99edo: Difference between revisions
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{{Harmonics in ED|99}} | {{Harmonics in ED|99}} | ||
=== Edostep interpretations === | === Edostep interpretations === | ||
1\99 represents the following 7-limit ratios: | |||
* 126/125 | |||
* 225/224 | |||
* 1029/1024 | |||
=== Temperaments === | === Temperaments === | ||
99edo notably supports | 99edo notably supports | ||
Revision as of 04:05, 8 April 2026
99edo is an equal tuning with steps of size 12.12... cents. It is known for being very accurate in the 7-limit.
Theory
Prime approximations
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | 0.0 | +1.1 | +1.6 | +0.9 | -5.9 | -4.2 | +4.1 | +5.5 | +2.0 | +0.7 | -5.6 |
| Relative (%) | 0.0 | +8.9 | +12.9 | +7.2 | -48.4 | -34.4 | +34.1 | +45.5 | +16.7 | +6.0 | -46.5 | |
| Steps (reduced) |
99 (0) |
157 (58) |
230 (32) |
278 (80) |
342 (45) |
366 (69) |
405 (9) |
421 (25) |
448 (52) |
481 (85) |
490 (94) | |
Edostep interpretations
1\99 represents the following 7-limit ratios:
- 126/125
- 225/224
- 1029/1024
Temperaments
99edo notably supports
Derivation
Todo: Derive 99edo from
- Didacus
- Aberschismic
- Don't temper out 81/80, 64/63, or 128/125
- Ennealimmal
