9ed10
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This page presents a niche topic.
While not arbitrary, it may contain ideas whose practical applications in music are unknown or narrow in scope. Niche topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
| ← 8ed10 | 9ed10 | 10ed10 → |
(semiconvergent)
9ED10 is the equal division of the 10th harmonic into nine parts of 442.9237 cents each. It is related to the sensi temperament, which tempers out 91/90, 126/125, and 169/168 in the 2.3.5.7.13 subgroup, which is supported by 19edo, 27edo, 46edo, and 73edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 442.9237 | 9/7, 84/65, 13/10 | |
| 2 | 885.8475 | 5/3 | |
| 3 | 1328.7712 | 15/7, 28/13, 54/25, 13/6 | |
| 4 | 1771.6950 | (11/4), 36/13, 25/9, 39/14 | |
| 5 | 2214.6187 | 140/39, 18/5, 65/18, (40/11) | |
| 6 | 2657.5425 | 60/13, 65/14, 14/3 | |
| 7 | 3100.4662 | 6/1 | |
| 8 | 3543.3900 | 100/13, 54/7, 70/9 | |
| 9 | 3986.3137 | exact 10/1 | just major third plus three octaves |