5941edo

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5941edo

5942edo →

Prime factorization	13 × 457
Step size	0.201986 ¢
Fifth	3475\5941 (701.902 ¢)
Semitones (A1:m2)	561:448 (113.3 ¢ : 90.49 ¢)
Consistency limit	3
Distinct consistency limit	3

Theory

Approximation of odd harmonics in 5941edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.0530	+0.0859	-0.1001	+0.0961	-0.0976	-0.0631	+0.0329	+0.0774	+0.0127	+0.0489	-0.0973
	Relative (%)	-26.2	+42.5	-49.6	+47.6	-48.3	-31.2	+16.3	+38.3	+6.3	+24.2	-48.2
Steps (reduced)		9416 (3475)	13795 (1913)	16678 (4796)	18833 (1010)	20552 (2729)	21984 (4161)	23211 (5388)	24284 (520)	25237 (1473)	26095 (2331)	26874 (3110)

As the zeta valley edo after 79edo, it approximates prime harmonics with very high errors. In particular, the 7th, 9th and 11th harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9².7².11² subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.

Rather fittingly, it has a consistency limit of 3.