Syntonic–chromatic equivalence continuum

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The syntonic-chromatic equivalence continuum is a continuum of temperaments which equate a number of syntonic commas (81/80) with the chromatic semitone (2187/2048).

All temperaments in the continuum satisfies (81/80)n ~ 2187/2048. Varying n results in different temperaments such as whitewood, mavila, dicot, porcupine, tetracot, amity, gravity, and absurdity. It converges to meantone as n approaches infinity. The just value of n is 5.2861…

Temperaments in the continuum
n Temperament Comma
0 Whitewood 2187/2048
1 Mavila 135/128
2 Dicot 25/24
3 Porcupine 250/243
4 Tetracot 20000/19683
5 Amity 1600000/1594323
6 Gravity 129140163/128000000
7 Absurdity 10460353203/10240000000
Inf Meantone 81/80