row>0 1 -8 7 13 -1</row>
</mapping>
</section>
</section>
<section title="Octant">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>2259436291848/2251875390625</ratio>
</commas>
<mapping legend="1">
<row>8 0 120 -117</row>
<row>0 1 -8 11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>32805/32768</ratio>
<ratio>46656/46585</ratio>
</commas>
<mapping>
<row>8 0 120 -117 15</row>
<row>0 1 -8 11 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>2200/2197</ratio>
<ratio>6656/6655</ratio>
</commas>
<mapping>
<row>8 0 120 -117 15 93</row>
<row>0 1 -8 11 1 -5</row>
</mapping>
</section>
</section>
<section title="Nonant">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>40353607/40310784</ratio>
</commas>
<mapping legend="1">
<row>9 0 135 11</row>
<row>0 1 -8 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>32805/32768</ratio>
<ratio>42875/42592</ratio>
</commas>
<mapping>
<row>9 0 135 11 131</row>
<row>0 1 -8 1 -7</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>4096/4095</ratio>
<ratio>16807/16731</ratio>
</commas>
<mapping>
<row>9 0 135 11 131 -38</row>
<row>0 1 -8 1 -7 5</row>
</mapping>
</section>
</section>
<section title="Septiquarschis">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>829440/823543</ratio>
</commas>
<mapping legend="1">
<row>1 -4 47 6</row>
<row>0 7 56 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>15488/15435</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 -4 47 6 25</row>
<row>0 7 56 -4 -27</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1573/1568</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 -4 47 6 25 -33</row>
<row>0 7 56 -4 -27 46</row>
</mapping>
</section>
</section>
<section title="Tridecafifths">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<monzo>-14 -1 -9 13</monzo>
</commas>
<mapping legend="1">
<row>1 1 7 6</row>
<row>0 13 -104 -71</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>32805/32768</ratio>
<ratio>55296000/55240493</ratio>
</commas>
<mapping>
<row>1 1 7 6 4</row>
<row>0 13 -104 -71 -12</row>
</mapping>
</section>
</section>
<section title="Subgroup extensions">
<section title="Maqamschismic (2.3.5.11)">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>2200/2187</ratio>
<ratio>4125/4096</ratio>
</commas>
<mapping>
<row>1 0 15 -33</row>
<row>0 1 -8 23</row>
</mapping>
<section title="2.3.5.11.13 subgroup">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>352/351</ratio>
<ratio>4125/4096</ratio>
</commas>
<mapping>
<row>1 0 15 -33 -28</row>
<row>0 1 -8 23 20</row>
</mapping>
</section>
</section>
<section title="Tridecaschismic (2.3.5.13)">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>1 0 15 -28</row>
<row>0 1 -8 20</row>
</mapping>
<section title="2.3.5.13.19 subgroup">
<subgroup>2.3.5.13.19</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>361/360</ratio>
<ratio>513/512</ratio>
</commas>
<mapping>
<row>1 0 15 -28 9</row>
<row>0 1 -8 20 -3</row>
</mapping>
</section>
</section>
<section title="Photia (2.3.5.17)">
<subgroup>2.3.5.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>1458/1445</ratio>
</commas>
<mapping legend="2">
<row>1 0 15 -7</row>
<row>0 1 -8 7</row>
</mapping>
<section title="2.3.5.17.19 subgroup">
<subgroup>2.3.5.17.19</subgroup>
<commas>
<ratio>171/170</ratio>
<ratio>256/255</ratio>
<ratio>324/323</ratio>
</commas>
<mapping>
<row>1 0 15 -7 9</row>
<row>0 1 -8 7 -3</row>
</mapping>
</section>
</section>
<section title="Nestoria (2.3.5.19)">
<subgroup>2.3.5.19</subgroup>
<commas>
<ratio>361/360</ratio>
<ratio>513/512</ratio>
</commas>
<mapping legend="2">
<row>1 0 15 9</row>
<row>0 1 -8 -3</row>
</mapping>
</section>
<section title="Taylor (2.3.5.13)">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping legend="2">
<row>1 0 15 14</row>
<row>0 2 -16 -13</row>
</mapping>
<section title="Dakota (2.3.5.13.19)">
<subgroup>2.3.5.13.19</subgroup>
<commas>
<ratio>361/360</ratio>
<ratio>513/512</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 0 15 14 9</row>
<row>0 2 -16 -13 -6</row>
</mapping>
</section>
</section>
<section title="Quintilischis (2.3.5.17)">
<subgroup>2.3.5.17</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>1419857/1417176</ratio>
</commas>
<mapping legend="2">
<row>1 2 -1 5</row>
<row>0 -5 40 -11</row>
</mapping>
<section title="2.3.5.17.19 subgroup">
<subgroup>2.3.5.17.19</subgroup>
<commas>
<ratio>4624/4617</ratio>
<ratio>6144/6137</ratio>
<ratio>6885/6859</ratio>
</commas>
<mapping>
<row>1 2 -1 5 4</row>
<row>0 -5 40 -11 3</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Semicomma family">
<section title="Orson">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>2109375/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 0 3</row>
<row>0 7 -3</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Orwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping legend="1">
<row>1 0 3 1</row>
<row>0 7 -3 8</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 3 1 3</row>
<row>0 7 -3 8 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 3 1 3 8</row>
<row>0 7 -3 8 2 -19</row>
</mapping>
</section>
<section title="Blair">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>65/64</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 0 3 1 3 3</row>
<row>0 7 -3 8 2 3</row>
</mapping>
</section>
<section title="Winston">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 0 3 1 3 1</row>
<row>0 7 -3 8 2 12</row>
</mapping>
</section>
<section title="Doublethink">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 3 1 3 2</row>
<row>0 14 -6 16 4 15</row>
</mapping>
</section>
</section>
<section title="Newspeak">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>441/440</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping>
<row>1 0 3 1 -4</row>
<row>0 7 -3 8 33</row>
</mapping>
</section>
<section title="Borwell">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping>
<row>1 -7 6 -7 -18</row>
<row>0 14 -6 16 35</row>
</mapping>
</section>
</section>
<section title="Sabric">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>2109375/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 0 3 -11</row>
<row>0 7 -3 61</row>
</mapping>
</section>
<section title="Triwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>235298/234375</ratio>
</commas>
<mapping legend="1">
<row>1 -14 9 8</row>
<row>0 21 -9 -7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>456533/455625</ratio>
</commas>
<mapping>
<row>1 -14 9 8 -24</row>
<row>0 21 -9 -7 37</row>
</mapping>
</section>
</section>
<section title="Quadrawell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>2109375/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 -21 12 2</row>
<row>0 28 -12 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 -21 12 2 -28</row>
<row>0 28 -12 1 39</row>
</mapping>
</section>
</section>
<section title="Rainwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16875/16807</ratio>
<ratio>2100875/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 -21 12 -3</row>
<row>0 35 -15 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>1375/1372</ratio>
<ratio>2100875/2097152</ratio>
</commas>
<mapping>
<row>1 -21 12 -3 -43</row>
<row>0 35 -15 9 72</row>
</mapping>
</section>
</section>
<section title="Quinwell">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>420175/419904</ratio>
<ratio>2109375/2097152</ratio>
</commas>
<mapping legend="1">
<row>1 0 3 0</row>
<row>0 35 -15 62</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4375/4356</ratio>
<ratio>2109375/2097152</ratio>
</commas>
<mapping>
<row>1 0 3 0 5</row>
<row>0 35 -15 62 -34</row>
</mapping>
</section>
<section title="Quinbetter">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>24057/24010</ratio>
<ratio>43923/43750</ratio>
</commas>
<mapping>
<row>1 0 3 0 4</row>
<row>0 35 -15 62 -12</row>
</mapping>
</section>
</section>
</section>
<section title="Semaphoresmic family">
<section title="Semaphoresmic a.k.a. semiphore">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 2</row>
<row>0 2 0 1</row>
<row>0 0 1 0</row>
</mapping>
<section title="2.3.5.7.13 subgroup">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 0 2 -1</row>
<row>0 2 0 1 3</row>
<row>0 0 1 0 1</row>
</mapping>
</section>
</section>
<section title="Selenium">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 2 5</row>
<row>0 2 0 1 1</row>
<row>0 0 1 0 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 2 2 5 -1</row>
<row>0 2 0 1 1 3</row>
<row>0 0 1 0 -1 1</row>
</mapping>
</section>
</section>
<section title="Negric">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>225/224</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 3 0</row>
<row>0 -4 3 -2 0</row>
<row>0 0 0 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 2 2 3 0 4</row>
<row>0 -4 3 -2 0 -3</row>
<row>0 0 0 0 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Sengic family">
<section title="Sengic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 1</row>
<row>0 1 0 1</row>
<row>0 0 3 2</row>
</mapping>
<section title="Overview to extensions"/>
<section title="2.3.5.7.13 subgroup">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 2 1 2</row>
<row>0 1 0 1 1</row>
<row>0 0 3 2 1</row>
</mapping>
</section>
</section>
<section title="Demeter">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>686/675</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 1 -3</row>
<row>0 1 0 1 4</row>
<row>0 0 3 2 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>169/168</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 2 1 -3 2</row>
<row>0 1 0 1 4 1</row>
<row>0 0 3 2 1 1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 0 2 1 -3 2 -1</row>
<row>0 1 0 1 4 1 3</row>
<row>0 0 3 2 1 1 3</row>
</mapping>
</section>
</section>
<section title="Krypton">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>540/539</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 1 2</row>
<row>0 1 0 1 1</row>
<row>0 0 3 2 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 2 1 2 2</row>
<row>0 1 0 1 1 1</row>
<row>0 0 3 2 -1 1</row>
</mapping>
</section>
</section>
<section title="Sensigh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -1 -2 3</row>
<row>0 7 9 13 0</row>
<row>0 0 0 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 3 0</row>
<row>0 7 9 13 0 10</row>
<row>0 0 0 0 1 0</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 3 0 4</row>
<row>0 7 9 13 0 10 -1</row>
<row>0 0 0 0 1 0 1</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Sensamagic clan">
<section title="BPS">
<subgroup>3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
</commas>
<mapping legend="2">
<row>1 1 2</row>
<row>0 2 -1</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Bohpier">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0</row>
<row>0 13 19 23</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/243</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>1 0 0 0 2</row>
<row>0 13 19 23 12</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 0 0 0 2 2</row>
<row>0 13 19 23 12 14</row>
</mapping>
</section>
</section>
<section title="Triboh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>1331/1323</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping>
<row>1 0 0 0 0</row>
<row>0 39 57 69 85</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>275/273</ratio>
<ratio>847/845</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 0 0 0 0 0</row>
<row>0 39 57 69 85 91</row>
</mapping>
</section>
</section>
</section>
<section title="Pycnic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>525/512</ratio>
</commas>
<mapping legend="1">
<row>1 0 6 -3</row>
<row>0 3 -7 11</row>
</mapping>
</section>
<section title="Xenia">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping legend="1">
<row>1 -6 -12 -9</row>
<row>0 9 17 14</row>
</mapping>
</section>
<section title="Magus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>28672/28125</ratio>
</commas>
<mapping legend="1">
<row>1 -2 2 -6</row>
<row>0 11 1 27</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -2 2 -6 -6</row>
<row>0 11 1 27 29</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -2 2 -6 -6 5</row>
<row>0 11 1 27 29 -4</row>
</mapping>
</section>
</section>
<section title="Superenneadecal">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>395136/390625</ratio>
</commas>
<mapping legend="1">
<row>19 0 14 -7</row>
<row>0 1 1 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>2560/2541</ratio>
<ratio>3773/3750</ratio>
</commas>
<mapping>
<row>19 0 14 -7 96</row>
<row>0 1 1 2 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>832/825</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>19 0 14 -7 96 10</row>
<row>0 1 1 2 -1 2</row>
</mapping>
</section>
</section>
<section title="Superthird">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>78125/76832</ratio>
</commas>
<mapping legend="1">
<row>1 -5 -5 -10</row>
<row>0 18 20 35</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/243</ratio>
<ratio>78125/76832</ratio>
</commas>
<mapping>
<row>1 -5 -5 -10 2</row>
<row>0 18 20 35 4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>1375/1352</ratio>
</commas>
<mapping>
<row>1 -5 -5 -10 2 -8</row>
<row>0 18 20 35 4 32</row>
</mapping>
</section>
</section>
