14348edo

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14348edo

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Prime factorization	22 × 17 × 211
Step size	0.0836353 ¢
Fifth	8393\14348 (701.951 ¢)
Semitones (A1:m2)	1359:1079 (113.7 ¢ : 90.24 ¢)
Consistency limit	29
Distinct consistency limit	29

14348edo is a strong 17-limit system, with a lower 17-limit relative error than any smaller edo aside from 7033. It is also distinctly consistent in the 29-odd-limit, and has a lower 23-limit relative error than any lower division aside from 2460, 8269, 8539 and 11664. Besides all that it is a zeta peak, integral and gap edo. It factors as 2² × 17 × 211, so 17, 34, 68 and 422 are all divisors.

Prime harmonics

Approximation of prime harmonics in 14348edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0035	-0.0020	+0.0060	+0.0063	+0.0076	+0.0070	-0.0221	-0.0056	-0.0260	+0.0160
	Relative (%)	+0.0	-4.2	-2.4	+7.2	+7.5	+9.1	+8.3	-26.4	-6.7	-31.1	+19.1
Steps (reduced)		14348 (0)	22741 (8393)	33315 (4619)	40280 (11584)	49636 (6592)	53094 (10050)	58647 (1255)	60949 (3557)	64904 (7512)	69702 (12310)	71083 (13691)