954edo
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954edo is a very strong 17-limit system, uniquely consistent in the 17-limit, and is a zeta peak, integral and gap edo. The tuning of the primes to 17 are all flat, and it tempers out the ennealimma, [1 -27 18⟩, in the 5-limit and 2401/2400 and 4375/4374 in the 7-limit, so that it supports the ennealimmal temperament. In the 11-limit it tempers out 3025/3024, 9801/9800, 43923/43904, and 151263/151250 so that it supports hemiennealimmal. In the 13-limit it tempers out 4225/4224 and 10648/10647 and in the 17-limit 2431/2430 and 2601/2600. It supports and gives the optimal patent val for the semihemiennealimmal temperament.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.068 | -0.150 | -0.272 | -0.375 | -0.276 | -0.553 | +0.600 | -0.601 | +0.611 | -0.381 |
| Relative (%) | +0.0 | -5.4 | -11.9 | -21.7 | -29.8 | -21.9 | -44.0 | +47.7 | -47.8 | +48.6 | -30.3 | |
| Steps (reduced) |
954 (0) |
1512 (558) |
2215 (307) |
2678 (770) |
3300 (438) |
3530 (668) |
3899 (83) |
4053 (237) |
4315 (499) |
4635 (819) |
4726 (910) | |
Divisors
Since 954 = 2 × 32 × 53, 954edo has subset edos 2, 3, 6, 9, 18, 53, 106, 159, 318, 477.