988edo
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The 988 equal divisions of the octave (988edo), or the 988-tone equal temperament (988tet), 988 equal temperament (988et) when viewed from a regular temperament perspective, divides the octave into 988 equal parts of about 1.21 cents each.
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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | +0.069 | -0.079 | +0.405 | +0.099 | -0.042 | -0.502 | +0.058 | -0.339 | +0.382 |
| relative (%) | +0 | +6 | -6 | +33 | +8 | -3 | -41 | +5 | -28 | +31 | |
| Steps (reduced) |
988 (0) |
1566 (578) |
2294 (318) |
2774 (798) |
3418 (454) |
3656 (692) |
4038 (86) |
4197 (245) |
4469 (517) |
4800 (848) | |