<section title="Leapweek">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>2097152/2066715</ratio>
</commas>
<mapping legend="1">
<row>1 0 42 -21</row>
<row>0 1 -25 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 0 42 -21 -14</row>
<row>0 1 -25 15 11</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>245/243</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 0 42 -21 -14 -9</row>
<row>0 1 -25 15 11 8</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
<ratio>245/243</ratio>
<ratio>256/255</ratio>
<ratio>273/272</ratio>
</commas>
<mapping>
<row>1 0 42 -21 -14 -9 -34</row>
<row>0 1 -25 15 11 8 24</row>
</mapping>
</section>
<section title="Leapweeker">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>136/135</ratio>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>245/243</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 0 42 -21 -14 -9 39</row>
<row>0 1 -25 15 11 8 -22</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Sensamagic family">
<section title="Sensamagic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0</row>
<row>0 1 1 2</row>
<row>0 0 2 -1</row>
</mapping>
<mappingToLattice>
<row>0 1 1 2</row>
<row>0 0 2 -1</row>
</mappingToLattice>
<section title="Overview to extensions"/>
</section>
<section title="Undecimal sensamagic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 7</row>
<row>0 1 1 2 -2</row>
<row>0 0 2 -1 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 0 0 0 7 12</row>
<row>0 1 1 2 -2 -5</row>
<row>0 0 2 -1 -1 -1</row>
</mapping>
</section>
</section>
<section title="Sensawer">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>441/440</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -3</row>
<row>0 1 1 2 5</row>
<row>0 0 2 -1 -4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 0 0 -3 2</row>
<row>0 1 1 2 5 2</row>
<row>0 0 2 -1 -4 -4</row>
</mapping>
</section>
</section>
<section title="Octarod">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 2</row>
<row>0 1 1 2 0</row>
<row>0 0 2 -1 4</row>
</mapping>
</section>
<section title="Shrusus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 0 -4</row>
<row>0 1 1 2 4</row>
<row>0 0 2 -1 3</row>
</mapping>
<section title="Shrusic">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 0 0 -4 1</row>
<row>0 1 1 2 4 1</row>
<row>0 0 2 -1 3 3</row>
</mapping>
</section>
</section>
<section title="Bisector">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 0 3</row>
<row>0 1 1 2 1</row>
<row>0 0 2 -1 1</row>
</mapping>
</section>
</section>
<section title="Sensipent family">
<section title="Sensipent">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -1</row>
<row>0 7 9</row>
</mapping>
<section title="Overview to extensions"/>
<section title="Sensible">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>8019/8000</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 -1 -1 9</row>
<row>0 7 9 -15</row>
</mapping>
<section title="2.3.5.11.17 subgroup">
<subgroup>2.3.5.11.17</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>1089/1088</ratio>
<ratio>1377/1375</ratio>
</commas>
<mapping>
<row>1 -1 -1 9 10</row>
<row>0 7 9 -15 -16</row>
</mapping>
</section>
<section title="2.3.5.11.17.23 subgroup">
<subgroup>2.3.5.11.17.23</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>576/575</ratio>
<ratio>1089/1088</ratio>
<ratio>1377/1375</ratio>
</commas>
<mapping>
<row>1 -1 -1 9 10 6</row>
<row>0 7 9 -15 -16 -4</row>
</mapping>
</section>
<section title="2.3.5.11.17.23.31 subgroup">
<subgroup>2.3.5.11.17.23.31</subgroup>
<commas>
<ratio>256/255</ratio>
<ratio>576/575</ratio>
<ratio>961/960</ratio>
<ratio>1089/1088</ratio>
<ratio>1377/1375</ratio>
</commas>
<mapping>
<row>1 -1 -1 9 10 6 2</row>
<row>0 7 9 -15 -16 -4 8</row>
</mapping>
</section>
</section>
</section>
<section title="Sensi">
<section title="Septimal sensi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -1 -2</row>
<row>0 7 9 13</row>
</mapping>
<section title="2.3.5.7.13 subgroup (sensation)">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 0</row>
<row>0 7 9 13 10</row>
</mapping>
</section>
</section>
<section title="Sensor">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 9</row>
<row>0 7 9 13 -15</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 9 0</row>
<row>0 7 9 13 -15 10</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 9 0 10</row>
<row>0 7 9 13 -15 10 -16</row>
</mapping>
</section>
</section>
<section title="Sensus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -8</row>
<row>0 7 9 13 31</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -8 0</row>
<row>0 7 9 13 31 10</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -8 0 -7</row>
<row>0 7 9 13 31 10 30</row>
</mapping>
</section>
</section>
<section title="Sensis">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>100/99</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 2</row>
<row>0 7 9 13 4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 2 0</row>
<row>0 7 9 13 4 10</row>
</mapping>
</section>
</section>
<section title="Sensa">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>77/75</ratio>
<ratio>99/98</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -1</row>
<row>0 7 9 13 12</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>143/140</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -1 0</row>
<row>0 7 9 13 12 10</row>
</mapping>
</section>
</section>
<section title="Bisensi">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>2 -2 -2 -4 1</row>
<row>0 7 9 13 8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>2 -2 -2 -4 1 0</row>
<row>0 7 9 13 8 10</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
<ratio>154/153</ratio>
<ratio>169/168</ratio>
</commas>
<mapping>
<row>2 -2 -2 -4 1 0 3</row>
<row>0 7 9 13 8 10 7</row>
</mapping>
</section>
</section>
<section title="Hemisensi">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -3</row>
<row>0 14 18 26 35</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -1 -1 -2 -3 0</row>
<row>0 14 18 26 35 20</row>
</mapping>
</section>
</section>
</section>
<section title="Sensei">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -1 -9</row>
<row>0 7 9 32</row>
</mapping>
</section>
<section title="Warrior">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>1 -1 -1 15</row>
<row>0 7 9 -33</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>1331/1323</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 -1 -1 15 9</row>
<row>0 7 9 -33 -15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>847/845</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 -1 -1 15 9 17</row>
<row>0 7 9 -33 -15 -36</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>256/255</ratio>
<ratio>351/350</ratio>
<ratio>442/441</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>1 -1 -1 15 9 17 10</row>
<row>0 7 9 -33 -15 -36 -16</row>
</mapping>
</section>
</section>
<section title="Bison">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>2 -2 -2 13</row>
<row>0 7 9 -10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>6144/6125</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>2 -2 -2 13 18</row>
<row>0 7 9 -10 -15</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>2 -2 -2 13 18 17</row>
<row>0 7 9 -10 -15 -13</row>
</mapping>
</section>
</section>
<section title="Subpental">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>19683/19600</ratio>
</commas>
<mapping legend="1">
<row>1 -8 -10 -28</row>
<row>0 14 18 45</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>1 -8 -10 -28 24</row>
<row>0 14 18 45 -30</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>1 -8 -10 -28 24 -23</row>
<row>0 14 18 45 -30 39</row>
</mapping>
</section>
</section>
<section title="Heinz">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1029/1024</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>1 -8 -10 6</row>
<row>0 21 27 -7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping>
<row>1 -8 -10 6 3</row>
<row>0 21 27 -7 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -8 -10 6 3 11</row>
<row>0 21 27 -7 1 -16</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>273/272</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -8 -10 6 3 11 5</row>
<row>0 21 27 -7 1 -16 -2</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>171/170</ratio>
<ratio>209/208</ratio>
<ratio>351/350</ratio>
<ratio>385/384</ratio>
<ratio>441/440</ratio>
<ratio>969/968</ratio>
</commas>
<mapping>
<row>1 -8 -10 6 3 11 5 12</row>
<row>0 21 27 -7 1 -16 -2 -17</row>
</mapping>
</section>
</section>
<section title="Trisensory">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>1728/1715</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping legend="1">
<row>3 4 6 8</row>
<row>0 7 9 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>540/539</ratio>
<ratio>78732/78125</ratio>
</commas>
<mapping>
<row>3 4 6 8 8</row>
<row>0 7 9 4 22</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>9295/9261</ratio>
</commas>
<mapping>
<row>3 4 6 8 8 11</row>
<row>0 7 9 4 22 1</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>442/441</ratio>
<ratio>540/539</ratio>
<ratio>715/714</ratio>
</commas>
<mapping>
<row>3 4 6 8 8 11 10</row>
<row>0 7 9 4 22 1 21</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>286/285</ratio>
<ratio>324/323</ratio>
<ratio>351/350</ratio>
<ratio>400/399</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>3 4 6 8 8 11 10 12</row>
<row>0 7 9 4 22 1 21 7</row>
</mapping>
</section>
</section>
<section title="Other subgroup extensions">
<section title="Sensipent (2.3.5.31 subgroup)">
<subgroup>2.3.5.31</subgroup>
<commas>
<ratio>961/960</ratio>
<ratio>2511/2500</ratio>
</commas>
<mapping>
<row>1 -1 -1 2</row>
<row>0 7 9 8</row>
</mapping>
</section>
<section title="Sendai">
<subgroup>2.3.5.23.29.31</subgroup>
<commas>
<ratio>465/464</ratio>
<ratio>576/575</ratio>
<ratio>621/620</ratio>
<ratio>900/899</ratio>
</commas>
<mapping>
<row>1 -1 -1 6 -4 2</row>
<row>0 7 9 -4 24 8</row>
</mapping>
</section>
</section>
</section>
<section title="Septisemi temperaments">
<section title="Fluorine">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>243/224</ratio>
</commas>
<mapping legend="1">
<row>1 0 -7 -5</row>
<row>0 1 6 5</row>
</mapping>
</section>
<section title="Sodium">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>21/20</ratio>
<ratio>54/49</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2</row>
<row>0 2 5 3</row>
</mapping>
</section>
</section>
<section title="Semaphoresmic clan">
<section title="Semaphore">
<subgroup>2.3.7</subgroup>
<commas>
<ratio>49/48</ratio>
</commas>
<mapping legend="2">
<row>1 0 2</row>
<row>0 2 1</row>
</mapping>
<section title="Overview to extensions"/>
<section title="Semaerophore">
<subgroup>2.3.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>729/704</ratio>
</commas>
<mapping>
<row>1 0 2 -6</row>
<row>0 2 1 12</row>
</mapping>
<section title="2.3.7.11.19 subgroup">
<subgroup>2.3.7.11.19</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>77/76</ratio>
<ratio>729/704</ratio>
</commas>
<mapping>
<row>1 0 2 -6 -6</row>
<row>0 2 1 12 13</row>
</mapping>
</section>
</section>
</section>
<section title="Godzilla">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="1">
<row>1 0 -4 2</row>
<row>0 2 8 1</row>
</mapping>
<section title="2.3.5.7.13 subgroup">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>81/80</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 -4 2 -5</row>
<row>0 2 8 1 11</row>
</mapping>
</section>
</section>
<section title="Undecimal godzilla">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 2 -6</row>
<row>0 2 8 1 12</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>78/77</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 2 -6 -5</row>
<row>0 2 8 1 12 11</row>
</mapping>
</section>
</section>
<section title="Semafour">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
</commas>
<mapping>
<row>1 0 -4 2 5</row>
<row>0 2 8 1 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 -4 2 5 -5</row>
<row>0 2 8 1 -2 11</row>
</mapping>
</section>
</section>
<section title="Varan">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>77/75</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 2 -10</row>
<row>0 2 8 1 17</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 2 -10 -5</row>
<row>0 2 8 1 17 11</row>
</mapping>
</section>
</section>
<section title="Baragon">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
</commas>
<mapping>
<row>1 0 -4 2 9</row>
<row>0 2 8 1 -7</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>81/80</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 0 -4 2 9 -5</row>
<row>0 2 8 1 -7 11</row>
</mapping>
</section>
</section>
</section>
<section title="Helayo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>3645/3584</ratio>
</commas>
<mapping legend="1">
<row>1 0 11 2</row>
<row>0 2 -11 1</row>
</mapping>
</section>
<section title="Superpelog">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>135/128</ratio>
</commas>
<mapping legend="1">
<row>1 0 7 2</row>
<row>0 2 -6 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
</commas>
<mapping>
<row>1 0 7 2 5</row>
<row>0 2 -6 1 -2</row>
</mapping>
</section>
</section>
<section title="Baba">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>49/45</ratio>
</commas>
<mapping legend="1">
