16ed10: Difference between revisions
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Created page with "'''16ED10''' is the equal division of the 10th harmonic into 16 parts of 249.1446 cents each. It is related to the hemigari temperament..." Tags: Mobile edit Mobile web edit |
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{{Infobox ET}} | |||
'''16ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 16 parts of 249.1446 [[cent|cents]] each. It is related to the [[Schismatic family|hemigari temperament]], which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by [[29edo]] and [[53edo]]. | '''16ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 16 parts of 249.1446 [[cent|cents]] each. It is related to the [[Schismatic family|hemigari temperament]], which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by [[29edo]] and [[53edo]]. | ||
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| | just major third plus three octaves | | | just major third plus three octaves | ||
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Latest revision as of 19:20, 1 August 2025
| ← 15ed10 | 16ed10 | 17ed10 → |
16ED10 is the equal division of the 10th harmonic into 16 parts of 249.1446 cents each. It is related to the hemigari temperament, which tempers out 121/120, 169/168, 190/189, 209/208, and 225/224 in the 2.3.5.7.11.13.19 subgroup, which is supported by 29edo and 53edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 249.1446 | 38/33, 15/13, 52/45, 22/19 | |
| 2 | 498.2892 | 4/3 | |
| 3 | 747.4338 | 20/13, (17/11) | |
| 4 | 996.5784 | 16/9 | |
| 5 | 1245.7230 | 80/39 | |
| 6 | 1494.8676 | 64/27, 19/8 | |
| 7 | 1744.0122 | 30/11, 11/4 | |
| 8 | 1993.1569 | 60/19, 256/81, 405/128, 19/6 | |
| 9 | 2242.3015 | 40/11, 11/3 | |
| 10 | 2491.4461 | 21/5, 80/19, 135/32 | |
| 11 | 2740.5907 | 39/8 | |
| 12 | 2989.7353 | 28/5, 45/8 | |
| 13 | 3238.8799 | 13/2 | |
| 14 | 3488.0245 | 15/2 | |
| 15 | 3737.1691 | 95/11, 26/3 | |
| 16 | 3986.3137 | exact 10/1 | just major third plus three octaves |