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 1590edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.068	+0.101	+0.231	-0.375	+0.227	-0.050	-0.155	-0.350	-0.143	-0.130
	Relative (%)	+0.0	-9.0	+13.4	+30.6	-49.6	+30.1	-6.6	-20.5	-46.4	-19.0	-17.2
Steps (reduced)		1590 (0)	2520 (930)	3692 (512)	4464 (1284)	5500 (730)	5884 (1114)	6499 (139)	6754 (394)	7192 (832)	7724 (1364)	7877 (1517)