34691edo

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← 34690edo

34691edo

34692edo →

Prime factorization	113 × 307
Step size	0.0345911 ¢
Fifth	20293\34691 (701.957 ¢)
Semitones (A1:m2)	3287:2608 (113.7 ¢ : 90.21 ¢)
Consistency limit	41
Distinct consistency limit	41

34691edo is a zeta peak edo and zeta peak integer edo, consistent in the 41-odd-limit with a lower relative error than any previous equal temperaments in the 41-limit.

Prime harmonics

Approximation of prime harmonics in 34691edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31	37	41
Error	Absolute (¢)	+0.00000	+0.00228	-0.00026	+0.00174	-0.00492	+0.00158	-0.00600	+0.00507	+0.00388	-0.00757	-0.00084	-0.00507	+0.00565
	Relative (%)	+0.0	+6.6	-0.8	+5.0	-14.2	+4.6	-17.3	+14.7	+11.2	-21.9	-2.4	-14.7	+16.3
Steps (reduced)		34691 (0)	54984 (20293)	80550 (11168)	97390 (28008)	120011 (15938)	128372 (24299)	141798 (3034)	147365 (8601)	156927 (18163)	168528 (29764)	171866 (33102)	180721 (7266)	185859 (12404)