Utility to name Forte's pitch class sets. Generate a portable script from a TSV file of PCS data using Python's metaprogramming capabilities. Sample output of gen_pcs_script.py included. Sample usage: python gen_pcs_script.py pitch_classes.tsv; python pitch_class_set.py A C# B

gen_pcs_script.py

#! /usr/bin/python

import csv
import inspect

__pcs_export = set()

def pcs_function(f):
    __pcs_export.add(f)

all_sets = {}

def parse_tsv(fh, ignore_header=True):
    reader = csv.reader(fh, dialect='excel-tab')
    for row in reader:
        if ignore_header:
            ignore_header = False
        else:
            yield row

def forte_sets_from_file(fh):
    sets = {}
    bad_lines, curr_line = [], 1
    for values in parse_tsv(fh):
        try:
            # Unpack values
            index, name, prime, vector, description = values
            sets[prime] = (name, vector, description)
        except ValueError:
            bad_lines.append(curr_line)
        curr_line += 1
    return (sets, bad_lines)

def write_text_block(fh, text):
    fh.write(text + '\n\n')

def write_function(fh, fn):
    func_body = inspect.getsource(fn)
    func_body = func_body.replace('@pcs_function', '').strip() # Remove the @pcs_function decorator
    write_text_block(fh, func_body)

@pcs_function
def normalize(n):
    return n % 12

@pcs_function
def increment_pitch(n, increment=1):
    return normalize(n + increment)

@pcs_function
def decrement_pitch(n, decrement=1):
    return increment_pitch(n, -1 * decrement)

@pcs_function
def parse_note_name(pitch_str):
    class NoteNameError(Exception):
        def __init__(self):
            Exception.__init__(self, 'Invalid note name "{0}"'.format(pitch_str))
    names = { 
        'C': 0,
        'D': 2,
        'E': 4,
        'F': 5,
        'G': 7,
        'A': 9,
        'B': 11
    }
    n = 0
    pitch_clean = pitch_str.upper().strip()
    try:
        pitch_char = pitch_clean[0]
        n = names[pitch_char]
        for i in xrange(1, len(pitch_clean)):
            if pitch_clean[i] == '#':
                n = increment_pitch(n)
            elif pitch_clean[i] == 'B': # As in b, notation for flat
                n = decrement_pitch(n)
            else:
                raise NoteNameError()
    except:
        raise NoteNameError()
    return n

@pcs_function
def invert_set(pcs):
    largest = max(pcs)
    return sorted(map(lambda n: decrement_pitch(largest, n), pcs))

@pcs_function
def candidate_sets(pcs):
    ordered = sorted(pcs)
    n = len(ordered)
    # Find the "break" (largest gap in the set) and normalize by it
    idx, splitter = max(enumerate(ordered), key=lambda (idx, val): decrement_pitch(val, ordered[(idx - 1) % n]))
    rotated = sorted(map(lambda n: decrement_pitch(n, splitter), ordered))
    return [ rotated, invert_set(rotated) ]

@pcs_function
def __pcs_main(argv):
    import argparse
    parser = argparse.ArgumentParser()
    parser.add_argument('pitches', nargs='+')
    args = parser.parse_args()
    
    raw_set = set()
    for token in args.pitches:
        pitch = parse_note_name(token)
        raw_set.add(pitch)
    for pcs in candidate_sets(raw_set):
        str_pcs = map(str, pcs)
        encoded = ''.join(str_pcs)
        if encoded in all_sets:
            print '\t'.join(all_sets[encoded])
            return 0
    print 'Failed to find match for pitch class set.'
    return 1

def __gen_main(argv):
    import argparse
    parser = argparse.ArgumentParser()
    parser.add_argument('tsvfile')
    parser.add_argument('outputfile', nargs='?', default='pitch_class_set.py')
    args = parser.parse_args()
    
    with open(args.tsvfile) as fh:
        all_sets, error_lines = forte_sets_from_file(fh)
        if error_lines:
            str_lines = map(str, error_lines)
            print 'Error reading the following lines from the TSV: {0}'.format(','.join(str_lines))
    print 'Successfully read {0} pitch class sets.'.format(len(all_sets))
    
    with open(args.outputfile, 'w') as out:
       write_text_block(
               out,
               '#! /usr/bin/python'
       )
       write_text_block(
               out, 
               'all_sets = ' + all_sets.__repr__()
       )
       for fn in __pcs_export:
           write_function(out, fn)
       write_text_block(
               out,
               'if __name__=="__main__": import sys; __pcs_main(sys.argv)'
       )

if __name__ == "__main__":
    import sys
    __gen_main(sys.argv)

