17ed10: Difference between revisions
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Created page with "'''17ED10''' is the equal division of the 10th harmonic into 17 parts of 234.4890 cents each. It is related to the rodan temperament, whi..." Tags: Mobile edit Mobile web edit |
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{{Infobox ET}} | |||
'''17ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 17 parts of 234.4890 [[cent|cents]] each. It is related to the [[Gamelismic clan|rodan temperament]], which tempers out 196/195, 245/243, 352/351, and 364/363 in the 13-limit, which is supported by [[41edo]], [[46edo]], and [[87edo]]. | '''17ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 17 parts of 234.4890 [[cent|cents]] each. It is related to the [[Gamelismic clan|rodan temperament]], which tempers out 196/195, 245/243, 352/351, and 364/363 in the 13-limit, which is supported by [[41edo]], [[46edo]], and [[87edo]]. | ||
| Line 15: | Line 16: | ||
| | 1 | | | 1 | ||
| | 234.4890 | | | 234.4890 | ||
| | [[8/7]] | | | [[8/7]], [[55/48]] | ||
| | | | | | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | 468.9781 | | | 468.9781 | ||
| | [[21/16]] | | | 72/55, [[21/16]] | ||
| | | | | | ||
|- | |- | ||
| Line 30: | Line 31: | ||
| | 4 | | | 4 | ||
| | 937.9562 | | | 937.9562 | ||
| | [[12/7]] | | | [[12/7]], 55/32, 112/65 | ||
| | | | | | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | 1172.4452 | | | 1172.4452 | ||
| | 63/32 | | | 63/32, 128/65, [[160/81]] | ||
| | | | | | ||
|- | |- | ||
| Line 50: | Line 51: | ||
| | 8 | | | 8 | ||
| | 1875.9123 | | | 1875.9123 | ||
| | 189/64, [[40/27|80/27]] | | | 189/64, 192/65, [[40/27|80/27]] | ||
| | | | | | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | 2110.4014 | | | 2110.4014 | ||
| | [[27/16|27/8]], 640/189 | | | [[27/16|27/8]], 325/96, 640/189 | ||
| | | | | | ||
|- | |- | ||
| Line 70: | Line 71: | ||
| | 12 | | | 12 | ||
| | 2813.8685 | | | 2813.8685 | ||
| | 320/63 | | | [[81/64|81/16]], 325/64, 320/63 | ||
| | | | | | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | 3048.3575 | | | 3048.3575 | ||
| | 35/6 | | | 325/56, [[16/11|64/11]], 35/6 | ||
| | | | | | ||
|- | |- | ||
| Line 85: | Line 86: | ||
| | 15 | | | 15 | ||
| | 3517.3356 | | | 3517.3356 | ||
| | [[40/21|160/21]] | | | [[40/21|160/21]], 275/36 | ||
| | | | | | ||
|- | |- | ||
| | 16 | | | 16 | ||
| | 3751.8247 | | | 3751.8247 | ||
| | [[35/32|35/4]] | | | [[12/11|96/11]], [[35/32|35/4]] | ||
| | | | | | ||
|- | |- | ||
| Line 98: | Line 99: | ||
| | just major third plus three octaves | | | just major third plus three octaves | ||
|} | |} | ||
Latest revision as of 19:20, 1 August 2025
| ← 16ed10 | 17ed10 | 18ed10 → |
(semiconvergent)
17ED10 is the equal division of the 10th harmonic into 17 parts of 234.4890 cents each. It is related to the rodan temperament, which tempers out 196/195, 245/243, 352/351, and 364/363 in the 13-limit, which is supported by 41edo, 46edo, and 87edo.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 234.4890 | 8/7, 55/48 | |
| 2 | 468.9781 | 72/55, 21/16 | |
| 3 | 703.4671 | 3/2 | |
| 4 | 937.9562 | 12/7, 55/32, 112/65 | |
| 5 | 1172.4452 | 63/32, 128/65, 160/81 | |
| 6 | 1406.9343 | 9/4 | |
| 7 | 1641.4233 | 18/7 | |
| 8 | 1875.9123 | 189/64, 192/65, 80/27 | |
| 9 | 2110.4014 | 27/8, 325/96, 640/189 | |
| 10 | 2344.8904 | 35/9 | |
| 11 | 2579.3795 | 40/9 | |
| 12 | 2813.8685 | 81/16, 325/64, 320/63 | |
| 13 | 3048.3575 | 325/56, 64/11, 35/6 | |
| 14 | 3282.8466 | 20/3 | |
| 15 | 3517.3356 | 160/21, 275/36 | |
| 16 | 3751.8247 | 96/11, 35/4 | |
| 17 | 3986.3137 | exact 10/1 | just major third plus three octaves |