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Created page with "'''10ED11''' is the equal division of the 11th harmonic into 10 parts of 415.1318 cents each. It is related to the 19-limit temperament which tempers out 57/..." |
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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 | '''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]]. | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 15: | Line 15: | ||
| | 1 | | | 1 | ||
| | 415.1318 | | | 415.1318 | ||
| | [[19/15]], 33/26 | | | [[19/15]], 33/26, [[14/11]] | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 830.2636 | | | 830.2636 | ||
| | | | | 21/13, 55/34, [[13/8]] | ||
| | | | | | ||
|- | |- | ||
| Line 30: | Line 30: | ||
| | 4 | | | 4 | ||
| | 1660.5272 | | | 1660.5272 | ||
| | [[13/5]] | | | [[13/5]], [[21/16|21/8]] | ||
| | | | | | ||
|- | |- | ||
| Line 50: | Line 50: | ||
| | 8 | | | 8 | ||
| | 3321.0544 | | | 3321.0544 | ||
| | [[ | | | [[88/13]], [[17/10|34/5]], 143/21 | ||
| | | | | | ||
|- | |- | ||
Revision as of 08:29, 19 January 2019
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 |