1L 8s: Difference between revisions
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miracle is quite an accurate temperament... it's misleading to show such a large range |
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| Line 54: | Line 54: | ||
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| | 109.091 | | | 109.091 | ||
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| style="text-align:center;" | L/s = 3 | | style="text-align:center;" | L/s = 3 | ||
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| Line 99: | Line 99: | ||
| | 3/31 | | | 3/31 | ||
| | 116.129 | | | 116.129 | ||
| style="text-align:center;" | | | style="text-align:center;" | Miracle is around here | ||
| style="text-align:center;" | | | style="text-align:center;" | | ||
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| Line 108: | Line 108: | ||
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| | 120 | | | 120 | ||
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Negri generators from here... | Negri generators from here... | ||
Revision as of 22:41, 19 April 2021
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 | L/s = 3 | |||||
| 1200/(8+e) | |||||||
| 3/32 | 112.5 | ||||||
| 1200/(9+phi) | |||||||
| 2/21 | 114.286 | ||||||
| 3/31 | 116.129 | Miracle is around here | |||||
| 1/10 | 120 |
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 |