<row>1 0 4 2</row>
<row>0 2 -2 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>16/15</ratio>
<ratio>22/21</ratio>
<ratio>49/45</ratio>
</commas>
<mapping>
<row>1 0 4 2 1</row>
<row>0 2 -2 1 3</row>
</mapping>
</section>
</section>
<section title="Negri">
<section title="7-limit">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>225/224</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 3</row>
<row>0 -4 3 -2</row>
</mapping>
<section title="2.3.5.7.13 subgroup (negra)">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 2 2 3 4</row>
<row>0 -4 3 -2 -3</row>
</mapping>
</section>
</section>
<section title="Undecimal negri">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
</commas>
<mapping>
<row>1 2 2 3 4</row>
<row>0 -4 3 -2 -5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>49/48</ratio>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
</commas>
<mapping>
<row>1 2 2 3 4 4</row>
<row>0 -4 3 -2 -5 -3</row>
</mapping>
</section>
</section>
<section title="Negril">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 2 2 3 2</row>
<row>0 -4 3 -2 14</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
<ratio>875/858</ratio>
</commas>
<mapping>
<row>1 2 2 3 2 4</row>
<row>0 -4 3 -2 14 -3</row>
</mapping>
</section>
</section>
<section title="Negric">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>49/48</ratio>
<ratio>77/75</ratio>
</commas>
<mapping>
<row>1 2 2 3 3</row>
<row>0 -4 3 -2 4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>33/32</ratio>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 2 2 3 3 4</row>
<row>0 -4 3 -2 4 -3</row>
</mapping>
</section>
</section>
<section title="Negroni">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 2 2 3 5</row>
<row>0 -4 3 -2 -15</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>55/54</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
</commas>
<mapping>
<row>1 2 2 3 5 4</row>
<row>0 -4 3 -2 -15 -3</row>
</mapping>
</section>
</section>
<section title="Wilsec">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>121/120</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 -2 5 1 3</row>
<row>0 8 -6 4 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
</commas>
<mapping>
<row>1 -2 5 1 3 1</row>
<row>0 8 -6 4 1 6</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 -2 5 1 3 1 9</row>
<row>0 8 -6 4 1 6 -11</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>65/64</ratio>
<ratio>77/76</ratio>
<ratio>91/90</ratio>
<ratio>121/120</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 -2 5 1 3 1 9 2</row>
<row>0 8 -6 4 1 6 -11 5</row>
</mapping>
</section>
</section>
</section>
<section title="Nuke">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>3584/3375</ratio>
</commas>
<mapping legend="1">
<row>1 2 2 3</row>
<row>0 -6 5 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>77/75</ratio>
<ratio>512/495</ratio>
</commas>
<mapping>
<row>1 2 2 3 3</row>
<row>0 -6 5 -3 7</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>66/65</ratio>
<ratio>77/75</ratio>
<ratio>448/429</ratio>
</commas>
<mapping>
<row>1 2 2 3 3 4</row>
<row>0 -6 5 -3 7 -4</row>
</mapping>
</section>
</section>
</section>
<section title="Starling family">
<section title="Starling">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1</row>
<row>0 1 0 -2</row>
<row>0 0 1 3</row>
</mapping>
<mappingToLattice>
<row>0 1 0 -2</row>
<row>0 1 1 1</row>
</mappingToLattice>
<section title="Overview to extensions"/>
</section>
<section title="Thrush">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 -5</row>
<row>0 1 0 -2 -2</row>
<row>0 0 1 3 5</row>
</mapping>
<mappingToLattice>
<row>0 1 1 1 3</row>
<row>0 1 0 -2 -2</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -5 0</row>
<row>0 1 0 -2 -2 -5</row>
<row>0 0 1 3 5 5</row>
</mapping>
</section>
<section title="Bluebird">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -5 9</row>
<row>0 1 0 -2 -2 4</row>
<row>0 0 1 3 5 -5</row>
</mapping>
</section>
<section title="Nightingale">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -5 -4</row>
<row>0 1 0 -2 -2 -1</row>
<row>0 0 1 3 5 4</row>
</mapping>
</section>
<section title="Veery">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -5 2</row>
<row>0 1 0 -2 -2 4</row>
<row>0 0 1 3 5 -2</row>
</mapping>
</section>
</section>
<section title="Starnova">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 8</row>
<row>0 1 0 -2 3</row>
<row>0 0 1 3 -4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 0 0 -1 8 0</row>
<row>0 1 0 -2 3 -5</row>
<row>0 0 1 3 -4 5</row>
</mapping>
</section>
</section>
<section title="Thrasher">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>100/99</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 2</row>
<row>0 1 0 -2 -2</row>
<row>0 0 1 3 2</row>
</mapping>
<mappingToLattice>
<row>0 1 0 -2 -2</row>
<row>0 1 1 1 0</row>
</mappingToLattice>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 0 -1 2 2</row>
<row>0 1 0 -2 -2 4</row>
<row>0 0 1 3 2 -2</row>
</mapping>
</section>
<section title="Mockingbird">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>40/39</ratio>
<ratio>56/55</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 0 -1 2 3</row>
<row>0 1 0 -2 -2 -1</row>
<row>0 0 1 3 2 1</row>
</mapping>
</section>
<section title="Catbird">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
</commas>
<mapping>
<row>1 0 0 -1 2 0</row>
<row>0 1 0 -2 -2 -5</row>
<row>0 0 1 3 2 5</row>
</mapping>
</section>
</section>
<section title="Aplonis">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>540/539</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 4</row>
<row>0 1 0 -2 7</row>
<row>0 0 1 3 -5</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 0 -1 4 0</row>
<row>0 1 0 -2 7 -5</row>
<row>0 0 1 3 -5 5</row>
</mapping>
</section>
</section>
<section title="Treecreeper">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>1232/1215</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 -3</row>
<row>0 1 0 -2 7</row>
<row>0 0 1 3 -2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -3 2</row>
<row>0 1 0 -2 7 4</row>
<row>0 0 1 3 -2 -2</row>
</mapping>
</section>
</section>
</section>
<section title="Starling temperaments">
<section title="Myna">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping legend="1">
<row>1 -1 0 1</row>
<row>0 10 9 7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -1 0 1 -3</row>
<row>0 10 9 7 25</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 -1 0 1 -3 5</row>
<row>0 10 9 7 25 -5</row>
</mapping>
</section>
<section title="Minah">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 -1 0 1 -3 -2</row>
<row>0 10 9 7 25 22</row>
</mapping>
</section>
<section title="Maneh">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -1 0 1 -3 -3</row>
<row>0 10 9 7 25 26</row>
</mapping>
</section>
</section>
<section title="Myno">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -1 0 1 5</row>
<row>0 10 9 7 -6</row>
</mapping>
</section>
<section title="Coleto">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>100/99</ratio>
<ratio>1728/1715</ratio>
</commas>
<mapping>
<row>1 -1 0 1 4</row>
<row>0 10 9 7 -2</row>
</mapping>
</section>
</section>
<section title="Nusecond">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>2430/2401</ratio>
</commas>
<mapping legend="1">
<row>1 -8 -9 -12</row>
<row>0 11 13 17</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 -8 -9 -12 -7</row>
<row>0 11 13 17 12</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>126/125</ratio>
</commas>
<mapping>
<row>1 -8 -9 -12 -7 -5</row>
<row>0 11 13 17 12 10</row>
</mapping>
</section>
</section>
<section title="Oolong">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>117649/116640</ratio>
</commas>
<mapping legend="1">
<row>1 -11 -11 -12</row>
<row>0 17 18 20</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>26411/26244</ratio>
</commas>
<mapping>
<row>1 -11 -11 -12 -38</row>
<row>0 17 18 20 56</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>13013/12960</ratio>
</commas>
<mapping>
<row>1 -11 -11 -12 -38 0</row>
<row>0 17 18 20 56 5</row>
</mapping>
</section>
</section>
<section title="Vines">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>84035/82944</ratio>
</commas>
<mapping legend="1">
<row>2 -1 1 3</row>
<row>0 8 7 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
<ratio>2401/2376</ratio>
</commas>
<mapping>
<row>2 -1 1 3 9</row>
<row>0 8 7 5 -4</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>2 -1 1 3 9 10</row>
<row>0 8 7 5 -4 -5</row>
</mapping>
</section>
</section>
<section title="Xenial">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>177147/175616</ratio>
</commas>
<mapping legend="1">
<row>1 -6 -12 -25</row>
<row>0 9 17 33</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>540/539</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 -6 -12 -25 22</row>
<row>0 9 17 33 -22</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 -6 -12 -25 22 -14</row>
<row>0 9 17 33 -22 21</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 -6 -12 -25 22 -14 26</row>
<row>0 9 17 33 -22 21 -26</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>171/170</ratio>
<ratio>221/220</ratio>
<ratio>256/255</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>1 -6 -12 -25 22 -14 26 27</row>
<row>0 9 17 33 -22 21 -26 -27</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>162/161</ratio>
<ratio>169/168</ratio>
<ratio>171/170</ratio>
<ratio>208/207</ratio>
<ratio>221/220</ratio>
<ratio>231/230</ratio>
</commas>
<mapping>
<row>1 -6 -12 -25 22 -14 26 27 2</row>
<row>0 9 17 33 -22 21 -26 -27 3</row>
</mapping>
</section>
</section>
<section title="Kumonga">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>12288/12005</ratio>
</commas>
<mapping legend="1">
<row>1 -9 -5 2</row>
<row>0 13 9 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>1 -9 -5 2 -12</row>
<row>0 13 9 1 19</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
</commas>
<mapping>
<row>1 -9 -5 2 -12 -2</row>
<row>0 13 9 1 19 7</row>
</mapping>
</section>
</section>
<section title="Bisemidim">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="1">
<row>2 1 2 2</row>
<row>0 9 11 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>540/539</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>2 1 2 2 5</row>
<row>0 9 11 15 8</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 1 2 2 5 5</row>
<row>0 9 11 15 8 10</row>
</mapping>
</section>
</section>
<section title="Cypress">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>19683/19208</ratio>
</commas>
<mapping legend="1">
<row>1 -5 -7 -12</row>
<row>0 12 17 27</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -5 -7 -12 -13</row>
<row>0 12 17 27 30</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>66/65</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -5 -7 -12 -13 -10</row>
<row>0 12 17 27 30 25</row>
</mapping>
</section>
</section>
<section title="Casablanca">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>589824/588245</ratio>
</commas>
<mapping legend="1">
<row>1 -7 -4 1</row>
<row>0 19 14 4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
<ratio>2420/2401</ratio>
</commas>
<mapping>
<row>1 -7 -4 1 3</row>
<row>0 19 14 4 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>385/384</ratio>
<ratio>2420/2401</ratio>
</commas>
<mapping>
<row>1 -7 -4 1 3 1</row>
<row>0 19 14 4 1 6</row>
</mapping>
</section>
</section>
<section title="Marrakesh">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 -7 -4 1 -11</row>
<row>0 19 14 4 32</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 -7 -4 1 -11 15</row>
<row>0 19 14 4 32 -25</row>
</mapping>
</section>
<section title="Murakuc">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>1540/1521</ratio>
</commas>
<mapping>
<row>1 -7 -4 1 -11 1</row>
<row>0 19 14 4 32 6</row>
</mapping>
</section>
</section>
</section>
<section title="Amigo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>2097152/2083725</ratio>
</commas>
<mapping legend="1">
<row>1 -2 2 9</row>
<row>0 11 1 -19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 -2 2 9 9</row>
<row>0 11 1 -19 -17</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>176/175</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>1 -2 2 9 9 5</row>
<row>0 11 1 -19 -17 -4</row>
</mapping>
</section>
</section>
<section title="Gilead">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>343/324</ratio>
</commas>
<mapping legend="1">
<row>1 -5 -5 -6</row>
<row>0 9 10 12</row>
</mapping>
</section>
<section title="Supersensi">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>17496/16807</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -4 -5</row>
<row>0 15 17 21</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>864/847</ratio>
</commas>
<mapping>
<row>1 -4 -4 -5 -1</row>
<row>0 15 17 21 12</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 -4 -4 -5 -1 -3</row>
<row>0 15 17 21 12 18</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>120/119</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 -4 -4 -5 -1 -3 0</row>
<row>0 15 17 21 12 18 11</row>
</mapping>
</section>
</section>
<section title="Cobalt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>40353607/40310784</ratio>
</commas>
<mapping legend="1">