pitch_class_set.py

#! /usr/bin/python

all_sets = {'0123469': ('7-10', '445332', ''), '0123468': ('7-9', '453432', ''), '04567': ('5-5B', '321121', 'Major-third Pentacluster.1'), '0123589': ('7-Z18<..38', '434442', ''), '0123467': ('7-4', '544332', ''), '013679': ('6-30 (6)', '224223', 'Minor-bitonal Hexachord/comb R (6), I (5,b)'), '013678': ('6-18B', '322242', 'comb I (5)'), '012': ('3-1*', '210000', 'BACH /Chromatic Trimirror'), '013': ('3-2', '111000', 'Phrygian Trichord'), '014': ('3-3', '101100', 'Major-minor Trichord.1'), '015': ('3-4', '100110', 'Incomplete Major-seventh Chord.1'), '016': ('3-5', '100011', 'Rite chord.2, Tritone-fourth.1'), '012358': ('6-Z40..11B', '333231', ''), '012357': ('6-9', '342231', 'comb I (b)'), '012356': ('6-Z3..36B', '433221', ''), '0': ('1-1*', '000000', 'Unison'), '01234589': ('8-7*', '645652', ''), '02478': ('5-30B', '121321', 'Enigmatic Pentachord.2, Altered Pentatonic (14223)'), '02479': ('5-35*', '032140', 'Black Key Pentatonic/Slendro/Bilahariraga/Quartal Pentamirror, Yo (23232)'), '012456789': ('9-4B', '766773', ''), '01234789': ('8-8*', '644563', ''), '014689': ('6-31B', '223431', 'comb I (b)'), '01257': ('5-14', '221131', 'Double-seconds Triple-fourth Pentachord.1'), '01256': ('5-6', '311221', 'Oriental Pentacluster.1, Raga Megharanji (13161)'), '01258': ('5-Z38..18', '212221', 'Diminished Pentacluster.1'), '02345689': ('8-12B<', '556543', ''), '01235678': ('8-6*', '654463', ''), '01235679': ('8-Z29..15', '555553', ''), '012678': ('6-7* (6)', '420243', "Messiaen's mode 5 (114114), 2nd ord.all-comb(P3+9,I5,Ib,R6,RI2+8)"), '01235678A': ('9-9*', '676683', 'Raga Ramdasi Malhar (r2) (211122111)'), '0234578': ('7-11B', '444441', ''), '0234579': ('7-23', '354351', ''), '01457': ('5-Z18<..38', '212221', 'Gypsy Pentachord.1'), '02358': ('5-25', '123121', 'Diminished-major Ninth Chord'), '0124789': ('7-20', '433452', 'Chromatic Phrygian inverse (1123113)'), '0123456789': ('10-1*', '988884', 'Chromatic Decamirror'), '02357': ('5-23', '132130', 'Minor Pentachord'), '01458': ('5-21', '202420', 'Syrian Pentatonic/Major-augmented Ninth Chord, Raga Megharanji (13134)'), '0135789': ('7-30B', '343542', ''), '012345678A': ('10-2*', '898884', ''), '012356789': ('9-5B', '766674', ''), '0134567': ('7-4B', '544332', ''), '0134568': ('7-11', '444441', ''), '0134569': ('7-16B', '435432', ''), '0235789': ('7-29B', '344352', ''), '0125789': ('7-20B', '433452', 'Pantuvarali Raga (1321131), Chromatic Mixolydian (1131132), Chromatic Dorian/Mela Kanakangi (1132113)'), '01235689A': ('9-11B', '667773', 'Diminishing Nonachord'), '056': ('3-5B', '100011', 'Rite chord.1, Tritone-fourth.2'), '0258': ('4-27', '012111', 'Half-diminished Seventh Chord'), '0145678': ('7-6B', '533442', ''), '0124567': ('7-5B', '543342', ''), '014589': ('6-20*(4)', '303630', 'Augmented scale, Genus tertium, 3rd ord. all-comb (P2+6+10, I3+7+b, R4+8, RI1+5+9)'), '0245789': ('7-27B', '344451', 'Modified Blues mode (2121132)'), '0124569': ('7-Z17*..37', '434541', ''), '0124579A': ('8-26*', '456562', 'Spanish Phrygian (r9) (12112122)/ Blues mode.2 (21211212)'), '034567': ('6-Z36B..3', '433221', ''), '03678': ('5-Z38B..18', '212221', 'Diminished Pentacluster.2'), '0123579A': ('8-22B', '465562', 'Spanish Octatonic Scale (r9) (12111222)'), '034568': ('6-Z39B..10B', '333321', ''), '02346789': ('8-Z29B..15', '555553', ''), '024578': ('6-Z24B..46', '233331', 'Melodic-minor Hexachord'), '024579': ('6-32*', '143250', 'Arezzo major Diatonic (221223), major hexamirror, quartal hexamirror, 1st ord.all-comb P (6), I (3), RI (9)'), '01234689A': ('9-8B', '676764', ''), '0257': ('4-23*', '021030', 'Quartal Tetramirror'), '014578': ('6-Z19B..44', '313431', ''), '012345789A': ('10-5*', '888894', 'Major-minor mixed (r7)'), '01245679': ('8-14<', '555562', ''), '01245678': ('8-5B', '654553', ''), '01367': ('5-19', '212122', 'Javanese Pentachord'), '0167': ('4-9*(6)', '200022', 'Double Tritone Tetramirror'), '012345689': ('9-3', '767763', ''), '01369': ('5-31', '114112', 'Diminished Minor-Ninth Chord'), '01368': ('5-29', '122131', 'Kumoi Pentachord.2'), '0123689': ('7-19B', '434343', ''), '012468A': ('7-33*', '262623', 'Neapolitan-major mode (1222221)/Leading-Whole-tone mode (222211)'), '0124689': ('7-30', '343542', 'Neapolitan-Minor mode (1222131), Mela Dhenuka'), '03457': ('5-11B', '222220', 'Center-cluster Pentachord.2'), '01234568A': ('9-6*', '686763', ''), '023689': ('6-30B (6)', '224223', 'Petrushka chord, Major-bitonal Hexachord, comb R (6), I (1,7)'), '03458': ('5-Z37*..17', '212320', 'Center-cluster Pentamirror'), '0245679': ('7-23B', '354351', 'Tritone Major Heptachord'), '0245678': ('7-9B', '453432', ''), '01236789': ('8-9* (6)', '644464', "Messiaen's mode 4 (11131113)"), '0123456789AB': ('12-1*(1)', 'CCCCC6', 'Chromatic Scale/Dodecamirror (111111111111)'), '01234679A': ('9-10*', '668664', ''), '0156': ('4-8*', '200121', 'Double Fourth Tetramirror'), '0157': ('4-16', '110121', 'Minor-second Quartal Tetrachord'), '0158': ('4-20*', '101220', 'Major-seventh Chord'), '0134589': ('7-21B', '424641', 'Gypsy hexatonic (1312113)'), '013468': ('6-Z24..46B', '233331', ''), '013469': ('6-27', '225222', 'comb I (b)'), '012568': ('6-Z43..17B', '322332', ''), '012569': ('6-Z44..19B', '313431', 'Schoenberg Anagram Hexachord'), '013589': ('6-31', '223431', 'comb I (7)'), '012567': ('6-Z6*..38', '421242', 'Double-cluster Hexamirror'), '013467': ('6-Z13*..42', '324222', 'Alternating Hexamirror/comb RI7)'), '0246789': ('7-24B', '353442', 'Enigmatic Heptatonic (1322211)'), '02345789': ('8-14B<', '555562', ''), '023478': ('6-16B', '322431', 'Megha or "Cloud" Raga/comb.I (1)'), '023479': ('6-Z47B..25', '233241', 'Blues mode.1 (321132)'), '0123579': ('7-24', '353442', ''), '0123578': ('7-14', '443352', ''), '025': ('3-7', '011010', 'Incomplete Minor-seventh Chord'), '024': ('3-6*', '020100', 'Whole-tone Trichord'), '027': ('3-9*', '010020', 'Quartal Trichord'), '026': ('3-8', '010101', 'Incomplete Dominant-seventh Chord.1/Italian-sixth'), '023': ('3-2B', '111000', 'Minor Trichord'), '012368': ('6-Z41..12B', '332232', ''), '012369': ('6-Z42*..13', '324222', 'comb RI (3)'), '0146789': ('7-Z18B<..38', '434442', ''), '01345678': ('8-4B', '655552', ''), '01345679': ('8-12<', '556543', ''), '01246789': ('8-16B', '554563', ''), '01245': ('5-3', '322210', 'Minor-second Major