1L 9s
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This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
| Generator
(octave fraction) |
Generator
(cents) |
Comments | ||||
|---|---|---|---|---|---|---|
| 0\1 | 0 | |||||
| 1\14 | 85.714 | |||||
| 1\13 | 92.308 | L/s = 4 | ||||
| 2\25 | 96 | |||||
| 1200/(9+pi) | ||||||
| 1\12 | 100 | L/s = 3 | ||||
| 1200/(9+e) | ||||||
| 3\35 | 102.857 | |||||
| 1200/(10+phi) | ||||||
| 2\23 | 104.348 | |||||
| 3\34 | 105.882 | |||||
| 1\11 | 109.091 | |||||
| 1200/(9+sqrt(3)) | ||||||
| 4\43 | 111.628 | |||||
| 3\32 | 112.5 | |||||
| 1200/(9+phi) | ||||||
| 5\53 | 113.2075 | |||||
| 1200/(9+pi/2) | ||||||
| 2\21 | 114.286 | |||||
| 5\52 | 115.385 | |||||
| 3\31 | 116.129 | |||||
| 4\41 | 117.073 | |||||
| 1\10 | 120 | |||||