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The human ear hears sine waves.

If you hear a complex waveform (like a square wave), the ear decomposes it into sine wave "harmonics", which are all multiples of a "fundamental" frequency.

The human ear identifies pitch as the "fundamental" frequency, AKA the GCD(sine harmonics), AKA period of a waveform.

VRC7 plays a carrier sine at f, and applies FM at g to create a series of sine "harmonics" at f ± y*g for integer y. Loudness decreases as abs(y) increases. If f is 8 and g is 1, the waveform will sound bright, piercing, and bassless (since it only has high frequencies around 8).

The resulting waveform has a period of gcd(f, g), and all "harmonics" are multiples of gcd(f, g), so the ear hears a tone at gcd(f, g).

	#!/usr/bin/python
	# -- coding: utf-8 --
	"""
	Update a simple plot as rapidly as possible to measure speed.
	"""

	## Add path to library (just for examples; you do not need this)
	from pyqtgraph.Qt import QtGui, QtCore
	import numpy as np
	import pyqtgraph as pg

	#!/usr/bin/python
	# -- coding: utf-8 --
	"""
	Update a simple plot as rapidly as possible to measure speed.
	"""

	## Add path to library (just for examples; you do not need this)

	from pyqtgraph.Qt import QtGui, QtCore
	import numpy as np

	#!/usr/bin/python
	# -- coding: utf-8 --
	"""
	Update a simple plot as rapidly as possible to measure speed.
	"""

	## Add path to library (just for examples; you do not need this)

	from pyqtgraph.Qt import QtGui, QtCore
	import numpy as np

	import re
	import sys

	def exitPrompt(string="Press enter to exit. . ."):
	input(string)
	exit()

	def error(string, quit=True):
	if (quit): exitPrompt("Error: %s" % string)
	else: print(string)

	@font-face {
	font-style: normal;
	font-weight: 400;
	font-family: "Open Sans";
	src: local("Droid Sans")
	}
	@font-face {
	font-style: normal;
	font-weight: 700;
	font-family: "Open Sans";

	HEX = ['0x', '$']
	LOOP = '\|'
	RELEASE = '/'
	class MML:
	def __init__(self, string):
	self.arr = []
	self.loop = None
	self.release = None

	a = string.split()