638edo: Difference between revisions
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Since 638 factors as 2 × 11 × 29, 638edo has subset edos {{EDOs| 2, 11, 22, 29, 58, and 319 }}. | Since 638 factors as 2 × 11 × 29, 638edo has subset edos {{EDOs| 2, 11, 22, 29, 58, and 319 }}. | ||
[[ | [[Category:Quatracot]] | ||
Revision as of 07:34, 25 October 2023
| ← 637edo | 638edo | 639edo → |
The equal temperament tempers out the minortone comma, [-16 35 -17⟩, in the 5-limit, 4375/4374 in the 7-limit, 3025/3024, 9801/9800, and 43923/43904, in the 11-limit; and 625/624, 729/728, 1575/1573, 2200/2197 and 4225/4224 in the 13-limit. It supplies the optimal patent val for quatracot, the 224 & 414 temperament.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.388 | -0.734 | -0.174 | -0.775 | -0.221 | +0.225 | +0.759 | +0.374 | -0.334 | -0.561 | -0.061 |
| Relative (%) | -20.6 | -39.0 | -9.2 | -41.2 | -11.7 | +11.9 | +40.4 | +19.9 | -17.8 | -29.9 | -3.3 | |
| Steps (reduced) |
1011 (373) |
1481 (205) |
1791 (515) |
2022 (108) |
2207 (293) |
2361 (447) |
2493 (579) |
2608 (56) |
2710 (158) |
2802 (250) |
2886 (334) | |
Subsets and supersets
Since 638 factors as 2 × 11 × 29, 638edo has subset edos 2, 11, 22, 29, 58, and 319.