<row>27 0 20 33</row>
<row>0 1 1 1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>540/539</ratio>
<ratio>21609/21296</ratio>
</commas>
<mapping>
<row>27 0 20 33 8</row>
<row>0 1 1 1 2</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>21609/21296</ratio>
</commas>
<mapping>
<row>27 0 20 33 8 100</row>
<row>0 1 1 1 2 0</row>
</mapping>
<section title="Cobaltous">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>189/187</ratio>
<ratio>196/195</ratio>
<ratio>1452/1445</ratio>
</commas>
<mapping>
<row>27 0 20 33 8 100 79</row>
<row>0 1 1 1 2 0 2</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>171/170</ratio>
<ratio>189/187</ratio>
<ratio>196/195</ratio>
<ratio>969/968</ratio>
</commas>
<mapping>
<row>27 0 20 33 8 100 79 99</row>
<row>0 1 1 1 2 0 2 1</row>
</mapping>
</section>
</section>
<section title="Cobaltic">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>221/220</ratio>
<ratio>12005/11968</ratio>
</commas>
<mapping>
<row>27 0 20 33 8 100 -18</row>
<row>0 1 1 1 2 0 3</row>
</mapping>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>210/209</ratio>
<ratio>221/220</ratio>
<ratio>1088/1083</ratio>
</commas>
<mapping>
<row>27 0 20 33 8 100 -18 72</row>
<row>0 1 1 1 2 0 3 1</row>
</mapping>
</section>
</section>
</section>
<section title="Cobaltite">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>169/168</ratio>
<ratio>540/539</ratio>
<ratio>975/968</ratio>
</commas>
<mapping>
<row>27 0 20 33 8 57</row>
<row>0 1 1 1 2 1</row>
</mapping>
</section>
</section>
</section>
<section title="References"/>
</section>
<section title="Stearnsmic clan">
<section title="No-five stearnsmic">
<subgroup>2.3.7</subgroup>
<commas>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="2">
<row>2 1 2</row>
<row>0 3 5</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Pogo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>32805/32768</ratio>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="1">
<row>2 1 22 2</row>
<row>0 3 -24 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4000/3993</ratio>
<ratio>32805/32768</ratio>
</commas>
<mapping>
<row>2 1 22 2 25</row>
<row>0 3 -24 5 -25</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>2 1 22 2 25 -2</row>
<row>0 3 -24 5 -25 13</row>
</mapping>
</section>
</section>
<section title="Supers">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>5120/5103</ratio>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="1">
<row>2 1 -12 2</row>
<row>0 3 23 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4000/3993</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>2 1 -12 2 -9</row>
<row>0 3 23 5 22</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>2 1 -12 2 -9 -2</row>
<row>0 3 23 5 22 13</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>289/288</ratio>
<ratio>352/351</ratio>
<ratio>442/441</ratio>
<ratio>561/560</ratio>
</commas>
<mapping>
<row>2 1 -12 2 -9 -2 6</row>
<row>0 3 23 5 22 13 3</row>
</mapping>
</section>
</section>
<section title="Stearnscape">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>118098/117649</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping legend="1">
<row>6 3 2 6</row>
<row>0 6 11 10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4000/3993</ratio>
<ratio>137781/137500</ratio>
</commas>
<mapping>
<row>6 3 2 6 11</row>
<row>0 6 11 10 9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>34398/34375</ratio>
</commas>
<mapping>
<row>6 3 2 6 11 -6</row>
<row>0 6 11 10 9 26</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>936/935</ratio>
<ratio>1156/1155</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>6 3 2 6 11 -6 5</row>
<row>0 6 11 10 9 26 18</row>
</mapping>
</section>
</section>
<section title="Garistearn">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>118098/117649</ratio>
<ratio>33554432/33480783</ratio>
</commas>
<mapping legend="1">
<row>94 149 0 264</row>
<row>0 0 1 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4000/3993</ratio>
<ratio>33554432/33480783</ratio>
</commas>
<mapping>
<row>94 149 0 264 107</row>
<row>0 0 1 0 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
<ratio>28672/28561</ratio>
</commas>
<mapping>
<row>94 149 0 264 107 348</row>
<row>0 0 1 0 1 0</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1156/1155</ratio>
<ratio>1575/1573</ratio>
<ratio>2880/2873</ratio>
</commas>
<mapping>
<row>94 149 0 264 107 348 166</row>
<row>0 0 1 0 1 0 1</row>
</mapping>
</section>
</section>
<section title="Decistearn">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3136/3125</ratio>
<ratio>118098/117649</ratio>
</commas>
<mapping legend="1">
<row>10 2 14 5</row>
<row>0 3 2 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping>
<row>10 2 14 5 30</row>
<row>0 3 2 5 1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>3136/3125</ratio>
</commas>
<mapping>
<row>10 2 14 5 30 37</row>
<row>0 3 2 5 1 0</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>1632/1625</ratio>
</commas>
<mapping>
<row>10 2 14 5 30 37 27</row>
<row>0 3 2 5 1 0 3</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
<ratio>351/350</ratio>
<ratio>361/360</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
</commas>
<mapping>
<row>10 2 14 5 30 37 27 24</row>
<row>0 3 2 5 1 0 3 4</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>221/220</ratio>
<ratio>289/288</ratio>
<ratio>351/350</ratio>
<ratio>361/360</ratio>
<ratio>456/455</ratio>
<ratio>476/475</ratio>
<ratio>897/896</ratio>
</commas>
<mapping>
<row>10 2 14 5 30 37 27 24 36</row>
<row>0 3 2 5 1 0 3 4 2</row>
</mapping>
</section>
</section>
</section>
<section title="Subgroup temperaments">
<section title="Composite subgroup temperaments">
<section title="2.9.5.7 subgroup">
<section title="Commatose">
<subgroup>2.9.5.7</subgroup>
<commas>
<monzo>28 -2 -19 8</monzo>
<monzo>9 -25 23 6</monzo>
</commas>
<mapping legend="2">
<row>1 9 6 13</row>
<row>0 -298 -188 -521</row>
</mapping>
<section title="2.9.5.7.11">
<subgroup>2.9.5.7.11</subgroup>
<commas>
<monzo>-7 7 -3 2 -4</monzo>
<monzo>17 0 -13 1 3</monzo>
<monzo>11 -2 -6 7 -3</monzo>
</commas>
<mapping>
<row>1 9 6 13 16</row>
<row>0 -298 -188 -521 -641</row>
</mapping>
</section>
<section title="2.9.5.7.11.13">
<subgroup>2.9.5.7.11.13</subgroup>
<commas>
<ratio>123201/123200</ratio>
<ratio>1016064/1015625</ratio>
<ratio>2250423/2249390</ratio>
<ratio>2599051/2598156</ratio>
</commas>
<mapping>
<row>0 9 6 13 16 10</row>
<row>-298 -188 -521 -641 -322</row>
</mapping>
</section>
</section>
<section title="Daemotertiaschis">
<subgroup>2.9.5.7.33.13.17</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>375/374</ratio>
<ratio>385/384</ratio>
<ratio>595/594</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping legend="2">
<row>1 1 11 -16 13 -18 20</row>
<row>0 3 -12 26 -11 30 -22</row>
</mapping>
</section>
<section title="Baldy">
<subgroup>2.9.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>3125/3087</ratio>
</commas>
<mapping legend="2">
<row>1 3 3 4</row>
<row>0 1 -4 -7</row>
</mapping>
<section title="2.9.5.7.13">
<subgroup>2.9.5.7.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>640/637</ratio>
</commas>
<mapping legend="2">
<row>1 0 15 25 -28</row>
<row>0 1 -4 -7 10</row>
</mapping>
</section>
<section title="Baldanders">
<subgroup>2.9.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
</commas>
<mapping legend="2">
<row>1 3 3 4 5</row>
<row>0 1 -4 -7 -9</row>
</mapping>
<section title="2.9.5.7.11.13">
<subgroup>2.9.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
</commas>
<mapping legend="2">
<row>1 3 3 4 5 2</row>
<row>0 1 -4 -7 -9 10</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="2.9.5.11 subgroup">
<section title="Glacial">
<subgroup>2.9.5.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>65/64</ratio>
<ratio>81/80</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 -6 10</row>
<row>0 1 2 3 -2</row>
</mapping>
</section>
</section>
<section title="2.9.7 subgroup">
<section title="Mabon">
<subgroup>2.9.7</subgroup>
<commas>
<ratio>44957696/43046721</ratio>
</commas>
<mapping>
<row>1 1 -3</row>
<row>0 3 8</row>
</mapping>
<section title="2.9.7.11 subgroup">
<subgroup>2.9.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>1331/1296</ratio>
</commas>
<mapping>
<row>1 1 -3 2</row>
<row>0 3 8 2</row>
</mapping>
</section>
</section>
</section>
<section title="2.9.7.11 subgroup">
<section title="Apparatus">
<subgroup>2.9.7.11</subgroup>
<commas>
<ratio>41503/41472</ratio>
<ratio>322102/321489</ratio>
</commas>
<mapping legend="2">
<row>1 5 3 5</row>
<row>0 -19 -2 -16</row>
</mapping>
</section>
<section title="Joan">
<subgroup>2.9.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>9317/9216</ratio>
</commas>
<mapping legend="2">
<row>1 0 1 3</row>
<row>0 7 4 1</row>
</mapping>
</section>
<section title="Machine">
<subgroup>2.9.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>99/98</ratio>
</commas>
<mapping legend="2">
<row>1 0 6 13</row>
<row>0 1 -1 -3</row>
</mapping>
</section>
<section title="Penta a.k.a. mechanism">
<subgroup>2.9.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>26411/26244</ratio>
</commas>
<mapping legend="2">
<row>1 0 -1 6</row>
<row>0 5 6 -4</row>
</mapping>
</section>
</section>
<section title="2.9.11 subgroup">
<section title="Demon">
<subgroup>2.9.11</subgroup>
<commas>
<ratio>1331/1296</ratio>
</commas>
<mapping legend="2">
<row>1 1 2</row>
<row>0 3 2</row>
</mapping>
</section>
<section title="Genius">
<subgroup>2.9.11</subgroup>
<commas>
<ratio>131769/131072</ratio>
</commas>
<mapping legend="2">
<row>1 1 4</row>
<row>0 4 -1</row>
</mapping>
</section>
</section>
<section title="2.9.15.7 subgroup">
<section title="Stacks (a.k.a. 2magic)">
<subgroup>2.9.15.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
</commas>
<mapping legend="2">
<row>1 0 2 -1</row>
<row>0 5 3 6</row>
</mapping>
<section title="2.9.15.7.11">
<subgroup>2.9.15.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6</row>
<row>0 5 3 6 -4</row>
</mapping>
</section>
<section title="2.9.15.7.11.13">
<subgroup>2.9.15.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
</commas>
<mapping>
<row>1 0 2 -1 6 -2</row>
<row>0 5 3 6 -4 9</row>
</mapping>
</section>
</section>
</section>
<section title="2.9.21 subgroup">
<section title="A-team">
<subgroup>2.9.21</subgroup>
<commas>
<ratio>1029/1024</ratio>
</commas>
<mapping legend="2">
<row>1 2 4</row>
<row>0 3 1</row>
</mapping>
</section>
</section>
<section title="4.3.5 subgroup">
<section title="Tetrahanson">
<subgroup>4.3.5</subgroup>
<commas>
<ratio>15625/15552</ratio>
</commas>
<mapping legend="2">
<row>1 3 3</row>
<row>0 -6 -5</row>
</mapping>
</section>
<section title="Tetrameantone">
<subgroup>4.3.5</subgroup>
<commas>
<ratio>81/80</ratio>
</commas>
<mapping legend="2">
<row>1 1 2</row>
<row>0 -1 -4</row>
</mapping>
</section>
<section title="Tetramagic">
<subgroup>4.3.5</subgroup>
<commas>
<ratio>3125/3072</ratio>
</commas>
<mapping legend="2">
<row>1 0 1</row>
<row>0 5 1</row>
</mapping>
</section>
<section title="Blacktetra">
<subgroup>4.3.5</subgroup>
<commas>
<ratio>256/243</ratio>
</commas>
<mapping legend="2">
<row>5 4 6</row>
<row>0 0 -1</row>
</mapping>
</section>
</section>
<section title="4.6.5 subgroup">
<section title="Meanquad">
<subgroup>4.6.5</subgroup>
<commas>
<monzo>-4 4 -1</monzo>
</commas>
<mapping legend="2">
<row>1 0 -4</row>
<row>0 1 4</row>
</mapping>
<section title="4.6.5.7 subgroup (tetrominant)">
<subgroup>4.6.5.7</subgroup>
<commas>
<ratio>36/35</ratio>
<ratio>64/63</ratio>
</commas>
<mapping legend="2">
<row>1 0 -4 4</row>
<row>0 1 4 -2</row>
</mapping>
</section>
</section>
</section>
<section title="4.9.25 subgroup">
<section title="Meansquared">
<subgroup>4.9.25</subgroup>
<commas>
<ratio>6561/6400</ratio>
</commas>
<mapping legend="2">
<row>1 3 4</row>
<row>0 1 4</row>
</mapping>
</section>
</section>
<section title="8.9.7 subgroup">
<section title="Sixscared">
<subgroup>8.9.7</subgroup>
<commas>
<ratio>64/63</ratio>
</commas>
<mapping legend="2">
<row>1 0 2</row>
<row>0 1 -1</row>
</mapping>
</section>
</section>
</section>
</section>
<section title="Swetismic temperaments">
<section title="Hades">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping legend="1">
<row>2 1 0 2 3</row>
<row>0 3 0 5 -1</row>
<row>0 0 1 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>2 1 0 2 3 -2</row>
<row>0 3 0 5 -1 13</row>
<row>0 0 1 0 1 0</row>
</mapping>
</section>
<section title="Cerberus">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
</commas>
<mapping>
<row>2 1 0 2 3 1</row>
<row>0 3 0 5 -1 -4</row>
<row>0 0 1 0 1 2</row>
</mapping>
</section>
</section>
<section title="Minos">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>12005/11979</ratio>
</commas>
<mapping legend="1">
<row>1 0 -3 0 -1</row>
<row>0 2 4 3 4</row>
<row>0 0 5 1 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>540/539</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 0 -3 0 -1 -4</row>
<row>0 2 4 3 4 7</row>
<row>0 0 5 1 3 5</row>
</mapping>
</section>
</section>
<section title="Persephone">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>88209/87500</ratio>
</commas>
<mapping legend="1">
<row>1 0 -6 4 -12</row>
<row>0 1 4 0 7</row>
<row>0 0 5 -3 11</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>540/539</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 0 -6 4 -12 -7</row>
