534edo: Difference between revisions
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Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|534}} | |||
534edo is [[consistent]] to the [[7-odd-limit]], but the error of [[harmonic]] [[3/1|3]] is quite large. The [[patent val]] [[tempering out|tempers out]] [[2401/2400]] and [[19683/19600]] in the 7-limit and provides the [[optimal patent val]] for 7-limit [[harry]] temperament. | |||
=== Odd harmonics === | |||
{{Harmonics in equal|534}} | |||
=== Subsets and supersets === | |||
Since 534 factors into 2 × 3 × 89, 534edo has subset edos {{EDOs| 2, 3, 6, 89, 178, and 267 }}. | |||
[[Category:Harry]] | [[Category:Harry]] | ||
Revision as of 11:20, 29 October 2023
| ← 533edo | 534edo | 535edo → |
534edo is consistent to the 7-odd-limit, but the error of harmonic 3 is quite large. The patent val tempers out 2401/2400 and 19683/19600 in the 7-limit and provides the optimal patent val for 7-limit harry temperament.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.831 | +0.203 | -0.287 | +0.584 | -0.756 | -0.078 | -0.628 | +0.663 | -0.884 | -1.118 | +0.939 |
| Relative (%) | -37.0 | +9.0 | -12.8 | +26.0 | -33.6 | -3.5 | -28.0 | +29.5 | -39.3 | -49.8 | +41.8 | |
| Steps (reduced) |
846 (312) |
1240 (172) |
1499 (431) |
1693 (91) |
1847 (245) |
1976 (374) |
2086 (484) |
2183 (47) |
2268 (132) |
2345 (209) |
2416 (280) | |
Subsets and supersets
Since 534 factors into 2 × 3 × 89, 534edo has subset edos 2, 3, 6, 89, 178, and 267.