Pentachord'), '01246': ('5-9', '231211', 'Tritone-Expanding Pentachord'), '01247': ('5-Z36..12', '222121', 'Major-seventh Pentacluster.2'), '01248': ('5-13', '221311', 'Augmented Pentacluster.1'), '0123478': ('7-6', '533442', ''), '0123479': ('7-Z12*..36', '444342', ''), '0267': ('4-16B', '110121', 'Tritone Quartal Tetrachord'), '0268': ('4-25*(6)', '020202', 'French-sixth Chord'), '02345': ('5-2B', '332110', 'Major-second Pentacluster.1'), '02346': ('5-8*', '232201', 'Tritone-Symmetric Pentamirror'), '02347': ('5-11', '222220', 'Center-cluster Pentachord.1'), '02348': ('5-13B', '221311', 'Augmented Pentacluster.2'), '0135679': ('7-28<', '344433', ''), '0135678': ('7-14B', '443352', ''), '01567': ('5-7B', '310132', 'Double Pentacluster.2'), '0124678A': ('8-25* (6)', '464644', 'Messiaen mode 6 (11221122)'), '01235': ('5-2', '332110', 'Major-second Pentacluster.2'), '01234': ('5-1*', '432100', 'Chromatic Pentamirror'), '01237': ('5-5', '321121', 'Major-third Pentacluster.2'), '01236': ('5-4', '322111', 'Blues Pentacluster'), '03456': ('5-4B', '322111', 'Minor-third Pentacluster'), '0125689': ('7-22*', '424542', 'Persian, Major Gypsy, Hungarian Minor, Double Harmonic scale, Bhairav That, Mayamdavagaula Raga (all: 1312131), Oriental (1311312)'), '02456789': ('8-11B', '565552', ''), '03567': ('5-Z36B..12', '222121', 'Minor-seventh Pentacluster.1'), '03568': ('5-23B', '123121', 'Minor-diminished Ninth Chord'), '0125678': ('7-7B', '532353', ''), '013689': ('6-Z29*..50', '224232', 'comb RI (9)'), '01235679A': ('9-11', '667773', ''), '0124578': ('7-Z38..18', '434442', ''), '0124579': ('7-27', '344451', ''), '0235689': ('7-31B', '336333', 'Alternating Heptachord.2'), '034678': ('6-15B', '323421', 'comb I (5)'), '01245789': ('8-20*', '545662', ''), '034578': ('6-14B..14B', '323430', 'comb P (6)'), '0369': ('4-28*(3)', '004002', 'Diminished-seventh Chord'), '01234678A': ('9-8', '676764', ''), '0345678': ('7-3B', '544431', ''), '0367': ('4-18B', '102111', 'Minor-diminished Tetrachord'), '02345679': ('8-10*', '566452', ''), '0124679A': ('8-27B', '456553', ''), '024569': ('6-Z46B..24', '233331', ''), '024568': ('6-21B', '242412', 'comb I (3)'), '023568': ('6-Z23*..45', '234222', 'Super-Locrian Hexamirror/comb RI (8)'), '023569': ('6-27B', '225222', 'Pyramid Hexachord/comb I (1)'), '023567': ('6-Z11B..40', '333231', ''), '024567': ('6-9B', '342231', 'comb I (3)'), '01456': ('5-6B', '311221', 'Oriental Pentacluster.2'), '012346789': ('9-5', '766674', ''), '01378': ('5-20', '211231', 'Balinese Pelog Pentatonic (12414), Raga Bhupala, Raga Bibhas'), '01356789': ('8-Z15B..29', '555553', ''), '0124578A': ('8-27', '456553', ''), '0134': ('4-3*', '212100', 'Alternating Tetramirror'), '0135': ('4-11', '121110', 'Phrygian Tetrachord'), '0136': ('4-13', '112011', 'Minor-second Diminished Tetrachord'), '0137': ('4-Z29..15', '111111', 'All-interval Tetrachord.3'), '02356': ('5-10B', '223111', 'Alternating Pentachord.2'), '02578': ('5-29B', '122131', 'Kumoi Pentachord.1'), '012345789': ('9-4', '766773', ''), '0145': ('4-7*', '201210', 'Arabian Tetramirror'), '0147': ('4-18', '102111', 'Major-diminished Tetrachord'), '0146': ('4-Z15..29', '111111', 'All-interval Tetrachord.1'), '0148': ('4-19', '101310', 'Minor-augmented Tetrachord'), '013479': ('6-Z49*..28', '224322', 'Prometheus Neapolitan mode (132312), comb RI (4)'), '013478': ('6-Z19..44B', '313431', ''), '012579': ('6-Z48*..26', '232341', 'comb RI (2)'), '012578': ('6-18', '322242', 'comb I (b)'), '01234578': ('8-4', '655552', ''), '01234579': ('8-11', '565552', ''), '013578': ('6-Z26*..48', '232341', 'Phrygian Hexamirror/comb RI (8)'), '013579': ('6-34', '142422', "Scriabin's Mystic Chord or Prometheus Hexachord/comb I (B)"), '012478': ('6-Z17..43B', '322332', ''), '012479': ('6-Z47..25B', '233241', ''), '01234578A': ('9-7', '677673', 'Nonatonic Blues Scale (211111212)'), '01469': ('5-32', '113221', 'Neapolitan Pentachord.1'), '0123456789A': ('11-1*', 'AAAAA5', 'Chromatic Undecamirror'), '01234679': ('8-13', '556453', ''), '01234678': ('8-5', '654553', ''), '023467': ('6-Z10B..39B', '333321', ''), '01235689': ('8-18', '546553', ''), '023469': ('6-Z45*..23', '234222', 'comb RI (6)'), '023468': ('6-21', '242412', 'comb I (1)'), '0123568': ('7-Z36..12', '444342', ''), '0123569': ('7-16', '435432', ''), '0123567': ('7-5', '543342', ''), '012378': ('6-Z38*..6', '421242', 'comb RI (3)'), '036': ('3-10*', '002001', 'Diminished Chord'), '037': ('3-11', '001110', 'Minor Chord'), '034': ('3-3B', '101100', 'Major-minor Trichord.2'), '035': ('3-7B', '011010', 'Incomplete Dominant-seventh Chord.2'), '02': ('2-2*', '010000', 'Whole-tone'), '03': ('2-3*', '001000', 'Minor Third'), '01': ('2-1*', '100000', 'Semitone'), '06': ('2-6*(6)', '000001', 'Tritone'), '04': ('2-4*', '000100', 'Major Third'), '05': ('2-5*', '000010', 'Perfect Fourth'), '02458': ('5-26<', '122311', 'Diminished-augmented Ninth Chord'), '023456789': ('9-2B', '777663', ''), '02456': ('5-9B', '231211', 'Tritone-Contracting Pentachord'), '02457': ('5-23B', '132130', 'Major Pentachord'), '01345689': ('8-17*', '546652', ''), '0134679A': ('8-28* (3)', '448444', 'Alternating Octatonic or Diminished scale (12121212)'), '0356': ('4-13B', '112011', 'Perfect-fourth Diminished Tetrachord'), '0357': ('4-22B', '021120', 'Perfect-fourth Minor Tetrachord'), '0358': ('4-26*', '012120', 'Minor-seventh Chord'), '0457': ('4-14B<', '111120', 'Perfect-fourth Major Tetrachord'), '0456': ('4-5B', '210111', 'Major Third Tetracluster.1'), '012589': ('6-Z44B..19', '313431', 'Bauli raga (133131)'), '0235678': ('7-Z36B..12', '444342', ''), '0235679': ('7-25B', '345342', ''), '01245689': ('8-19', '545752', ''), '01578': ('5-20B', '211231', 'Hirajoshi Pentatonic (21414), Iwato (14142), Sakura/Raga Saveri (14214)'), '01479': ('5-32B', '113221', 'Neapolitan Pentachord.2'), '01478': ('5-22*', '202321', 'Persian Pentamirror, Raga reva/Ramkali (13314)'), '01348': ('5-Z17*..37', '212320', 'Minor-major Ninth Chord'), '01345': ('5-3B', '322210', 'Spanish Pentacluster'), 'empty': ('0-1', '000000', 'Null set'), '01346': ('5-10', '223111', 'Alternating Pentachord.1'), '023458': ('6-Z39..10', '333321', ''), '023456': ('6-2B', '443211', 'comb I (1)'), '023457': ('6-8*', '343230', '1st ord.all-comb (P6, I1, RI7)'), '03578': ('5-27B', '122230', 'Minor-Ninth Chord'), '03478': ('5-21B', '202420', 