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