1L 8s

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This MOS, with a generator of up to 1/9edo (133.333 cents), represents temperaments like Miracle (2<L<3 s=1) and Negri (3<L<4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3/28edo (L near 4 s=3).

0/1 0
1/13 92.308
1/12 100 L/s = 4
2/23 104.348
1200/(8+pi)
1/11 109.091 Miracle generators from here... L/s = 3
1200/(8+e)
3/32 112.5
1200/(9+phi)
2/21 114.286
3/31 116.129
1/10 120 ...to here;

Negri generators from here...

Boundary of propriety:

generators larger than this are proper

1200/(8+sqrt(3))
4/39 123.077
3/29 124.138
1200/(8+phi)
5/48 125
1200/(8+pih)
2/19 126.316 ...to here
5/47 127.66
3/28 128.571
4/37 129.73
1/9 133.333