1125edo

Revision as of 22:07, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)

1125edo divides the octave into parts of 1.066 cents each.

← 1124edo 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

Its divisors are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375.

Theory

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)

In the 11-limit, 1125edo tempers out 2401/2400, 4375/4374, and 250047/250000.