3696edo

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3696edo

3697edo →

Prime factorization	24 × 3 × 7 × 11
Step size	0.324675 ¢
Fifth	2162\3696 (701.948 ¢) (→ 1081\1848)
Semitones (A1:m2)	350:278 (113.6 ¢ : 90.26 ¢)
Consistency limit	17
Distinct consistency limit	17

Theory

3696edo is consistent in the 17-odd-limit. It is also an excellent no-19s 29-limit tuning.

It is contorted in the 11-limit, sharing the mapping with 1848edo.

Harmonics

Approximation of prime harmonics in 3696edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.007	+0.050	+0.005	-0.019	+0.057	-0.085	-0.110	-0.028	-0.032	+0.094
	Relative (%)	+0.0	-2.1	+15.4	+1.6	-5.9	+17.5	-26.3	-34.0	-8.5	-9.8	+29.0
Steps (reduced)		3696 (0)	5858 (2162)	8582 (1190)	10376 (2984)	12786 (1698)	13677 (2589)	15107 (323)	15700 (916)	16719 (1935)	17955 (3171)	18311 (3527)