'Lebanese Pentachord/Augmented-minor Chord'), '03467': ('5-16B', '213211', 'Major-minor-dim Pentachord.2'), '024679': ('6-33B', '143241', 'Dominant-11th/Lydian Hexachord/comb I (5)'), '024678': ('6-22B', '241422', 'comb I (5)'), '01234689': ('8-Z15..29', '555553', ''), '012345689A': ('10-4*', '888984', ''), '025678': ('6-Z41B..12', '332232', ''), '0124589': ('7-21', '424641', ''), '0123458': ('7-3', '544431', ''), '0368': ('4-27B', '012111', 'Dominant-seventh/German-sixth Chord'), '0123456': ('7-1*', '654321', 'Chromatic Heptamirror'), '0123457': ('7-2', '554331', ''), '0123468A': ('8-21*', '474643', ''), '012348': ('6-Z37*..4', '432321', 'comb RI (4)'), '0234679': ('7-25', '345342', ''), '0234678': ('7-13B', '443532', ''), '012346': ('6-2', '443211', 'comb I (b)'), '012347': ('6-Z36..3B', '433221', ''), '012345': ('6-1*', '543210', 'Chromatic Hexamirror/1st ord. all-comb (P6, Ib, RI5)'), '02467': ('5-24B', '131221', 'Lydian Pentachord'), '012367': ('6-5', '422232', 'comb I (b)'), '014678': ('6-Z17B..43', '322332', ''), '014679': ('6-Z50*..29', '224232', 'comb RI (1)'), '013456789': ('9-3B', '767763', ''), '02469': ('5-34*', '032221', 'Dominant-ninth/major-minor/Prometheus Pentamirror, Dominant Pentatonic (22332)'), '02468': ('5-33*', '040402', 'Whole-tone Pentamirror'), '0123678': ('7-7', '532353', ''), '0123679': ('7-19', '434343', ''), '023579': ('6-33', '143241', 'Dorian Hexachord/comb I (1)'), '023578': ('6-Z25B..47', '233241', 'Minor Hexachord'), '0237': ('4-14<', '111120', 'Major-second Minor Tetrachord'), '0236': ('4-12<', '112101', 'Harmonic-minor Tetrachord'), '0235': ('4-10*', '122010', 'Minor Tetramirror'), '0234': ('4-2B', '221100', 'Major-second Tetracluster.1'), '01234579A': ('9-7B', '677673', ''), '01268': ('5-15*', '220222', 'Assymetric Pentamirror'), '0124679': ('7-29', '344352', ''), '01267': ('5-7', '310132', 'DoublePentacluster.1, Raga Nabhomani (11415)'), '013568A': ('7-35*', '254361', 'Major Diatonic Heptachord/Dominant-13th, Locrian (1221222), Phrygian (1222122), Major inverse'), '0127': ('4-6*', '210021', 'Perfect Fourth Tetramirror'), '0126': ('4-5', '210111', 'Major Third Tetracluster.2'), '0125': ('4-4', '211110', 'Minor Third Tetracluster.2'), '0124': ('4-2', '221100', 'Major-second Tetracluster.2'), '0123': ('4-1*', '321000', 'BACH /Chromatic Tetramirror'), '0135689': ('7-32B', '335442', 'Dharmavati Scale (2131221), Harmonic minor inverse (1312212), Mela Cakravana, Raga Ahir Bhairav'), '01245689A': ('9-12* (4)', '666963', 'Tsjerepnin/Messiaen mode 3 (112112112)'), '02356789': ('8-13B', '556453', ''), '02568': ('5-28B<', '122212', 'Augmented-sixth Pentachord.2'), '02567': ('5-14B', '221131', 'Double-seconds Triple-fourth Pentachord.2'), '0234569': ('7-10B', '445332', ''), '0234568': ('7-8*', '454422', ''), '02368': ('5-28<', '122212', 'Augmented-sixth Pentachord.1'), '02369': ('5-31B', '114112', 'Ranjaniraga/Flat-Ninth Pentachord'), '02367': ('5-Z18B<..38', '212221', 'Gypsy Pentachord.2'), '0124568A': ('8-24*', '464743', ''), '0234567': ('7-2B', '554331', ''), '023678': ('6-Z43B..17', '322332', ''), '0234689': ('7-28B<', '344433', ''), '013569': ('6-Z28*..49', '224322', 'Double-Phrygian Hexachord/comb RI (6)'), '013568': ('6-Z25..47B', '233241', 'Locrian Hexachord/Suddha Saveriraga'), '01234569': ('8-3*', '656542', ''), '012468': ('6-22', '241422', 'comb I (b)'), '012467': ('6-Z12..41B', '332232', ''), '013567': ('6-Z12B..41', '332232', ''), '0123568A': ('8-22', '465562', ''), '0134579': ('7-26<', '344532', ''), '0134578': ('7-Z37*..17', '434541', ''), '0245689': ('7-26B<', '344532', ''), '0134678': ('7-Z38B..18', '434442', ''), '0134679': ('7-31', '336333', 'Alternating Heptachord.1/Hungarian Major mode (3121212)'), '048': ('3-12*(4)', '000300', 'Augmented Chord'), '047': ('3-11B', '001110', 'Major Chord'), '046': ('3-8B', '010101', 'Incomplete Half-dim-seventh Chord'), '045': ('3-4B', '100110', 'Incomplete Major-seventh Chord.2'), '01346789': ('8-18B', '546553', ''), '01235789': ('8-16', '554563', ''), '0347': ('4-17*', '102210', 'Major-minor Tetramirror'), '0346': ('4-12B<', '112101', 'Major-third Diminished Tetrachord'), '0345': ('4-4B', '211110', 'Minor Third Tetracluster.1'), '0348': ('4-19B', '101310', 'Augmented-major Tetrachord'), '01345789': ('8-19B', '545752', ''), '0123578A': ('8-23*', '465472', 'Quartal Octachord, Diatonic Octad'), '012346789A': ('10-6* (6)', '888885', 'Messiaen mode 7 (1111211112)'), '0467': ('4-Z29B..15', '111111', 'All-interval Tetrachord.4'), '014567': ('6-5B', '422232', 'comb I (3)'), '0246': ('4-21*', '030201', 'Whole-tone Tetramirror'), '0247': ('4-22', '021120', 'Major-second Major Tetrachord'), '0245': ('4-11B', '121110', 'Major Tetrachord'), '0248': ('4-24*', '020301', 'Augmented Seventh Chord'), '02345678': ('8-2B', '665542', ''), '014568': ('6-16', '322431', 'comb I (3)'), '035678': ('6-Z40B..11', '333231', ''), '012345679A': ('10-3*', '889884', ''), '01468': ('5-30', '121321', 'Enigmatic Pentachord.1'), '0124678': ('7-15*', '442443', ''), '01467': ('5-19B', '212122', 'Balinese Pentachord'), '0124568': ('7-13', '443532', ''), '01358': ('5-27', '122230', 'Major-Ninth Chord'), '01347': ('5-16', '213211', 'Major-minor-dim Pentachord.1'), '01356': ('5-Z12*..36', '222121', 'Locrian Pentamirror'), '01357': ('5-24', '131221', 'Phrygian Pentachord'), '012345679': ('9-2', '777663', ''), '012345678': ('9-1*', '876663', 'Chromatic Nonamirror'), '013468A': ('7-34*', '254442', 'Harmonic/Super-Locrian, Melodic minor ascending (1212222)/Aug.13th Heptamirror, Jazz Minor'), '012469': ('6-Z46..24B', '233331', ''), '01234568': ('8-2', '665542', ''), '01234567': ('8-1*', '765442', 'Chromatic Octamirror'), '0256': ('4-Z15B..29', '111111', 'All-interval Tetrachord.2'), '03468': ('5-26B<', '122311', 'Augmented-diminished Ninth Chord'), '02468A': ('6-35*(2)', '060603', 'Wholetone scale/6th ord.all-comb.(P+IoddT, R+RIevenT)'), '012456': ('6-Z4*..37', '432321', 'comb RI (6)'), '012457': ('6-Z11..40B', '333231', ''), '013458': ('6-14..14', '323430', 'comb P (6)'), '024689': ('6-34B', '142422', 'Harmonic Hexachord/Augmented-11th/comb I (7)'), '013457': ('6-Z10..39', '333321', ''), '013456': ('6-Z3B..36', '433221', ''), '012458': ('6-15', '323421', 'comb I (b)'), '0134689': ('7-32', '335442', 'Harmonic-Minor mode (2122131), Spanish Gypsy, Mela Kiravani, Pilu That')}

