Bill Bremmer writes: >It should be said that all of these Meantone temperaments are defined by >the >Syntonic Comma, <snip> > The Syntonic Comma is the amount short of an >octave that you get when you tune 3 pure contiguous 3rds. That 21.5 cents >(theoretical) difference, gap or shortfall is called the Comma. Greetings, I must disagree. A pure M3 is 386 cents wide. Three of these span a distance of 1158 cents. An octave is 1200 cents wide. The difference between three Just contiguous thirds and an octave is a diesis, and it is approx. 41 cents. A syntonic comma is the difference between four just fifths and two Just octaves. See Jorgensen, "Tuning", pg 777 Regards, Ed Foote RPT
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