1125edo: Difference between revisions
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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. | '''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}}. | Its divisors are {{EDOs|1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375}}. | ||
==Theory== | ==Theory== | ||
{{harmonics in equal|1125}} | {{harmonics in equal|1125}} | ||
In the 11-limit, 1125edo tempers out [[2401/2400]], [[4375/4374]], and [[250047/250000]]. | In the 11-limit, 1125edo tempers out [[2401/2400]], [[4375/4374]], and [[250047/250000]]. | ||
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number --> | |||
Revision as of 01:11, 4 July 2022
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
| 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.