def parse_note_name(pitch_str):
    class NoteNameError(Exception):
        def __init__(self):
            Exception.__init__(self, 'Invalid note name "{0}"'.format(pitch_str))
    names = { 
        'C': 0,
        'D': 2,
        'E': 4,
        'F': 5,
        'G': 7,
        'A': 9,
        'B': 11
    }
    n = 0
    pitch_clean = pitch_str.upper().strip()
    try:
        pitch_char = pitch_clean[0]
        n = names[pitch_char]
        for i in xrange(1, len(pitch_clean)):
            if pitch_clean[i] == '#':
                n = increment_pitch(n)
            elif pitch_clean[i] == 'B': # As in b, notation for flat
                n = decrement_pitch(n)
            else:
                raise NoteNameError()
    except:
        raise NoteNameError()
    return n

def normalize(n):
    return n % 12

def invert_set(pcs):
    largest = max(pcs)
    return sorted(map(lambda n: decrement_pitch(largest, n), pcs))

def candidate_sets(pcs):
    ordered = sorted(pcs)
    n = len(ordered)
    # Find the "break" (largest gap in the set) and normalize by it
    idx, splitter = max(enumerate(ordered), key=lambda (idx, val): decrement_pitch(val, ordered[(idx - 1) % n]))
    rotated = sorted(map(lambda n: decrement_pitch(n, splitter), ordered))
    return [ rotated, invert_set(rotated) ]

def increment_pitch(n, increment=1):
    return normalize(n + increment)

def __pcs_main(argv):
    import argparse
    parser = argparse.ArgumentParser()
    parser.add_argument('pitches', nargs='+')
    args = parser.parse_args()
    
    raw_set = set()
    for token in args.pitches:
        pitch = parse_note_name(token)
        raw_set.add(pitch)
    for pcs in candidate_sets(raw_set):
        str_pcs = map(str, pcs)
        encoded = ''.join(str_pcs)
        if encoded in all_sets:
            print '\t'.join(all_sets[encoded])
            return 0
    print 'Failed to find match for pitch class set.'
    return 1

def decrement_pitch(n, decrement=1):
    return increment_pitch(n, -1 * decrement)

if __name__=="__main__": import sys; __pcs_main(sys.argv)

