1125edo: Difference between revisions
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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. | ||
Revision as of 05:19, 9 July 2023
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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| ← 1124edo | 1125edo | 1126edo → |
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.