102557edo

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102557edo

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Prime factorization	73 × 13 × 23
Step size	0.0117008 ¢
Fifth	59992\102557 (701.955 ¢)
Semitones (A1:m2)	9716:7711 (113.7 ¢ : 90.22 ¢)
Consistency limit	39
Distinct consistency limit	39

It is notable for being a high-limit system and is the first non-trivial EDO to be consistent in the 32-odd-prime-sum-limit.

Approximation of prime harmonics in 102557edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31	37	41
Error	Absolute (¢)	+0.00000	+0.00001	+0.00024	+0.00118	+0.00084	+0.00004	+0.00086	+0.00349	+0.00066	+0.00050	+0.00572	+0.00107	-0.00539
	Relative (%)	+0.0	+0.1	+2.0	+10.1	+7.1	+0.4	+7.3	+29.8	+5.6	+4.3	+48.9	+9.1	-46.1
Steps (reduced)		102557 (0)	162549 (59992)	238130 (33016)	287914 (82800)	354789 (47118)	379506 (71835)	419198 (8970)	435655 (25427)	463923 (53695)	498220 (87992)	508088 (97860)	534266 (21481)	549454 (36669)