pitch_classes.tsv

#    Forte cross-referenced Set-name	Prime	Interval Vector	Descriptive name/properties
0	0-1	empty	000000	Null set
1	1-1*	0	000000	Unison
2	2-1*	01	100000	Semitone
3	2-2*	02	010000	Whole-tone
4	2-3*	03	001000	Minor Third
5	2-4*	04	000100	Major Third
6	2-5*	05	000010	Perfect Fourth
7	2-6*(6)	06	000001	Tritone
8	3-1*	012	210000	BACH /Chromatic Trimirror
9	3-2	013	111000	Phrygian Trichord
10	3-2B	023	111000	Minor Trichord
11	3-3	014	101100	Major-minor Trichord.1
12	3-3B	034	101100	Major-minor Trichord.2
13	3-4	015	100110	Incomplete Major-seventh Chord.1
14	3-4B	045	100110	Incomplete Major-seventh Chord.2
15	3-5	016	100011	Rite chord.2, Tritone-fourth.1
16	3-5B	056	100011	Rite chord.1, Tritone-fourth.2
17	3-6*	024	020100	Whole-tone Trichord
18	3-7	025	011010	Incomplete Minor-seventh Chord
19	3-7B	035	011010	Incomplete Dominant-seventh Chord.2
20	3-8	026	010101	Incomplete Dominant-seventh Chord.1/Italian-sixth
21	3-8B	046	010101	Incomplete Half-dim-seventh Chord
22	3-9*	027	010020	Quartal Trichord
23	3-10*	036	002001	Diminished Chord
24	3-11	037	001110	Minor Chord
25	3-11B	047	001110	Major Chord
26	3-12*(4)	048	000300	Augmented Chord
27	4-1*	0123	321000	BACH /Chromatic Tetramirror
28	4-2	0124	221100	Major-second Tetracluster.2
29	4-2B	0234	221100	Major-second Tetracluster.1
30	4-3*	0134	212100	Alternating Tetramirror
31	4-4	0125	211110	Minor Third Tetracluster.2
32	4-4B	0345	211110	Minor Third Tetracluster.1
33	4-5	0126	210111	Major Third Tetracluster.2
34	4-5B	0456	210111	Major Third Tetracluster.1
35	4-6*	0127	210021	Perfect Fourth Tetramirror
36	4-7*	0145	201210	Arabian Tetramirror
37	4-8*	0156	200121	Double Fourth Tetramirror
38	4-9*(6)	0167	200022	Double Tritone Tetramirror
39	4-10*	0235	122010	Minor Tetramirror
40	4-11	0135	121110	Phrygian Tetrachord
41	4-11B	0245	121110	Major Tetrachord
42	4-12<	0236	112101	Harmonic-minor Tetrachord
43	4-12B<	0346	112101	Major-third Diminished Tetrachord
44	4-13	0136	112011	Minor-second Diminished Tetrachord
45	4-13B	0356	112011	Perfect-fourth Diminished Tetrachord
46	4-14<	0237	111120	Major-second Minor Tetrachord
47	4-14B<	0457	111120	Perfect-fourth Major Tetrachord
48	4-Z15..29	0146	111111	All-interval Tetrachord.1
49	4-Z15B..29	0256	111111	All-interval Tetrachord.2
50	4-16	0157	110121	Minor-second Quartal Tetrachord
51	4-16B	0267	110121	Tritone Quartal Tetrachord
52	4-17*	0347	102210	Major-minor Tetramirror
53	4-18	0147	102111	Major-diminished Tetrachord
54	4-18B	0367	102111	Minor-diminished Tetrachord
55	4-19	0148	101310	Minor-augmented Tetrachord
56	4-19B	0348	101310	Augmented-major Tetrachord
57	4-20*	0158	101220	Major-seventh Chord
58	4-21*	0246	030201	Whole-tone Tetramirror
59	4-22	0247	021120	Major-second Major Tetrachord
60	4-22B	0357	021120	Perfect-fourth Minor Tetrachord
61	4-23*	0257	021030	Quartal Tetramirror
62	4-24*	0248	020301	Augmented Seventh Chord
63	4-25*(6)	0268	020202	French-sixth Chord
64	4-26*	0358	012120	Minor-seventh Chord
65	4-27	0258	012111	Half-diminished Seventh Chord
66	4-27B	0368	012111	Dominant-seventh/German-sixth Chord
67	4-28*(3)	0369	004002	Diminished-seventh Chord
68	4-Z29..15	0137	111111	All-interval Tetrachord.3
69	4-Z29B..15	0467	111111	All-interval Tetrachord.4
70	5-1*	01234	432100	Chromatic Pentamirror
71	5-2	01235	332110	Major-second Pentacluster.2
72	5-2B	02345	332110	Major-second Pentacluster.1
73	5-3	01245	322210	Minor-second Major Pentachord
74	5-3B	01345	322210	Spanish Pentacluster
75	5-4	01236	322111	Blues Pentacluster
76	5-4B	03456	322111	Minor-third Pentacluster
77	5-5	01237	321121	Major-third Pentacluster.2
78	5-5B	04567	321121	Major-third Pentacluster.1
79	5-6	01256	311221	Oriental Pentacluster.1, Raga Megharanji (13161)
80	5-6B	01456	311221	Oriental Pentacluster.2
81	5-7	01267	310132	DoublePentacluster.1, Raga Nabhomani (11415)
82	5-7B	01567	310132	Double Pentacluster.2
83	5-8*	02346	232201	Tritone-Symmetric Pentamirror
84	5-9	01246	231211	Tritone-Expanding Pentachord
85	5-9B	02456	231211	Tritone-Contracting Pentachord
86	5-10	01346	223111	Alternating Pentachord.1
87	5-10B	02356	223111	Alternating Pentachord.2
88	5-11	02347	222220	Center-cluster Pentachord.1
89	5-11B	03457	222220	Center-cluster Pentachord.2
90	5-Z12*..36	01356	222121	Locrian Pentamirror
91	5-13	01248	221311	Augmented Pentacluster.1
92	5-13B	02348	221311	Augmented Pentacluster.2
93	5-14	01257	221131	Double-seconds Triple-fourth Pentachord.1
94	5-14B	02567	221131	Double-seconds Triple-fourth Pentachord.2
95	5-15*	01268	220222	Assymetric Pentamirror
96	5-16	01347	213211	Major-minor-dim Pentachord.1
97	5-16B	03467	213211	Major-minor-dim Pentachord.2
98	5-Z17*..37	01348	212320	Minor-major Ninth Chord
99	5-Z18<..38	01457	212221	Gypsy Pentachord.1
100	5-Z18B<..38	02367	212221	Gypsy Pentachord.2
101	5-19	01367	212122	Javanese Pentachord
102	5-19B	01467	212122	Balinese Pentachord
103	5-20	01378	211231	Balinese Pelog Pentatonic (12414), Raga Bhupala, Raga Bibhas
104	5-20B	01578	211231	Hirajoshi Pentatonic (21414), Iwato (14142), Sakura/Raga Saveri (14214)
105	5-21	01458	202420	Syrian Pentatonic/Major-augmented Ninth Chord, Raga Megharanji (13134)
106	5-21B	03478	202420	Lebanese Pentachord/Augmented-minor Chord
