583edo

← 582edo

583edo

584edo →

Prime factorization	11 × 53
Step size	2.05832 ¢
Fifth	341\583 (701.887 ¢) (→ 31\53)
Semitones (A1:m2)	55:44 (113.2 ¢ : 90.57 ¢)
Consistency limit	11
Distinct consistency limit	11

This system apparently is at its best in the 2.3.11.17 subgroup. It also supports iodine up to the 11-limit, or using the 583f val, up to the 17-limit.

Prime harmonics

Approximation of prime harmonics in 583edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31	37
Error	Absolute (¢)	+0.000	-0.068	+0.650	+0.642	+0.312	-0.733	+0.019	+0.943	-0.487	-0.418	-0.610	-0.229
	Relative (%)	+0.0	-3.3	+31.6	+31.2	+15.1	-35.6	+0.9	+45.8	-23.7	-20.3	-29.6	-11.1
Steps (reduced)		583 (0)	924 (341)	1354 (188)	1637 (471)	2017 (268)	2157 (408)	2383 (51)	2477 (145)	2637 (305)	2832 (500)	2888 (556)	3037 (122)

Subsets and supersets

Since 583 factors into 11 × 53, 583edo contains 11edo and 53edo as subsets.