703edo: Difference between revisions
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Cleanup; -redundant categories |
m There was a typo in the ratio |
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{{EDO intro|703}} | {{EDO intro|703}} | ||
703 = 19 × 37, and the equal temperament [[tempering out|tempers out]] the [[enneadeca]], {{monzo| -14 -19 19 }}. In the 7-limit the [[patent val]] tempers out [[16875/16807]] and [[ | 703 = 19 × 37, and the equal temperament [[tempering out|tempers out]] the [[enneadeca]], {{monzo| -14 -19 19 }}. In the 7-limit the [[patent val]] tempers out [[16875/16807]] and [[65625/65536]] and in the 11-limit 1375/1372, [[540/539]] and [[3025/3024]], so that it [[support]]s and gives the [[optimal patent val]] for [[indra]] and [[eris]]. In the 13-limit, it tempers out [[729/728]], [[2080/2079]] and [[6656/6655]], and provides the optimal patent val for [[shibi]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|703}} | {{Harmonics in equal|703}} | ||
Revision as of 08:16, 22 October 2023
| ← 702edo | 703edo | 704edo → |
703 = 19 × 37, and the equal temperament tempers out the enneadeca, [-14 -19 19⟩. In the 7-limit the patent val tempers out 16875/16807 and 65625/65536 and in the 11-limit 1375/1372, 540/539 and 3025/3024, so that it supports and gives the optimal patent val for indra and eris. In the 13-limit, it tempers out 729/728, 2080/2079 and 6656/6655, and provides the optimal patent val for shibi.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.390 | -0.538 | +0.733 | -0.781 | +0.033 | -0.698 | +0.778 | -0.830 | -0.500 | +0.343 | -0.109 |
| Relative (%) | -22.9 | -31.5 | +42.9 | -45.7 | +2.0 | -40.9 | +45.6 | -48.6 | -29.3 | +20.1 | -6.4 | |
| Steps (reduced) |
1114 (411) |
1632 (226) |
1974 (568) |
2228 (119) |
2432 (323) |
2601 (492) |
2747 (638) |
2873 (61) |
2986 (174) |
3088 (276) |
3180 (368) | |