Syntonic–chromatic equivalence continuum
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…
| 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 |