1125edo

Revision as of 08:22, 12 March 2022 by Eliora (talk | contribs) (Created page with "1125edo divides the octave into parts of 1.066 cents each. Its divisors are {{EDOs|1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375}}. ==Theory== {{harmonics in equal|1125}} In the...")
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1125edo divides the octave into parts of 1.066 cents each.

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.