253389edo

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253389edo

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Prime factorization	3 × 84463
Step size	0.0047358 ¢
Fifth	148223\253389 (701.955 ¢)
Semitones (A1:m2)	24005:19052 (113.7 ¢ : 90.23 ¢)
Consistency limit	at least 43
Distinct consistency limit	at least 43

Theory

Approximation of prime harmonics in 253389edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00000	-0.00030	-0.00018	+0.00068	+0.00039	+0.00133	-0.00058	-0.00050	+0.00076	+0.00025	+0.00072
	Relative (%)	+0.0	-6.3	-3.8	+14.4	+8.2	+28.0	-12.2	-10.5	+16.0	+5.4	+15.1
Steps (reduced)		253389 (0)	401612 (148223)	588351 (81573)	711353 (204575)	876582 (116415)	937651 (177484)	1035718 (22162)	1076378 (62822)	1146221 (132665)	1230959 (217403)	1255339 (241783)

This EDO is consistent to the 59-odd-limit, and indeed is distinctly consistent up to that point. For that reason, it should attract considerable attention from those who are not put off by extremely small step sizes.