11ed10: Difference between revisions
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Created page with "'''11ED10''' is the equal division of the 10th harmonic into 11 parts of 362.3922 cents each. It is related to the Marvel temperaments|submajor temperament..." |
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'''11ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 11 parts of 362.3922 [[cent|cents]] each. It is related to the [[Marvel temperaments|submajor temperament]], which tempers out 169/168, 225/224, 275/273, and 385/384 in the 13-limit. | '''11ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 11 parts of 362.3922 [[cent|cents]] each. It is related to the [[Marvel temperaments|submajor temperament]], which tempers out 169/168, 225/224, 275/273, and 385/384 in the 13-limit. | ||
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| | just major third plus three octaves | | | just major third plus three octaves | ||
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Latest revision as of 22:15, 10 August 2025
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This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
| ← 10ed10 | 11ed10 | 12ed10 → |
(semiconvergent)
11ED10 is the equal division of the 10th harmonic into 11 parts of 362.3922 cents each. It is related to the submajor temperament, which tempers out 169/168, 225/224, 275/273, and 385/384 in the 13-limit.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 362.3922 | 16/13 | |
| 2 | 724.7843 | 32/21, 55/36 | |
| 3 | 1087.1765 | 15/8 | |
| 4 | 1449.5686 | 30/13 | |
| 5 | 1811.9608 | 20/7 | |
| 6 | 2174.3529 | 7/2 | |
| 7 | 2536.7451 | 13/3 | |
| 8 | 2899.1372 | 16/3 | |
| 9 | 3261.5294 | 72/11 | |
| 10 | 3623.9216 | 65/8 | |
| 11 | 3986.3137 | exact 10/1 | just major third plus three octaves |