1590edo

← 1589edo

1590edo

1591edo →

Prime factorization	2 × 3 × 5 × 53
Step size	0.754717 ¢
Fifth	930\1590 (701.887 ¢) (→ 31\53)
Semitones (A1:m2)	150:120 (113.2 ¢ : 90.57 ¢)
Consistency limit	9
Distinct consistency limit	9

1590edo is consistent in the 9-odd-limit. Aside from that, it is a strong 2.3.17/10.7.11.13.19 subgroup tuning. It shares the 2.3.11 mapping with 159edo, step of which it divides in 10.

Prime harmonics

Approximation of prime harmonics in 15900edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	+0.0073	+0.0259	+0.0043	+0.0028	+0.0006	+0.0257	-0.0036	+0.0275	+0.0077	+0.0210
	Relative (%)	+0.0	+9.6	+34.3	+5.7	+3.7	+0.8	+34.1	-4.7	+36.5	+10.2	+27.9
Steps (reduced)		15900 (0)	25201 (9301)	36919 (5119)	44637 (12837)	55005 (7305)	58837 (11137)	64991 (1391)	67542 (3942)	71925 (8325)	77242 (13642)	78772 (15172)