971edo

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971edo

972edo →

Prime factorization	971 (prime)
Step size	1.23584 ¢
Fifth	568\971 (701.957 ¢) (semiconvergent)
Semitones (A1:m2)	92:73 (113.7 ¢ : 90.22 ¢)
Consistency limit	9
Distinct consistency limit	9

971edo's fifth is only 0.00174 cents sharp of just, as it is the denominator of the first semiconvergent to log₂(3/2) past 389\665. It is consistent to the 9-odd-limit, but there is a large relative delta in its approximation to harmonic 5. Skipping the harmonic, it is a good 2.3.7.11.13.17 subgroup system.

Prime harmonics

Approximation of prime harmonics in 971edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	+0.002	+0.504	+0.072	-0.134	-0.157	+0.091	+0.324	-0.468	-0.123	+0.587
	Relative (%)	+0.0	+0.1	+40.8	+5.8	-10.8	-12.7	+7.4	+26.2	-37.9	-10.0	+47.5
Steps (reduced)		971 (0)	1539 (568)	2255 (313)	2726 (784)	3359 (446)	3593 (680)	3969 (85)	4125 (241)	4392 (508)	4717 (833)	4811 (927)

Subsets and supersets

971edo is the 164th prime edo.