Ditonic comma

[Paul N. Bailey]

Ditonic (not diatonic) comma:

	the excess of twelve just fifths over seven just octaves.
	Its ratio is 531441 to 524288, and it is 23.46 cents in
	size. This is also known as the Pythagorean comma.


	log10(frequency of interest / frequency of reference)* 3986.3137=
	interval size in cents.

	(3/2)^12=129.746338

	2^7=128

	129.746338/128=1.01364326

	log(1.01364326)=0.00588514

	0.00588514*3986.3137=23.4600103 cents

	23.4600103/12=1.95500086 cents


	Paul Bailey RPT
	San Mateo CA
	103445,713@compuserve.com