Amity comma

Revision as of 04:33, 7 December 2020 by FloraC (talk | contribs) (Use a simpler approach and add explanation thru the syntonic-chromatic equivalence continuum)

The amity comma, 1600000/1594323 = [9 -13 5, is an interval of 6.154 cents, the amount by which five minor whole tones (10/9) exceed the Pythagorean major sixth (27/16). It belongs to the syntonic-chromatic equivalence continuum and is equal to the difference between an apotome and a stack of five syntonic commas ((2187/2048)/(81/80)3), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)3). Tempering it out leads to the amity family of temperaments.

See also