10ed11: Difference between revisions
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'''10ED11''' is the [[Ed11|equal division of the 11th harmonic]] into 10 parts of 415.1318 [[cent|cents]] each. It is related to the [[Avicennmic temperaments|roman temperament]], which tempers out 65/64, 85/84, 100/99, 105/104, 133/132, and 153/152 in the 2.3.5.7.11.13.19 subgroup, which is supported by [[26edo]] and [[29edo]]. | '''10ED11''' is the [[Ed11|equal division of the 11th harmonic]] into 10 parts of 415.1318 [[cent|cents]] each. It is related to the [[Avicennmic temperaments|roman temperament]], which tempers out 65/64, 85/84, 100/99, 105/104, 133/132, and 153/152 in the 2.3.5.7.11.13.19 subgroup, which is supported by [[26edo]] and [[29edo]]. | ||
Revision as of 23:52, 3 May 2025
| ← 9ed11 | 10ed11 | 11ed11 → |
(semiconvergent)
10ED11 is the equal division of the 11th harmonic into 10 parts of 415.1318 cents each. It is related to the roman temperament, which tempers out 65/64, 85/84, 100/99, 105/104, 133/132, and 153/152 in the 2.3.5.7.11.13.19 subgroup, which is supported by 26edo and 29edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 415.1318 | 19/15, 33/26, 14/11 | |
| 2 | 830.2636 | 21/13, 55/34, 13/8 | |
| 3 | 1245.3954 | 33/16 | |
| 4 | 1660.5272 | 13/5, 21/8 | |
| 5 | 2075.6590 | 33/10, 10/3 | |
| 6 | 2490.7908 | 80/19, 55/13 | |
| 7 | 2905.9226 | 16/3 | |
| 8 | 3321.0544 | 88/13, 34/5, 143/21 | |
| 9 | 3736.1861 | 26/3 | |
| 10 | 4151.3179 | exact 11/1 | undecimal fourth plus three octaves |