<row>0 1 4 0 7 5</row>
<row>0 0 5 -3 11 7</row>
</mapping>
</section>
</section>
<section title="Hypnos">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>540/539</ratio>
<ratio>72171/71680</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -3 8</row>
<row>0 3 0 11 -13</row>
<row>0 0 1 0 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>169/168</ratio>
<ratio>540/539</ratio>
<ratio>729/728</ratio>
</commas>
<mapping>
<row>1 0 0 -3 8 0</row>
<row>0 3 0 11 -13 7</row>
<row>0 0 1 0 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Sycamore family">
<section title="Sycamore">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>48828125/47775744</ratio>
</commas>
<mapping legend="1">
<row>1 1 2</row>
<row>0 11 6</row>
</mapping>
</section>
<section title="Septimal sycamore">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>875/864</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 2</row>
<row>0 11 6 15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>385/384</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>1 1 2 2 4</row>
<row>0 11 6 15 -10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>169/168</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 2 2 4 3</row>
<row>0 11 6 15 -10 13</row>
</mapping>
</section>
</section>
<section title="Betic">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>1071875/1062882</ratio>
</commas>
<mapping legend="1">
<row>1 1 2 1</row>
<row>0 11 6 34</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>218750/216513</ratio>
</commas>
<mapping>
<row>1 1 2 1 5</row>
<row>0 11 6 34 -29</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>325/324</ratio>
<ratio>385/384</ratio>
<ratio>1875/1859</ratio>
</commas>
<mapping>
<row>1 1 2 1 5 2</row>
<row>0 11 6 34 -29 32</row>
</mapping>
</section>
</section>
</section>
<section title="Tetracot family">
<section title="Tetracot">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>20000/19683</ratio>
</commas>
<mapping legend="1">
<row>1 1 1</row>
<row>0 4 9</row>
</mapping>
<section title="Overview to extensions">
<section title="Subgroup extensions"/>
<section title="Full 7-limit extensions"/>
</section>
<section title="2.3.5.11 subgroup">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 2</row>
<row>0 4 9 10</row>
</mapping>
<section title="2.3.5.11.13 subgroup">
<subgroup>2.3.5.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 4</row>
<row>0 4 9 10 -2</row>
</mapping>
</section>
</section>
</section>
<section title="Monkey">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>875/864</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 5</row>
<row>0 4 9 -15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 1 5 2</row>
<row>0 4 9 -15 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 5 2 4</row>
<row>0 4 9 -15 10 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
</commas>
<mapping>
<row>1 1 1 5 2 4 6</row>
<row>0 4 9 -15 10 -2 -13</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>171/169</ratio>
</commas>
<mapping>
<row>1 1 1 5 2 4 6 6</row>
<row>0 4 9 -15 10 -2 -13 -12</row>
</mapping>
</section>
</section>
<section title="Bunya">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>15625/15309</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 -1</row>
<row>0 4 9 26</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 -1 2</row>
<row>0 4 9 26 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 -1 2 4</row>
<row>0 4 9 26 10 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 1 1 -1 2 4 6</row>
<row>0 4 9 26 10 -2 -13</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>170/169</ratio>
<ratio>190/189</ratio>
<ratio>225/224</ratio>
</commas>
<mapping>
<row>1 1 1 -1 2 4 6 0</row>
<row>0 4 9 26 10 -2 -13 29</row>
</mapping>
</section>
</section>
<section title="Modus">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 4</row>
<row>0 4 9 -8</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 4 2</row>
<row>0 4 9 -8 10</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 1 4 2 4</row>
<row>0 4 9 -8 10 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 1 4 2 4 1</row>
<row>0 4 9 -8 10 -2 21</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>64/63</ratio>
<ratio>78/77</ratio>
<ratio>96/95</ratio>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>1 1 1 4 2 4 1 5</row>
<row>0 4 9 -8 10 -2 21 -5</row>
</mapping>
</section>
</section>
<section title="Ponens">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>363/350</ratio>
</commas>
<mapping>
<row>1 1 1 4 3</row>
<row>0 4 9 -8 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
<ratio>143/140</ratio>
</commas>
<mapping>
<row>1 1 1 4 3 4</row>
<row>0 4 9 -8 3 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>52/51</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
<ratio>143/140</ratio>
</commas>
<mapping>
<row>1 1 1 4 3 4 5</row>
<row>0 4 9 -8 3 -2 -6</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>52/51</ratio>
<ratio>55/54</ratio>
<ratio>64/63</ratio>
<ratio>66/65</ratio>
<ratio>77/76</ratio>
<ratio>143/140</ratio>
</commas>
<mapping>
<row>1 1 1 4 3 4 5 5</row>
<row>0 4 9 -8 3 -2 -6 -5</row>
</mapping>
</section>
</section>
</section>
<section title="Wollemia">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>2240/2187</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 0</row>
<row>0 4 9 19</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 0 2</row>
<row>0 4 9 19 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 0 2 4</row>
<row>0 4 9 19 10 -2</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 1 1 0 2 4 1</row>
<row>0 4 9 19 10 -2 21</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>76/75</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>136/135</ratio>
<ratio>154/153</ratio>
</commas>
<mapping>
<row>1 1 1 0 2 4 1 1</row>
<row>0 4 9 19 10 -2 21 22</row>
</mapping>
</section>
</section>
<section title="Octacot">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>2401/2400</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 2</row>
<row>0 8 18 11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 2</row>
<row>0 8 18 11 20</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 4</row>
<row>0 8 18 11 20 -4</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
<ratio>189/187</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 4 3</row>
<row>0 8 18 11 20 -4 15</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>120/119</ratio>
<ratio>133/132</ratio>
<ratio>144/143</ratio>
<ratio>154/153</ratio>
<ratio>189/187</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 4 3 3</row>
<row>0 8 18 11 20 -4 15 17</row>
</mapping>
</section>
</section>
<section title="Octocat">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 2</row>
<row>0 8 18 11 20 23</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>52/51</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>189/187</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 2 3</row>
<row>0 8 18 11 20 23 15</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>52/51</ratio>
<ratio>78/77</ratio>
<ratio>91/90</ratio>
<ratio>100/99</ratio>
<ratio>133/132</ratio>
<ratio>189/187</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 2 3 3</row>
<row>0 8 18 11 20 23 15 17</row>
</mapping>
</section>
</section>
<section title="Octopod">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1</row>
<row>0 8 18 11 20 37</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>154/153</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1 3</row>
<row>0 8 18 11 20 37 15</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>120/119</ratio>
<ratio>133/132</ratio>
<ratio>154/153</ratio>
<ratio>209/208</ratio>
</commas>
<mapping>
<row>1 1 1 2 2 1 3 3</row>
<row>0 8 18 11 20 37 15 17</row>
</mapping>
</section>
</section>
<section title="Dificot">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
<ratio>245/242</ratio>
<ratio>343/338</ratio>
</commas>
<mapping>
<row>1 -7 -17 -9 -18 -14</row>
<row>0 16 36 22 40 33</row>
</mapping>
</section>
</section>
<section title="October">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>245/243</ratio>
<ratio>385/384</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 1 1 2 5</row>
<row>0 8 18 11 -21</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>275/273</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 1 1 2 5 4</row>
<row>0 8 18 11 -21 -4</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>196/195</ratio>
<ratio>245/243</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>1 1 1 2 5 4 6</row>
<row>0 8 18 11 -21 -4 -26</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>154/153</ratio>
<ratio>170/169</ratio>
<ratio>190/189</ratio>
<ratio>196/195</ratio>
<ratio>209/208</ratio>
<ratio>245/243</ratio>
</commas>
<mapping>
<row>1 1 1 2 5 4 6 3</row>
<row>0 8 18 11 -21 -4 -26 17</row>
</mapping>
</section>
</section>
</section>
<section title="Dodecacot">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>3125/3087</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>1 1 1 1</row>
<row>0 12 27 37</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>243/242</ratio>
<ratio>1375/1372</ratio>
</commas>
<mapping>
<row>1 1 1 1 2</row>
<row>0 12 27 37 30</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 1 1 1 2 2</row>
<row>0 12 27 37 30 35</row>
</mapping>
</section>
</section>
<section title="Weasel">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>19683/19208</ratio>
</commas>
<mapping legend="1">
<row>2 2 2 3</row>
<row>0 4 9 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>99/98</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4</row>
<row>0 4 9 9 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4 3</row>
<row>0 4 9 9 10 15</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>85/84</ratio>
<ratio>99/98</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4 3 7</row>
<row>0 4 9 9 10 15 4</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78/77</ratio>
<ratio>85/84</ratio>
<ratio>99/98</ratio>
<ratio>135/133</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4 3 7 5</row>
<row>0 4 9 9 10 15 4 12</row>
</mapping>
</section>
</section>
<section title="Weasly">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4 8</row>
<row>0 4 9 9 10 -2</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>85/84</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4 8 7</row>
<row>0 4 9 9 10 -2 4</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>85/84</ratio>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>190/189</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>2 2 2 3 4 8 7 5</row>
<row>0 4 9 9 10 -2 4 12</row>
</mapping>
</section>
</section>
</section>
<section title="Other subgroup extensions">
<section title="Tetracot (2.3.5.13)">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>325/324</ratio>
<ratio>512/507</ratio>
</commas>
<mapping>
<row>1 1 1 4</row>
<row>0 4 9 -2</row>
</mapping>
</section>
<section title="Devisemi (2.3.5.19)">
<subgroup>2.3.5.19</subgroup>
<commas>
<ratio>361/360</ratio>
<ratio>20000/19683</ratio>
</commas>
<mapping legend="2">
<row>1 1 1 3</row>
<row>0 8 18 17</row>
</mapping>
</section>
<section title="Devisemi (2.3.5.7.19)">
<subgroup>2.3.5.7.19</subgroup>
<commas>
<ratio>190/189</ratio>
<ratio>245/243</ratio>
<ratio>361/360</ratio>
</commas>
<mapping>
<row>1 1 1 2 3</row>
<row>0 8 18 11 17</row>
</mapping>
</section>
</section>
<section title="Notes"/>
<section title="References"/>
</section>
<section title="Alphatricot family">
<section title="Alphatricot">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>39 -29 3</monzo>
</commas>
<mapping legend="1">
<row>1 0 -13</row>
<row>0 3 29</row>
</mapping>
<section title="Alphatrimot (2.3.5.13 subgroup)">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>2197/2187</ratio>
<ratio>41067/40960</ratio>
</commas>
<mapping>
<row>1 0 -13 0</row>
<row>0 3 29 7</row>
</mapping>
</section>
<section title="Alphatrillium (2.3.5.13 subgroup)">
<subgroup>2.3.5.13</subgroup>
<commas>
<ratio>140628/140625</ratio>
<ratio>256000/255879</ratio>
</commas>
<mapping>
<row>1 0 -13 -28</row>
<row>0 3 29 60</row>
</mapping>
</section>
</section>
<section title="Alphatrillium">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<monzo>40 -22 -1 -1</monzo>
</commas>
<mapping legend="1">
<row>1 0 -13 53</row>
<row>0 3 29 -95</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>131072/130977</ratio>
<ratio>759375/758912</ratio>
</commas>
<mapping>
<row>1 0 -13 53 -89</row>
<row>0 3 29 -95 175</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>4096/4095</ratio>
<ratio>4375/4374</ratio>
<ratio>78125/78078</ratio>
</commas>
<mapping>
<row>1 0 -13 53 -89 -28</row>
<row>0 3 29 -95 175 60</row>
</mapping>
</section>
</section>
<section title="Pseudotrillium">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>5632/5625</ratio>
<ratio>4108797/4096000</ratio>
</commas>
<mapping>
<row>1 0 -13 53 -61</row>
<row>0 3 29 -95 122</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>847/845</ratio>
<ratio>1001/1000</ratio>
<ratio>4096/4095</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 0 -13 53 -61 -28</row>
<row>0 3 29 -95 122 60</row>
</mapping>
</section>
