954edo

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← 953edo

954edo

955edo →

Prime factorization	2 × 32 × 53
Step size	1.25786 ¢
Fifth	558\954 (701.887 ¢) (→ 31\53)
Semitones (A1:m2)	90:72 (113.2 ¢ : 90.57 ¢)
Consistency limit	17
Distinct consistency limit	17

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

Approximation of prime harmonics in 954edo

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.