107	5-22*	01478	202321	Persian Pentamirror, Raga reva/Ramkali (13314)
108	5-23	02357	132130	Minor Pentachord
109	5-23B	02457	132130	Major Pentachord
110	5-24	01357	131221	Phrygian Pentachord
111	5-24B	02467	131221	Lydian Pentachord
112	5-25	02358	123121	Diminished-major Ninth Chord
113	5-23B	03568	123121	Minor-diminished Ninth Chord
114	5-26<	02458	122311	Diminished-augmented Ninth Chord
115	5-26B<	03468	122311	Augmented-diminished Ninth Chord
116	5-27	01358	122230	Major-Ninth Chord
117	5-27B	03578	122230	Minor-Ninth Chord
118	5-28<	02368	122212	Augmented-sixth Pentachord.1
119	5-28B<	02568	122212	Augmented-sixth Pentachord.2
120	5-29	01368	122131	Kumoi Pentachord.2
121	5-29B	02578	122131	Kumoi Pentachord.1
122	5-30	01468	121321	Enigmatic Pentachord.1
123	5-30B	02478	121321	Enigmatic Pentachord.2, Altered Pentatonic (14223)
124	5-31	01369	114112	Diminished Minor-Ninth Chord
125	5-31B	02369	114112	Ranjaniraga/Flat-Ninth Pentachord
126	5-32	01469	113221	Neapolitan Pentachord.1
127	5-32B	01479	113221	Neapolitan Pentachord.2
128	5-33*	02468	040402	Whole-tone Pentamirror
129	5-34*	02469	032221	Dominant-ninth/major-minor/Prometheus Pentamirror, Dominant Pentatonic (22332)
130	5-35*	02479	032140	"Black Key" Pentatonic/Slendro/Bilahariraga/Quartal Pentamirror, Yo (23232)
131	5-Z36..12	01247	222121	Major-seventh Pentacluster.2
132	5-Z36B..12	03567	222121	Minor-seventh Pentacluster.1
133	5-Z37*..17	03458	212320	Center-cluster Pentamirror
134	5-Z38..18	01258	212221	Diminished Pentacluster.1
135	5-Z38B..18	03678	212221	Diminished Pentacluster.2
136	6-1*	012345	543210	Chromatic Hexamirror/1st ord. all-comb (P6, Ib, RI5)
137	6-2	012346	443211	comb I (b)
138	6-2B	023456	443211	comb I (1)
139	6-Z3..36B	012356	433221	
140	6-Z3B..36	013456	433221	
141	6-Z4*..37	012456	432321	comb RI (6)
142	6-5	012367	422232	comb I (b)
143	6-5B	014567	422232	comb I (3)
144	6-Z6*..38	012567	421242	Double-cluster Hexamirror
145	6-7* (6)	012678	420243	Messiaen's mode 5 (114114), 2nd ord.all-comb(P3+9,I5,Ib,R6,RI2+8)
146	6-8*	023457	343230	1st ord.all-comb (P6, I1, RI7)
147	6-9	012357	342231	comb I (b)
148	6-9B	024567	342231	comb I (3)
149	6-Z10..39	013457	333321	
150	6-Z10B..39B	023467	333321	
151	6-Z11..40B	012457	333231	
152	6-Z11B..40	023567	333231	
153	6-Z12..41B	012467	332232	
154	6-Z12B..41	013567	332232	
155	6-Z13*..42	013467	324222	Alternating Hexamirror/comb RI7)
156	6-14..14	013458	323430	comb P (6)
157	6-14B..14B	034578	323430	comb P (6)
158	6-15	012458	323421	comb I (b)
159	6-15B	034678	323421	comb I (5)
160	6-16	014568	322431	comb I (3)
161	6-16B	023478	322431	Megha or "Cloud" Raga/comb.I (1)
162	6-Z17..43B	012478	322332	
163	6-Z17B..43	014678	322332	
164	6-18	012578	322242	comb I (b)
165	6-18B	013678	322242	comb I (5)
166	6-Z19..44B	013478	313431	
167	6-Z19B..44	014578	313431	
168	6-20*(4)	014589	303630	Augmented scale, Genus tertium, 3rd ord. all-comb (P2+6+10, I3+7+b, R4+8, RI1+5+9)
169	6-21	023468	242412	comb I (1)
170	6-21B	024568	242412	comb I (3)
171	6-22	012468	241422	comb I (b)
172	6-22B	024678	241422	comb I (5)
173	6-Z23*..45	023568	234222	Super-Locrian Hexamirror/comb RI (8)
174	6-Z24..46B	013468	233331	
175	6-Z24B..46	024578	233331	Melodic-minor Hexachord
176	6-Z25..47B	013568	233241	Locrian Hexachord/Suddha Saveriraga
177	6-Z25B..47	023578	233241	Minor Hexachord
178	6-Z26*..48	013578	232341	Phrygian Hexamirror/comb RI (8)
179	6-27	013469	225222	comb I (b)
180	6-27B	023569	225222	Pyramid Hexachord/comb I (1)
181	6-Z28*..49	013569	224322	Double-Phrygian Hexachord/comb RI (6)
182	6-Z29*..50	013689	224232	comb RI (9)
183	6-30 (6)	013679	224223	Minor-bitonal Hexachord/comb R (6), I (5,b)
184	6-30B (6)	023689	224223	Petrushka chord, Major-bitonal Hexachord, comb R (6), I (1,7)
185	6-31	013589	223431	comb I (7)
186	6-31B	014689	223431	comb I (b)
187	6-32*	024579	143250	Arezzo major Diatonic (221223), major hexamirror, quartal hexamirror, 1st ord.all-comb P (6), I (3), RI (9)
188	6-33	023579	143241	Dorian Hexachord/comb I (1)
189	6-33B	024679	143241	Dominant-11th/Lydian Hexachord/comb I (5)
190	6-34	013579	142422	Scriabin's Mystic Chord or Prometheus Hexachord/comb I (B)
191	6-34B	024689	142422	Harmonic Hexachord/Augmented-11th/comb I (7)
192	6-35*(2)	02468A	060603	Wholetone scale/6th ord.all-comb.(P+IoddT, R+RIevenT)
193	6-Z36..3B	012347	433221	
194	6-Z36B..3	034567	433221	
195	6-Z37*..4	012348	432321	comb RI (4)
196	6-Z38*..6	012378	421242	comb RI (3)
197	6-Z39..10	023458	333321	
198	6-Z39B..10B	034568	333321	
199	6-Z40..11B	012358	333231	
200	6-Z40B..11	035678	333231	
201	6-Z41..12B	012368	332232	
202	6-Z41B..12	025678	332232	
203	6-Z42*..13	012369	324222	comb RI (3)
204	6-Z43..17B	012568	322332	
205	6-Z43B..17	023678	322332	
206	6-Z44..19B	012569	313431	Schoenberg Anagram Hexachord
207	6-Z44B..19	012589	313431	Bauli raga (133131)
208	6-Z45*..23	023469	234222	comb RI (6)
209	6-Z46..24B	012469	233331	
210	6-Z46B..24	024569	233331	
211	6-Z47..25B	012479	233241	
212	6-Z47B..25	023479	233241	Blues mode.1 (321132)
213	6-Z48*..26	012579	232341	comb RI (2)
214	6-Z49*..28	013479	224322	Prometheus Neapolitan mode (132312), comb RI (4)
