58973edo

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← 58972edo

58973edo

58974edo →

Prime factorization	17 × 3469
Step size	0.0203483 ¢
Fifth	34497\58973 (701.955 ¢)
Semitones (A1:m2)	5587:4434 (113.7 ¢ : 90.22 ¢)
Consistency limit	47
Distinct consistency limit	47

58973edo is a zeta peak, integral, and gap edo. It is distinctly consistent in the 47-odd-limit, and has lower relative errors than any smaller equal temperaments in the 37-limit and way beyond.

Prime harmonics

Approximation of prime harmonics in 58973edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31	37	41	43	47
Error	Absolute (¢)	+0.00000	+0.00013	-0.00133	-0.00289	-0.00124	-0.00064	+0.00110	-0.00060	-0.00039	+0.00584	+0.00368	-0.00190	+0.00174	-0.00227	+0.00471
	Relative (%)	+0.0	+0.6	-6.6	-14.2	-6.1	-3.1	+5.4	-2.9	-1.9	+28.7	+18.1	-9.3	+8.6	-11.1	+23.2
Steps (reduced)		58973 (0)	93470 (34497)	136931 (18985)	165558 (47612)	204013 (27094)	218226 (41307)	241050 (5158)	250513 (14621)	266768 (30876)	286490 (50598)	292164 (56272)	307217 (12352)	315951 (21086)	320003 (25138)	327571 (32706)