</section>
</section>
<section title="Alphatrident">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>6144/6125</ratio>
<ratio>14348907/14336000</ratio>
</commas>
<mapping legend="1">
<row>1 0 -13 25</row>
<row>0 3 29 -42</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3388/3375</ratio>
<ratio>6144/6125</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping>
<row>1 0 -13 25 -33</row>
<row>0 3 29 -42 69</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>2080/2079</ratio>
<ratio>2197/2187</ratio>
<ratio>3146/3125</ratio>
</commas>
<mapping>
<row>1 0 -13 25 -33 0</row>
<row>0 3 29 -42 69 7</row>
</mapping>
</section>
</section>
<section title="Alphatrimot">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2430/2401</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping legend="1">
<row>1 0 -13 -3</row>
<row>0 3 29 11</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>5120/5103</ratio>
</commas>
<mapping>
<row>1 0 -13 -3 -5</row>
<row>0 3 29 11 16</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>121/120</ratio>
<ratio>169/168</ratio>
<ratio>352/351</ratio>
</commas>
<mapping>
<row>1 0 -13 -3 -5 0</row>
<row>0 3 29 11 16 7</row>
</mapping>
</section>
</section>
<section title="Tritricot">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250047/250000</ratio>
<monzo>35 -23 -3 3</monzo>
</commas>
<mapping legend="1">
<row>3 0 -39 -74</row>
<row>0 3 29 52</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4000/3993</ratio>
<ratio>166698/166375</ratio>
<ratio>200704/200475</ratio>
</commas>
<mapping>
<row>3 0 -39 -74 -34</row>
<row>0 3 29 52 28</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
<ratio>34398/34375</ratio>
<ratio>43904/43875</ratio>
</commas>
<mapping>
<row>3 0 -39 -74 -34 -84</row>
<row>0 3 29 52 28 60</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>936/935</ratio>
<ratio>1575/1573</ratio>
<ratio>1701/1700</ratio>
<ratio>2025/2023</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>3 0 -39 -74 -34 -84 -2</row>
<row>0 3 29 52 28 60 9</row>
</mapping>
</section>
</section>
<section title="Noletaland">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>250047/250000</ratio>
<ratio>56723625/56689952</ratio>
<ratio>78675968/78594219</ratio>
</commas>
<mapping>
<row>3 6 19 30 35</row>
<row>0 -9 -87 -156 -178</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>10648/10647</ratio>
<ratio>43904/43875</ratio>
<ratio>85750/85683</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping>
<row>3 6 19 30 35 36</row>
<row>0 -9 -87 -156 -178 -180</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>2058/2057</ratio>
<ratio>4914/4913</ratio>
<ratio>8624/8619</ratio>
<ratio>12376/12375</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping>
<row>3 6 19 30 35 36 29</row>
<row>0 -9 -87 -156 -178 -180 -121</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>2058/2057</ratio>
<ratio>2926/2925</ratio>
<ratio>3136/3135</ratio>
<ratio>4200/4199</ratio>
<ratio>4914/4913</ratio>
<ratio>250047/250000</ratio>
</commas>
<mapping>
<row>3 6 19 30 35 36 29 18</row>
<row>0 -9 -87 -156 -178 -180 -121 -38</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>2058/2057</ratio>
<ratio>2926/2925</ratio>
<ratio>3136/3135</ratio>
<ratio>3381/3380</ratio>
<ratio>3520/3519</ratio>
<ratio>4914/4913</ratio>
<ratio>18515/18513</ratio>
</commas>
<mapping>
<row>3 6 19 30 35 36 29 18 31</row>
<row>0 -9 -87 -156 -178 -180 -121 -38 -126</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>2058/2057</ratio>
<ratio>2755/2754</ratio>
<ratio>2926/2925</ratio>
<ratio>3136/3135</ratio>
<ratio>3381/3380</ratio>
<ratio>3451/3450</ratio>
<ratio>3520/3519</ratio>
<ratio>4914/4913</ratio>
</commas>
<mapping>
<row>3 6 19 30 35 36 29 18 31 19</row>
<row>0 -9 -87 -156 -178 -180 -121 -38 -126 -32</row>
</mapping>
</section>
</section>
</section>
<section title="Notes"/>
</section>
<section title="Trienstonic clan">
<section title="Trienstonian">
<subgroup>2.3.7</subgroup>
<commas>
<ratio>28/27</ratio>
</commas>
<mapping legend="2">
<row>1 0 -2</row>
<row>0 1 3</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Uncle">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>256/245</ratio>
</commas>
<mapping legend="1">
<row>1 0 12 -2</row>
<row>0 1 -6 3</row>
</mapping>
</section>
<section title="Octokaidecal">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>50/49</ratio>
</commas>
<mapping legend="1">
<row>2 0 -5 -4</row>
<row>0 1 3 3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>50/49</ratio>
<ratio>55/54</ratio>
</commas>
<mapping>
<row>2 0 -5 -4 7</row>
<row>0 1 3 3 0</row>
</mapping>
</section>
</section>
<section title="Parakangaroo">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>1029/1000</ratio>
</commas>
<mapping legend="1">
<row>1 0 -3 -2</row>
<row>0 3 10 9</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>77/75</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 0 -3 -2 -4</row>
<row>0 3 10 9 14</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>28/27</ratio>
<ratio>40/39</ratio>
<ratio>66/65</ratio>
<ratio>147/143</ratio>
</commas>
<mapping>
<row>1 0 -3 -2 -4 0</row>
<row>0 3 10 9 14 7</row>
</mapping>
</section>
</section>
</section>
<section title="Unicorn family">
<section title="Unicorn">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>1594323/1562500</ratio>
</commas>
<mapping legend="1">
<row>1 2 3</row>
<row>0 -8 -13</row>
</mapping>
</section>
<section title="Septimal unicorn">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 4</row>
<row>0 -8 -13 -23</row>
</mapping>
<section title="2.3.5.7.13 subgroup">
<subgroup>2.3.5.7.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>676/675</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 4 5</row>
<row>0 -8 -13 -23 -25</row>
</mapping>
<section title="2.3.5.7.13.29 subgroup">
<subgroup>2.3.5.7.13.29</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>261/260</ratio>
<ratio>377/375</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 4 5 6</row>
<row>0 -8 -13 -23 -25 -22</row>
</mapping>
</section>
</section>
<section title="Alicorn">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>540/539</ratio>
<ratio>896/891</ratio>
</commas>
<mapping>
<row>1 2 3 4 3</row>
<row>0 -8 -13 -23 9</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>196/195</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 2 3 4 3 5</row>
<row>0 -8 -13 -23 9 -25</row>
</mapping>
</section>
</section>
<section title="Camahueto">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 2 3 4 2</row>
<row>0 -8 -13 -23 28</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>385/384</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 2 3 4 2 5</row>
<row>0 -8 -13 -23 28 -25</row>
</mapping>
</section>
</section>
<section title="Qilin">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 2 3 4 6</row>
<row>0 -8 -13 -23 -49</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>176/175</ratio>
<ratio>196/195</ratio>
<ratio>2200/2197</ratio>
</commas>
<mapping>
<row>1 2 3 4 6 5</row>
<row>0 -8 -13 -23 -49 -25</row>
</mapping>
</section>
</section>
<section title="Monocerus">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
<ratio>5488/5445</ratio>
</commas>
<mapping>
<row>2 4 6 8 9</row>
<row>0 -8 -13 -23 -20</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>243/242</ratio>
<ratio>364/363</ratio>
</commas>
<mapping>
<row>2 4 6 8 9 10</row>
<row>0 -8 -13 -23 -20 -25</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>196/195</ratio>
<ratio>221/220</ratio>
<ratio>243/242</ratio>
<ratio>289/288</ratio>
</commas>
<mapping>
<row>2 4 6 8 9 10 9</row>
<row>0 -8 -13 -23 -20 -25 -8</row>
</mapping>
</section>
</section>
</section>
<section title="Rhinoceros">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping legend="1">
<row>1 2 3 3</row>
<row>0 -8 -13 -4</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>100/99</ratio>
<ratio>126/121</ratio>
</commas>
<mapping>
<row>1 2 3 3 4</row>
<row>0 -8 -13 -4 -10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>49/48</ratio>
<ratio>78/77</ratio>
<ratio>100/99</ratio>
<ratio>126/121</ratio>
</commas>
<mapping>
<row>1 2 3 3 4 4</row>
<row>0 -8 -13 -4 -10 -6</row>
</mapping>
</section>
</section>
</section>
<section title="Valinorsmic clan">
<section title="Valinor">
<subgroup>2.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
</commas>
<mapping legend="2">
<row>1 0 0 -4</row>
<row>0 1 0 2</row>
<row>0 0 1 1</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Manwe">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 12 8</row>
<row>0 1 0 3 3</row>
<row>0 0 1 -6 -4</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>1 0 0 12 8 13</row>
<row>0 1 0 3 3 0</row>
<row>0 0 1 -6 -4 -4</row>
</mapping>
</section>
</section>
<section title="Augenic">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>56/55</ratio>
<ratio>128/125</ratio>
</commas>
<mapping legend="1">
<row>3 0 7 0 2</row>
<row>0 1 0 0 0</row>
<row>0 0 0 1 1</row>
</mapping>
</section>
</section>
<section title="Vishnuzmic family">
<section title="Vishnu">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>6115295232/6103515625</ratio>
</commas>
<mapping legend="1">
<row>2 4 5</row>
<row>0 -7 -3</row>
</mapping>
</section>
<section title="Septimal vishnu">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>29360128/29296875</ratio>
</commas>
<mapping legend="1">
<row>2 4 5 10</row>
<row>0 -7 -3 -37</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4374</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>2 4 5 10 10</row>
<row>0 -7 -3 -37 -26</row>
</mapping>
<section title="Ananta">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>2 4 5 10 10 1</row>
<row>0 -7 -3 -37 -26 54</row>
</mapping>
</section>
<section title="Acyuta">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>3025/3024</ratio>
<ratio>5632/5625</ratio>
</commas>
<mapping>
<row>2 4 5 10 10 17</row>
<row>0 -7 -3 -37 -26 -81</row>
</mapping>
</section>
</section>
</section>
<section title="Vishnean">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>540225/524288</ratio>
</commas>
<mapping legend="1">
<row>2 4 5 5</row>
<row>0 -7 -3 5</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>385/384</ratio>
<ratio>1350/1331</ratio>
</commas>
<mapping>
<row>2 4 5 5 8</row>
<row>0 -7 -3 5 -9</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>126/125</ratio>
<ratio>144/143</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>2 4 5 5 8 8</row>
<row>0 -7 -3 5 -9 -5</row>
</mapping>
</section>
</section>
<section title="Narayana">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>65625/65536</ratio>
<ratio>321489/320000</ratio>
</commas>
<mapping legend="1">
<row>2 4 5 3</row>
<row>0 -7 -3 22</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>8019/8000</ratio>
<ratio>65625/65536</ratio>
</commas>
<mapping>
<row>2 4 5 3 3</row>
<row>0 -7 -3 22 33</row>
</mapping>
</section>
</section>
<section title="Quarvish">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>6115295232/6103515625</ratio>
</commas>
<mapping legend="1">
<row>2 4 5 6</row>
<row>0 -28 -12 -13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
<ratio>172032/171875</ratio>
</commas>
<mapping>
<row>2 4 5 6 6</row>
<row>0 -28 -12 -13 31</row>
</mapping>
</section>
</section>
<section title="Decavish">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>420175/419904</ratio>
<ratio>2202927104/2197265625</ratio>
</commas>
<mapping legend="1">
<row>10 6 19 14</row>
<row>0 7 3 10</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>41503/41472</ratio>
<ratio>172032/171875</ratio>
</commas>
<mapping>
<row>10 6 19 14 36</row>
<row>0 7 3 10 -1</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1001/1000</ratio>
<ratio>4225/4224</ratio>
<ratio>4459/4455</ratio>
<ratio>6656/6655</ratio>
</commas>
<mapping>
<row>10 6 19 14 36 37</row>
<row>0 7 3 10 -1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Vulture family">
<section title="Vulture">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>10485760000/10460353203</ratio>
</commas>
<mapping legend="1">
<row>1 0 -6</row>
<row>0 4 21</row>
</mapping>
<section title="Overview to extensions"/>
</section>
<section title="Septimal vulture">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>33554432/33480783</ratio>
</commas>
<mapping legend="1">
<row>1 0 -6 25</row>
<row>0 4 21 -56</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>5632/5625</ratio>
<ratio>41503/41472</ratio>
</commas>
<mapping>
<row>1 0 -6 25 -33</row>
<row>0 4 21 -56 92</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>4096/4095</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>1 0 -6 25 -33 -7</row>
<row>0 4 21 -56 92 27</row>
</mapping>
</section>
<section title="2.3.5.7.11.13.19 subgroup">
<subgroup>2.3.5.7.11.13.19</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>1216/1215</ratio>
<ratio>1540/1539</ratio>
<ratio>1729/1728</ratio>
</commas>
<mapping>
<row>1 0 -6 25 -33 -7 -12</row>
<row>0 4 21 -56 92 27 41</row>
</mapping>
</section>
</section>
<section title="Semivulture">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4375/4374</ratio>
<ratio>33554432/33480783</ratio>
</commas>
<mapping>
<row>2 0 -12 50 41</row>
<row>0 4 21 -56 -43</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>3025/3024</ratio>
