988edo: Difference between revisions
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Created page with "{{EDO intro|988}} == Theory == {{Harmonics in equal|988}} 988edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong hi..." |
"Infamous" means "having a bad reputation", which isn't appropriate here. Also +category and misc fixes |
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== Theory == | == Theory == | ||
988edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong higher-limit system. It is double the famous [[494edo]], and with the same mapping for the 17-limit. To break the contorsion, 988d val can be used. | |||
In the 2.5.11.13.19.41.47 it supports a 988 & [[2016edo|2016]] temperament.<!-- why is it notable? --> | |||
=== Prime harmonics === | |||
{{Harmonics in equal|988}} | {{Harmonics in equal|988}} | ||
[[Category:Equal divisions of the octave]] | |||
Revision as of 12:19, 29 April 2022
Theory
988edo provides excellent tuning for the 2, 3, 5, 11, 13, 19, 37, 43, 47, 53, and 59th harmonics, making a strong higher-limit system. It is double the famous 494edo, and with the same mapping for the 17-limit. To break the contorsion, 988d val can be used.
In the 2.5.11.13.19.41.47 it supports a 988 & 2016 temperament.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.069 | -0.079 | +0.405 | +0.099 | -0.042 | -0.502 | +0.058 | -0.339 | +0.382 | +0.309 |
| Relative (%) | +0.0 | +5.7 | -6.5 | +33.3 | +8.2 | -3.4 | -41.3 | +4.8 | -27.9 | +31.5 | +25.4 | |
| Steps (reduced) |
988 (0) |
1566 (578) |
2294 (318) |
2774 (798) |
3418 (454) |
3656 (692) |
4038 (86) |
4197 (245) |
4469 (517) |
4800 (848) |
4895 (943) | |