1125edo

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1125edo

1126edo →

Prime factorization	32 × 53
Step size	1.06667 ¢
Fifth	658\1125 (701.867 ¢)
Semitones (A1:m2)	106:85 (113.1 ¢ : 90.67 ¢)
Consistency limit	15
Distinct consistency limit	15

1125edo is a good 13-limit system, distinctly consistent to the 15-odd-limit, and the no-11 or no-17 29-odd-limit. The equal temperament tempers out 2401/2400, 4375/4374, and 250047/250000 in the 7-limit, supporting ennealimmal.

Prime harmonics

Approximation of prime harmonics in 1125edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.000	-0.088	-0.180	-0.293	+0.149	+0.006	-0.422	+0.087	-0.008	-0.244	-0.502
	Relative (%)	+0.0	-8.3	-16.9	-27.4	+13.9	+0.5	-39.6	+8.2	-0.7	-22.9	-47.1
Steps (reduced)		1125 (0)	1783 (658)	2612 (362)	3158 (908)	3892 (517)	4163 (788)	4598 (98)	4779 (279)	5089 (589)	5465 (965)	5573 (1073)

Subsets and supersets

Snce 1125 factors into 3² × 5³, 1125edo has subset edos 3, 5, 9, 15, 25, 45, 75, 125, 225, 375.