<ratio>4096/4095</ratio>
<ratio>4375/4374</ratio>
</commas>
<mapping>
<row>2 0 -12 50 41 -14</row>
<row>0 4 21 -56 -43 27</row>
</mapping>
</section>
</section>
</section>
<section title="Terture">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>250047/250000</ratio>
<ratio>359661568/358722675</ratio>
</commas>
<mapping legend="1">
<row>3 0 -18 -32</row>
<row>0 4 21 34</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>19712/19683</ratio>
<ratio>102487/102400</ratio>
</commas>
<mapping>
<row>3 0 -18 -32 8</row>
<row>0 4 21 34 2</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>3025/3024</ratio>
<ratio>10985/10976</ratio>
</commas>
<mapping>
<row>3 0 -18 -32 8 -21</row>
<row>0 4 21 34 2 27</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1001/1000</ratio>
<ratio>4928/4913</ratio>
</commas>
<mapping>
<row>3 0 -18 -32 8 -21 -2</row>
<row>0 4 21 34 2 27 12</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1001/1000</ratio>
<ratio>1216/1215</ratio>
<ratio>1617/1615</ratio>
</commas>
<mapping>
<row>3 0 -18 -32 8 -21 -2 -36</row>
<row>0 4 21 34 2 27 12 41</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>460/459</ratio>
<ratio>529/528</ratio>
<ratio>676/675</ratio>
<ratio>715/714</ratio>
<ratio>936/935</ratio>
<ratio>1001/1000</ratio>
<ratio>1216/1215</ratio>
</commas>
<mapping>
<row>3 0 -18 -32 8 -21 -2 -36 10</row>
<row>0 4 21 34 2 27 12 41 3</row>
</mapping>
</section>
</section>
<section title="Condor">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>40353607/40000000</ratio>
</commas>
<mapping legend="1">
<row>1 -4 -27 -20</row>
<row>0 12 63 49</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4000/3993</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 -4 -27 -20 -24</row>
<row>0 12 63 49 59</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 -4 -27 -20 -24 -34</row>
<row>0 12 63 49 59 81</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>676/675</ratio>
<ratio>8624/8619</ratio>
</commas>
<mapping>
<row>1 -4 -27 -20 -24 -34 12</row>
<row>0 12 63 49 59 81 -17</row>
</mapping>
</section>
</section>
<section title="Eagle">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>10485760000/10460353203</ratio>
</commas>
<mapping legend="1">
<row>2 4 9 8</row>
<row>0 -8 -42 -23</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>9801/9800</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>2 4 9 8 12</row>
<row>0 -8 -42 -23 -49</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>10648/10647</ratio>
</commas>
<mapping>
<row>2 4 9 8 12 13</row>
<row>0 -8 -42 -23 -49 -54</row>
</mapping>
</section>
</section>
<section title="Turkey">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4802000/4782969</ratio>
<ratio>5250987/5242880</ratio>
</commas>
<mapping legend="1">
<row>1 -8 -48 7</row>
<row>0 16 84 -7</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>19712/19683</ratio>
<ratio>42875/42768</ratio>
<ratio>160083/160000</ratio>
</commas>
<mapping>
<row>1 -8 -48 7 -87</row>
<row>0 16 84 -7 151</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>19712/19683</ratio>
<ratio>31213/31104</ratio>
</commas>
<mapping>
<row>1 -8 -48 7 -87 -61</row>
<row>0 16 84 -7 151 108</row>
</mapping>
</section>
</section>
</section>
<section title="Werckismic temperaments">
<section title="History">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>4000/3993</ratio>
</commas>
<mapping legend="1">
<row>1 2 0 0 1</row>
<row>0 -6 0 7 2</row>
<row>0 0 1 1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
</commas>
<mapping>
<row>1 2 0 0 1 2</row>
<row>0 -6 0 7 2 -9</row>
<row>0 0 1 1 1 1</row>
</mapping>
</section>
</section>
<section title="Varuna">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>8019/8000</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 9 12</row>
<row>0 1 0 -4 -6</row>
<row>0 0 1 2 3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
</commas>
<mapping>
<row>2 0 0 9 12 11</row>
<row>0 1 0 -4 -6 -7</row>
<row>0 0 1 2 3 4</row>
</mapping>
</section>
</section>
<section title="Trimyna">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>3388/3375</ratio>
</commas>
<mapping legend="1">
<row>1 -1 0 1 -3</row>
<row>0 5 0 -1 8</row>
<row>0 0 1 1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>196/195</ratio>
<ratio>352/351</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 -1 0 1 -3 5</row>
<row>0 5 0 -1 8 -7</row>
<row>0 0 1 1 1 1</row>
</mapping>
</section>
<section title="Trimy">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>676/675</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 -6 0 2 -11 -10</row>
<row>0 10 0 -2 16 15</row>
<row>0 0 1 1 1 1</row>
</mapping>
</section>
</section>
<section title="Seminaiad">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>1127357/1125000</ratio>
</commas>
<mapping legend="1">
<row>1 5 0 -2 3</row>
<row>0 -11 0 8 -6</row>
<row>0 0 1 1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 5 0 -2 3 2</row>
<row>0 -11 0 8 -6 -2</row>
<row>0 0 1 1 1 1</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>170/169</ratio>
<ratio>221/220</ratio>
<ratio>441/440</ratio>
<ratio>847/845</ratio>
</commas>
<mapping>
<row>1 5 0 -2 3 2 3</row>
<row>0 -11 0 8 -6 -2 -4</row>
<row>0 0 1 1 1 1 1</row>
</mapping>
</section>
<section title="Seminaiadia">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>833/832</ratio>
<ratio>847/845</ratio>
<ratio>1001/1000</ratio>
</commas>
<mapping>
<row>1 5 0 -2 3 2 12</row>
<row>0 -11 0 8 -6 -2 -18</row>
<row>0 0 1 1 1 1 -1</row>
</mapping>
</section>
</section>
</section>
<section title="References"/>
</section>
<section title="Wesley family">
<section title="Wesley">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>78125/73728</ratio>
</commas>
<mapping legend="1">
<row>1 4 3</row>
<row>0 -7 -2</row>
</mapping>
</section>
<section title="Septimal wesley">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>405/392</ratio>
<ratio>875/864</ratio>
</commas>
<mapping legend="1">
<row>1 4 3 8</row>
<row>0 -7 -2 -15</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>99/98</ratio>
<ratio>875/864</ratio>
</commas>
<mapping>
<row>1 4 3 8 9</row>
<row>0 -7 -2 -15 -16</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>45/44</ratio>
<ratio>78/77</ratio>
<ratio>99/98</ratio>
<ratio>325/324</ratio>
</commas>
<mapping>
<row>1 4 3 8 9 12</row>
<row>0 -7 -2 -15 -16 -24</row>
</mapping>
</section>
</section>
<section title="Snipes">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>6125/5832</ratio>
</commas>
<mapping legend="1">
<row>1 4 3 9</row>
<row>0 -7 -2 -18</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>55/54</ratio>
<ratio>225/224</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 4 3 9 10</row>
<row>0 -7 -2 -18 -19</row>
</mapping>
</section>
</section>
<section title="Roman">
<section title="7-limit a.k.a. crusher">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>525/512</ratio>
<ratio>3125/3024</ratio>
</commas>
<mapping legend="1">
<row>1 4 3 -1</row>
<row>0 -7 -2 11</row>
</mapping>
</section>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>100/99</ratio>
<ratio>245/242</ratio>
<ratio>525/512</ratio>
</commas>
<mapping>
<row>1 4 3 -1 0</row>
<row>0 -7 -2 11 10</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>65/64</ratio>
<ratio>100/99</ratio>
<ratio>105/104</ratio>
<ratio>245/242</ratio>
</commas>
<mapping>
<row>1 4 3 -1 0 3</row>
<row>0 -7 -2 11 10 2</row>
</mapping>
</section>
</section>
<section title="Dubbla">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>78125/73728</ratio>
</commas>
<mapping legend="1">
<row>2 1 4 5</row>
<row>0 7 2 2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>125/121</ratio>
<ratio>1344/1331</ratio>
</commas>
<mapping>
<row>2 1 4 5 6</row>
<row>0 7 2 2 3</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>50/49</ratio>
<ratio>105/104</ratio>
<ratio>125/121</ratio>
<ratio>144/143</ratio>
</commas>
<mapping>
<row>2 1 4 5 6 4</row>
<row>0 7 2 2 3 11</row>
</mapping>
</section>
</section>
</section>
<section title="W&#xFC;rschmidt family">
<section title="W&#xFC;rschmidt">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>393216/390625</ratio>
</commas>
<mapping legend="1">
<row>1 -1 2</row>
<row>0 8 1</row>
</mapping>
<section title="Overview to extensions">
<section title="7-limit extensions"/>
<section title="Subgroup extensions"/>
</section>
<section title="2.3.5.23 subgroup">
<subgroup>2.3.5.23</subgroup>
<commas>
<ratio>576/575</ratio>
<ratio>12167/12150</ratio>
</commas>
<mapping>
<row>1 -1 2 0</row>
<row>0 8 1 14</row>
</mapping>
<section title="2.3.5.11.23 subgroup">
<subgroup>2.3.5.11.23</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>276/275</ratio>
<ratio>529/528</ratio>
</commas>
<mapping>
<row>1 -1 2 -3 0</row>
<row>0 8 1 20 14</row>
</mapping>
</section>
</section>
</section>
<section title="Septimal w&#xFC;rschmidt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>8748/8575</ratio>
</commas>
<mapping legend="1">
<row>1 -1 2 -3</row>
<row>0 8 1 18</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>176/175</ratio>
<ratio>243/242</ratio>
</commas>
<mapping>
<row>1 -1 2 -3 -3</row>
<row>0 8 1 18 20</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>99/98</ratio>
<ratio>144/143</ratio>
<ratio>176/175</ratio>
<ratio>275/273</ratio>
</commas>
<mapping>
<row>1 -1 2 -3 -3 5</row>
<row>0 8 1 18 20 -4</row>
</mapping>
</section>
<section title="Worseschmidt">
<subgroup>2.3.5.7.11.13</subgroup>
<mapping>
<row>1 -1 2 -3 -3 -5</row>
<row>0 8 1 18 20 27</row>
</mapping>
<commas>
<ratio>66/65</ratio>
<ratio>99/98</ratio>
<ratio>105/104</ratio>
<ratio>243/242</ratio>
</commas>
</section>
</section>
</section>
<section title="Worschmidt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>33075/32768</ratio>
</commas>
<mapping legend="1">
<row>1 -1 2 7</row>
<row>0 8 1 -13</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>1 -1 2 7 -3</row>
<row>0 8 1 -13 20</row>
</mapping>
</section>
</section>
<section title="Whirrschmidt">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4375/4374</ratio>
<ratio>393216/390625</ratio>
</commas>
<mapping legend="1">
<row>1 -1 2 -14</row>
<row>0 8 1 52</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>896/891</ratio>
<ratio>4375/4356</ratio>
</commas>
<mapping>
<row>1 -1 2 -14 -3</row>
<row>0 8 1 52 20</row>
</mapping>
</section>
</section>
</section>
<section title="Quintosec family">
<section title="Quintosec">
<subgroup>2.3.5</subgroup>
<commas>
<monzo>47 -15 -10</monzo>
</commas>
<mapping legend="1">
<row>5 1 22</row>
<row>0 2 -3</row>
</mapping>
<section title="2.3.5.11 subgroup">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>5632/5625</ratio>
<ratio>26214400/26198073</ratio>
</commas>
<mapping>
<row>5 1 22 45</row>
<row>0 2 -3 -8</row>
</mapping>
</section>
</section>
<section title="Qintosec">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>2560000/2470629</ratio>
</commas>
<mapping legend="1">
<row>5 1 22 21</row>
<row>0 2 -3 -2</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>243/242</ratio>
<ratio>3840/3773</ratio>
</commas>
<mapping>
<row>5 1 22 21 0</row>
<row>0 2 -3 -2 5</row>
</mapping>
</section>
<section title="Qinto">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>225/224</ratio>
<ratio>385/384</ratio>
<ratio>332750/321489</ratio>
</commas>
<mapping>
<row>5 1 22 21 -7</row>
<row>0 2 -3 -2 7</row>
</mapping>
</section>
</section>
<section title="Sengasec">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>686/675</ratio>
<ratio>16807/16384</ratio>
</commas>
<mapping legend="1">
<row>5 1 22 14</row>
<row>0 2 -3 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>243/242</ratio>
<ratio>385/384</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>5 1 22 14 0</row>
<row>0 2 -3 0 5</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>105/104</ratio>
<ratio>144/143</ratio>
<ratio>243/242</ratio>
<ratio>686/675</ratio>
</commas>
<mapping>
<row>5 1 22 14 0 22</row>
<row>0 2 -3 0 5 -1</row>
</mapping>
</section>
</section>
<section title="Decoid">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>67108864/66976875</ratio>
</commas>
<mapping legend="1">
<row>10 0 47 36</row>
<row>0 2 -3 -1</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>5632/5625</ratio>
<ratio>9801/9800</ratio>
</commas>
<mapping>
<row>10 0 47 36 98</row>
<row>0 2 -3 -1 -8</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>1001/1000</ratio>
<ratio>1716/1715</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>10 0 47 36 98 37</row>
<row>0 2 -3 -1 -8 0</row>
</mapping>
</section>
</section>
<section title="Triacontoid">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>2401/2400</ratio>
<ratio>42592/42525</ratio>
<ratio>1771561/1769472</ratio>
</commas>
<mapping>
<row>30 0 141 108 80</row>
<row>0 2 -3 -1 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>676/675</ratio>
<ratio>2401/2400</ratio>
<ratio>4096/4095</ratio>
<ratio>6656/6655</ratio>
</commas>
<mapping>
<row>30 0 141 108 80 111</row>
<row>0 2 -3 -1 1 0</row>
</mapping>
</section>
</section>
</section>
<section title="Notes"/>
</section>
<section title="Trisedodge family">
<section title="Trisedodge">
<subgroup>2.3.5</subgroup>
<commas>
<ratio>30958682112/30517578125</ratio>
</commas>
<mapping legend="1">
