17ed10
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Prime factorization
17 (prime)
Step size
234.489¢
Octave
5\17ed10 (1172.45¢)
Twelfth
8\17ed10 (1875.91¢)
(semiconvergent)
Consistency limit
9
Distinct consistency limit
4
| ← 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 |