215	6-Z50*..29	014679	224232	comb RI (1)
216	7-1*	0123456	654321	Chromatic Heptamirror
217	7-2	0123457	554331	
218	7-2B	0234567	554331	
219	7-3	0123458	544431	
220	7-3B	0345678	544431	
221	7-4	0123467	544332	
222	7-4B	0134567	544332	
223	7-5	0123567	543342	
224	7-5B	0124567	543342	
225	7-6	0123478	533442	
226	7-6B	0145678	533442	
227	7-7	0123678	532353	
228	7-7B	0125678	532353	
229	7-8*	0234568	454422	
230	7-9	0123468	453432	
231	7-9B	0245678	453432	
232	7-10	0123469	445332	
233	7-10B	0234569	445332	
234	7-11	0134568	444441	
235	7-11B	0234578	444441	
236	7-Z12*..36	0123479	444342	
237	7-13	0124568	443532	
238	7-13B	0234678	443532	
239	7-14	0123578	443352	
240	7-14B	0135678	443352	
241	7-15*	0124678	442443	
242	7-16	0123569	435432	
243	7-16B	0134569	435432	
244	7-Z17*..37	0124569	434541	
245	7-Z18<..38	0123589	434442	
246	7-Z18B<..38	0146789	434442	
247	7-19	0123679	434343	
248	7-19B	0123689	434343	
249	7-20	0124789	433452	Chromatic Phrygian inverse (1123113)
250	7-20B	0125789	433452	Pantuvarali Raga (1321131), Chromatic Mixolydian (1131132), Chromatic Dorian/Mela Kanakangi (1132113)
251	7-21	0124589	424641	
252	7-21B	0134589	424641	Gypsy hexatonic (1312113)
253	7-22*	0125689	424542	Persian, Major Gypsy, Hungarian Minor, Double Harmonic scale, Bhairav That, Mayamdavagaula Raga (all: 1312131), Oriental (1311312)
254	7-23	0234579	354351	
255	7-23B	0245679	354351	Tritone Major Heptachord
256	7-24	0123579	353442	
257	7-24B	0246789	353442	Enigmatic Heptatonic (1322211)
258	7-25	0234679	345342	
259	7-25B	0235679	345342	
260	7-26<	0134579	344532	
261	7-26B<	0245689	344532	
262	7-27	0124579	344451	
263	7-27B	0245789	344451	Modified Blues mode (2121132)
264	7-28<	0135679	344433	
265	7-28B<	0234689	344433	
266	7-29	0124679	344352	
267	7-29B	0235789	344352	
268	7-30	0124689	343542	Neapolitan-Minor mode (1222131), Mela Dhenuka
269	7-30B	0135789	343542	
270	7-31	0134679	336333	Alternating Heptachord.1/Hungarian Major mode (3121212)
271	7-31B	0235689	336333	Alternating Heptachord.2
272	7-32	0134689	335442	Harmonic-Minor mode (2122131), Spanish Gypsy, Mela Kiravani, Pilu That
273	7-32B	0135689	335442	Dharmavati Scale (2131221), Harmonic minor inverse (1312212), Mela Cakravana, Raga Ahir Bhairav
274	7-33*	012468A	262623	Neapolitan-major mode (1222221)/Leading-Whole-tone mode (222211)
275	7-34*	013468A	254442	Harmonic/Super-Locrian, Melodic minor ascending (1212222)/Aug.13th Heptamirror, Jazz Minor
276	7-35*	013568A	254361	Major Diatonic Heptachord/Dominant-13th, Locrian (1221222), Phrygian (1222122), Major inverse
277	7-Z36..12	0123568	444342	
278	7-Z36B..12	0235678	444342	
279	7-Z37*..17	0134578	434541	
280	7-Z38..18	0124578	434442	
281	7-Z38B..18	0134678	434442	
282	8-1*	01234567	765442	Chromatic Octamirror
283	8-2	01234568	665542	
284	8-2B	02345678	665542	
285	8-3*	01234569	656542	
286	8-4	01234578	655552	
287	8-4B	01345678	655552	
288	8-5	01234678	654553	
289	8-5B	01245678	654553	
290	8-6*	01235678	654463	
291	8-7*	01234589	645652	
292	8-8*	01234789	644563	
293	8-9* (6)	01236789	644464	Messiaen's mode 4 (11131113)
294	8-10*	02345679	566452	
295	8-11	01234579	565552	
296	8-11B	02456789	565552	
297	8-12<	01345679	556543	
298	8-12B<	02345689	556543	
299	8-13	01234679	556453	
300	8-13B	02356789	556453	
301	8-14<	01245679	555562	
302	8-14B<	02345789	555562	
303	8-Z15..29	01234689	555553	
304	8-Z15B..29	01356789	555553	
305	8-16	01235789	554563	
306	8-16B	01246789	554563	
307	8-17*	01345689	546652	
308	8-18	01235689	546553	
309	8-18B	01346789	546553	
310	8-19	01245689	545752	
311	8-19B	01345789	545752	
312	8-20*	01245789	545662	
313	8-21*	0123468A	474643	
314	8-22	0123568A	465562	
315	8-22B	0123579A	465562	Spanish Octatonic Scale (r9) (12111222)
316	8-23*	0123578A	465472	Quartal Octachord, Diatonic Octad
317	8-24*	0124568A	464743	
318	8-25* (6)	0124678A	464644	Messiaen mode 6 (11221122)
319	8-26*	0124579A	456562	Spanish Phrygian (r9) (12112122)/ Blues mode.2 (21211212)
320	8-27	0124578A	456553	
321	8-27B	0124679A	456553	
322	8-28* (3)	0134679A	448444	Alternating Octatonic or Diminished scale (12121212)
323	8-Z29..15	01235679	555553	
324	8-Z29B..15	02346789	555553	
325	9-1*	012345678	876663	Chromatic Nonamirror
326	9-2	012345679	777663	
327	9-2B	023456789	777663	
328	9-3	012345689	767763	
329	9-3B	013456789	767763	
330	9-4	012345789	766773	
331	9-4B	012456789	766773	
332	9-5	012346789	766674	
333	9-5B	012356789	766674	
334	9-6*	01234568A	686763	
335	9-7	01234578A	677673	Nonatonic Blues Scale (211111212)
336	9-7B	01234579A	677673	
337	9-8	01234678A	676764	
338	9-8B	01234689A	676764	
339	9-9*	01235678A	676683	Raga Ramdasi Malhar (r2) (211122111)
340	9-10*	01234679A	668664	
341	9-11	01235679A	667773	
342	9-11B	01235689A	667773	Diminishing Nonachord
343	9-12* (4)	01245689A	666963	Tsjerepnin/Messiaen mode 3 (112112112)
344	10-1*	0123456789	988884	Chromatic Decamirror
345	10-2*	012345678A	898884	
346	10-3*	012345679A	889884	
347	10-4*	012345689A	888984	
348	10-5*	012345789A	888894	Major-minor mixed (r7)
349	10-6* (6)	012346789A	888885	Messiaen mode 7 (1111211112)
350	11-1*	0123456789A	AAAAA5	Chromatic Undecamirror
351	12-1*(1)	0123456789AB	CCCCC6	Chromatic Scale/Dodecamirror (111111111111)