<row>5 1 7</row>
<row>0 3 2</row>
</mapping>
<section title="Countdown">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>4000/3993</ratio>
<ratio>6912/6875</ratio>
</commas>
<mapping>
<row>5 1 7 15</row>
<row>0 3 2 1</row>
</mapping>
</section>
</section>
<section title="Septimal trisedodge">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4000/3969</ratio>
<ratio>110592/109375</ratio>
</commas>
<mapping legend="1">
<row>5 1 7 21</row>
<row>0 3 2 -3</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>1331/1323</ratio>
<ratio>2560/2541</ratio>
</commas>
<mapping>
<row>5 1 7 21 15</row>
<row>0 3 2 -3 1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>1040/1029</ratio>
<ratio>1331/1323</ratio>
</commas>
<mapping>
<row>5 1 7 21 15 37</row>
<row>0 3 2 -3 1 -8</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>1040/1029</ratio>
<ratio>1331/1323</ratio>
<ratio>256/255</ratio>
</commas>
<mapping>
<row>5 1 7 21 15 37 32</row>
<row>0 3 2 -3 1 -8 -5</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>1040/1029</ratio>
<ratio>1331/1323</ratio>
<ratio>256/255</ratio>
<ratio>190/189</ratio>
</commas>
<mapping>
<row>5 1 7 21 15 37 32 12</row>
<row>0 3 2 -3 1 -8 -5 4</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>1040/1029</ratio>
<ratio>1331/1323</ratio>
<ratio>256/255</ratio>
<ratio>190/189</ratio>
<ratio>253/252</ratio>
</commas>
<mapping>
<row>5 1 7 21 15 37 32 12 18</row>
<row>0 3 2 -3 1 -8 -5 4 2</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>351/350</ratio>
<ratio>1040/1029</ratio>
<ratio>1331/1323</ratio>
<ratio>256/255</ratio>
<ratio>190/189</ratio>
<ratio>253/252</ratio>
<ratio>232/231</ratio>
</commas>
<mapping>
<row>5 1 7 21 15 37 32 12 18 22</row>
<row>0 3 2 -3 1 -8 -5 4 2 1</row>
</mapping>
</section>
<section title="Trisey">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>176/175</ratio>
<ratio>325/324</ratio>
<ratio>364/363</ratio>
<ratio>640/637</ratio>
</commas>
<mapping>
<row>5 1 7 21 15 0</row>
<row>0 3 2 -3 1 8</row>
</mapping>
</section>
</section>
</section>
<section title="Coblack">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>16807/16384</ratio>
</commas>
<mapping legend="1">
<row>5 1 7 14</row>
<row>0 3 2 0</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>126/125</ratio>
<ratio>245/242</ratio>
<ratio>385/384</ratio>
</commas>
<mapping>
<row>5 1 7 14 15</row>
<row>0 3 2 0 1</row>
</mapping>
</section>
</section>
<section title="References"/>
</section>
<section title="Garischismic clan">
<section title="Gary">
<subgroup>2.3.7</subgroup>
<commas>
<ratio>33554432/33480783</ratio>
</commas>
<mapping legend="2">
<row>1 0 25</row>
<row>0 1 -14</row>
</mapping>
<section title="Overview to extensions"/>
<section title="2.3.7.11 subgroup">
<subgroup>2.3.7.11</subgroup>
<commas>
<ratio>19712/19683</ratio>
<ratio>41503/41472</ratio>
</commas>
<mapping>
<row>1 0 25 -33</row>
<row>0 1 -14 23</row>
</mapping>
</section>
</section>
<section title="Cotoneum">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>10976/10935</ratio>
<ratio>823543/819200</ratio>
</commas>
<mapping legend="1">
<row>1 0 80 25</row>
<row>0 1 -49 -14</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>441/440</ratio>
<ratio>10976/10935</ratio>
<ratio>16384/16335</ratio>
</commas>
<mapping>
<row>1 0 80 25 -33</row>
<row>0 1 -49 -14 23</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>3584/3575</ratio>
<ratio>10976/10935</ratio>
</commas>
<mapping>
<row>1 0 80 25 -33 -93</row>
<row>0 1 -49 -14 23 61</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>3584/3575</ratio>
<ratio>8281/8262</ratio>
</commas>
<mapping>
<row>1 0 80 25 -33 -93 -137</row>
<row>0 1 -49 -14 23 61 89</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>343/342</ratio>
<ratio>364/363</ratio>
<ratio>441/440</ratio>
<ratio>595/594</ratio>
<ratio>1216/1215</ratio>
<ratio>1729/1728</ratio>
</commas>
<mapping>
<row>1 0 80 25 -33 -93 -137 74</row>
<row>0 1 -49 -14 23 61 89 -44</row>
</mapping>
</section>
</section>
<section title="World calendar">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>390625/388962</ratio>
<ratio>33554432/33480783</ratio>
</commas>
<mapping legend="1">
<row>4 1 -44 86</row>
<row>0 2 -13 -28</row>
</mapping>
<section title="2.3.5.7.17 subgroup">
<subgroup>2.3.5.7.17</subgroup>
<commas>
<ratio>2025/2023</ratio>
<ratio>24576/24565</ratio>
<ratio>390625/388962</ratio>
</commas>
<mapping>
<row>4 1 -44 86 3</row>
<row>0 2 -13 -28 5</row>
</mapping>
</section>
<section title="2.3.5.7.17.19 subgroup">
<subgroup>2.3.5.7.17.19</subgroup>
<commas>
<ratio>1216/1215</ratio>
<ratio>2025/2023</ratio>
<ratio>8075/8064</ratio>
<ratio>48013/48000</ratio>
</commas>
<mapping>
<row>4 1 -44 86 3 25</row>
<row>0 2 -13 -28 5 -3</row>
</mapping>
</section>
</section>
</section>
<section title="Canou family">
<section title="Canou">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4802000/4782969</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1</row>
<row>0 1 2 2</row>
<row>0 0 -4 3</row>
</mapping>
</section>
<section title="Undecimal canou">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>19712/19683</ratio>
<ratio>42875/42768</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 -7</row>
<row>0 1 2 2 7</row>
<row>0 0 -4 3 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>2080/2079</ratio>
<ratio>19712/19683</ratio>
<ratio>42875/42768</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -7 -13</row>
<row>0 1 2 2 7 10</row>
<row>0 0 -4 3 -3 4</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>833/832</ratio>
<ratio>1156/1155</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -7 -13 -5</row>
<row>0 1 2 2 7 10 6</row>
<row>0 0 -4 3 -3 4 -2</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>833/832</ratio>
<ratio>969/968</ratio>
<ratio>1156/1155</ratio>
<ratio>1216/1215</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -7 -13 -5 -6</row>
<row>0 1 2 2 7 10 6 7</row>
<row>0 0 -4 3 -3 4 -2 -4</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>760/759</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>969/968</ratio>
<ratio>1156/1155</ratio>
</commas>
<mapping>
<row>1 0 0 -1 -7 -13 -5 -6 4</row>
<row>0 1 2 2 7 10 6 7 1</row>
<row>0 0 -4 3 -3 4 -2 -4 -5</row>
</mapping>
</section>
</section>
<section title="Canta">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>896/891</ratio>
<ratio>472392/471625</ratio>
</commas>
<mapping legend="1">
<row>1 0 0 -1 6</row>
<row>0 1 2 2 -2</row>
<row>0 0 4 -3 -3</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>364/363</ratio>
<ratio>472392/471625</ratio>
</commas>
<mapping>
<row>1 0 0 -1 6 11</row>
<row>0 1 2 2 -2 -5</row>
<row>0 0 4 -3 -3 -3</row>
</mapping>
</section>
</section>
<section title="Semicanou">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>9801/9800</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping legend="1">
<row>2 0 0 -2 1</row>
<row>0 1 2 2 2</row>
<row>0 0 -4 3 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1716/1715</ratio>
<ratio>2080/2079</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 0 0 -2 1 -11</row>
<row>0 1 2 2 2 5</row>
<row>0 0 -4 3 -1 6</row>
</mapping>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>1089/1088</ratio>
<ratio>1225/1224</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 0 0 -2 1 -11 -10</row>
<row>0 1 2 2 2 5 6</row>
<row>0 0 -4 3 -1 6 -2</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>715/714</ratio>
<ratio>1089/1088</ratio>
<ratio>1216/1215</ratio>
<ratio>1225/1224</ratio>
<ratio>1445/1444</ratio>
</commas>
<mapping>
<row>2 0 0 -2 1 -11 -10 -12</row>
<row>0 1 2 2 2 5 6 7</row>
<row>0 0 -4 3 -1 6 -2 -4</row>
</mapping>
</section>
</section>
<section title="Semicanoumint">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>352/351</ratio>
<ratio>9801/9800</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>2 0 0 -2 1 11</row>
<row>0 1 2 2 2 -1</row>
<row>0 0 -4 3 -1 -1</row>
</mapping>
</section>
<section title="Semicanouwolf">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>351/350</ratio>
<ratio>364/363</ratio>
<ratio>11011/10935</ratio>
</commas>
<mapping>
<row>2 0 0 -2 1 0</row>
<row>0 1 2 2 2 3</row>
<row>0 0 -4 3 -1 -5</row>
</mapping>
</section>
</section>
</section>
<section title="Canousmic temperaments">
<section title="Satin">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>2100875/2097152</ratio>
<ratio>4802000/4782969</ratio>
</commas>
<mapping legend="1">
<row>1 2 12 -3</row>
<row>0 -3 -70 42</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>4000/3993</ratio>
<ratio>19712/19683</ratio>
<ratio>41503/41472</ratio>
</commas>
<mapping>
<row>1 2 12 -3 13</row>
<row>0 -3 -70 42 -69</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1575/1573</ratio>
<ratio>2080/2079</ratio>
<ratio>4096/4095</ratio>
<ratio>13720/13689</ratio>
</commas>
<mapping>
<row>1 2 12 -3 13 -1</row>
<row>0 -3 -70 42 -69 34</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>833/832</ratio>
<ratio>1156/1155</ratio>
<ratio>1575/1573</ratio>
<ratio>4096/4095</ratio>
</commas>
<mapping>
<row>1 2 12 -3 13 -1 11</row>
<row>0 -3 -70 42 -69 34 -50</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>833/832</ratio>
<ratio>969/968</ratio>
<ratio>1156/1155</ratio>
<ratio>1216/1215</ratio>
<ratio>1575/1573</ratio>
</commas>
<mapping>
<row>1 2 12 -3 13 -1 11 16</row>
<row>0 -3 -70 42 -69 34 -50 -85</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>760/759</ratio>
<ratio>833/832</ratio>
<ratio>875/874</ratio>
<ratio>969/968</ratio>
<ratio>1105/1104</ratio>
<ratio>1156/1155</ratio>
</commas>
<mapping>
<row>1 2 12 -3 13 -1 11 16 16</row>
<row>0 -3 -70 42 -69 34 -50 -85 -83</row>
</mapping>
</section>
</section>
<section title="Superlimmal">
<subgroup>2.3.5.7</subgroup>
<commas>
<ratio>4802000/4782969</ratio>
<ratio>52734375/52706752</ratio>
</commas>
<mapping legend="1">
<row>1 8 12 18</row>
<row>0 -57 -86 -135</row>
</mapping>
<section title="11-limit">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>1479016/1476225</ratio>
</commas>
<mapping>
<row>1 8 12 18 11</row>
<row>0 -57 -86 -135 -67</row>
</mapping>
</section>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>3025/3024</ratio>
<ratio>4000/3993</ratio>
<ratio>4225/4224</ratio>
<ratio>4459/4455</ratio>
</commas>
<mapping>
<row>1 8 12 18 11 1</row>
<row>0 -57 -86 -135 -67 24</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>1275/1274</ratio>
<ratio>2500/2499</ratio>
<ratio>3025/3024</ratio>
<ratio>4225/4224</ratio>
</commas>
<mapping>
<row>1 8 12 18 11 1 6</row>
<row>0 -57 -86 -135 -67 24 -17</row>
</mapping>
</section>
<section title="19-limit">
<subgroup>2.3.5.7.11.13.17.19</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>969/968</ratio>
<ratio>1275/1274</ratio>
<ratio>1445/1444</ratio>
<ratio>1729/1728</ratio>
<ratio>2500/2499</ratio>
</commas>
<mapping>
<row>1 8 12 18 11 1 6 11</row>
<row>0 -57 -86 -135 -67 24 -17 -60</row>
</mapping>
</section>
<section title="23-limit">
<subgroup>2.3.5.7.11.13.17.19.23</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>760/759</ratio>
<ratio>969/968</ratio>
<ratio>1105/1104</ratio>
<ratio>1275/1274</ratio>
<ratio>1445/1444</ratio>
<ratio>1496/1495</ratio>
</commas>
<mapping>
<row>1 8 12 18 11 1 6 11 7</row>
<row>0 -57 -86 -135 -67 24 -17 -60 -22</row>
</mapping>
</section>
<section title="29-limit">
<subgroup>2.3.5.7.11.13.17.19.23.29</subgroup>
<commas>
<ratio>595/594</ratio>
<ratio>760/759</ratio>
<ratio>784/783</ratio>
<ratio>969/968</ratio>
<ratio>1045/1044</ratio>
<ratio>1105/1104</ratio>
<ratio>1275/1274</ratio>
<ratio>1496/1495</ratio>
</commas>
<mapping>
<row>1 8 12 18 11 1 6 11 7 16</row>
<row>0 -57 -86 -135 -67 24 -17 -60 -22 -99</row>
</mapping>
</section>
</section>
</section>
<section title="Semicanousmic clan">
<section title="Deuteromere">
<subgroup>2.3.5.11</subgroup>
<commas>
<ratio>14641/14580</ratio>
</commas>
<mapping legend="2">
<row>1 0 2 1</row>
<row>0 1 2 2</row>
<row>0 0 -4 -1</row>
</mapping>
<section title="2.3.5.11.17 subgroup">
<subgroup>2.3.5.11.17</subgroup>
<commas>
<ratio>1089/1088</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 0 2 1 -4</row>
<row>0 1 2 2 6</row>
<row>0 0 -4 -1 -2</row>
</mapping>
</section>
<section title="2.3.5.11.17.19 subgroup">
<subgroup>2.3.5.11.17.19</subgroup>
<commas>
<ratio>1089/1088</ratio>
<ratio>1216/1215</ratio>
<ratio>1445/1444</ratio>
</commas>
<mapping>
<row>1 0 2 1 -4 -4</row>
<row>0 1 2 2 6 7</row>
<row>0 0 -4 -1 -2 -4</row>
</mapping>
</section>
</section>
<section title="Syndeute">
<subgroup>2.3.5.7.11</subgroup>
<commas>
<ratio>14641/14580</ratio>
<ratio>19712/19683</ratio>
</commas>
<mapping legend="1">
<row>1 0 2 -9 1</row>
<row>0 1 2 7 2</row>
<row>0 0 -4 1 -1</row>
</mapping>
<section title="13-limit">
<subgroup>2.3.5.7.11.13</subgroup>
<commas>
<ratio>1573/1568</ratio>
<ratio>2080/2079</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 0 2 -9 1 -15</row>
<row>0 1 2 7 2 10</row>
<row>0 0 -4 1 -1 4</row>
</mapping>
</section>
<section title="17-limit">
<subgroup>2.3.5.7.11.13.17</subgroup>
<commas>
<ratio>442/441</ratio>
<ratio>561/560</ratio>
<ratio>715/714</ratio>
<ratio>14641/14580</ratio>
</commas>
<mapping>
<row>1 0 2 -9 1 -15 -4</row>
<row>0 1 2 7 2 10 6</row>
<row>0
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