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 |