1125edo: Difference between revisions

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{{novelty}}{{stub}}{{Infobox ET}}
{{Infobox ET}}
'''1125edo''' divides the octave into parts of 1.066 cents each.
'''1125edo''' divides the octave into parts of 1.066 cents each.



Revision as of 06:50, 9 July 2023

← 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

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.