532edo: Difference between revisions
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==Theory== | ==Theory== | ||
{{harmonics in equal|532}} | {{harmonics in equal|532}} | ||
Since 532 = 19 x 28, 532edo tempers out both the [[enneadeca]], which sets 6/5 to be 5\19 of the octave, and the [[oquatonic comma]], which sets 5/4 to be 9\28 of the octave. Therefore, it can be conceptualized as superset of [[19edo]] and [[28edo]]. | |||
In addition to the enneadecal and oquatonic, it also supports [[untriton]] in the 5-limit. | |||
Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the [[dimcomp comma]]. In the 532d val it tempers out 4375/4374. | |||
In the 11-limit, 532d val supports the [[hemienneadecal]] temperament. | |||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 18:01, 25 August 2022
| ← 531edo | 532edo | 533edo → |
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.451 | -0.599 | +1.099 | -0.942 | +0.826 | +1.060 | +0.231 | +1.049 | -1.006 | +0.829 |
| Relative (%) | +0.0 | -20.0 | -26.6 | +48.7 | -41.8 | +36.6 | +47.0 | +10.3 | +46.5 | -44.6 | +36.8 | |
| Steps (reduced) |
532 (0) |
843 (311) |
1235 (171) |
1494 (430) |
1840 (244) |
1969 (373) |
2175 (47) |
2260 (132) |
2407 (279) |
2584 (456) |
2636 (508) | |
Since 532 = 19 x 28, 532edo tempers out both the enneadeca, which sets 6/5 to be 5\19 of the octave, and the oquatonic comma, which sets 5/4 to be 9\28 of the octave. Therefore, it can be conceptualized as superset of 19edo and 28edo.
In addition to the enneadecal and oquatonic, it also supports untriton in the 5-limit.
Its 7th harmonic is halfway between two notes. In the patent val, 532edo tempers out 65625/65536 and the dimcomp comma. In the 532d val it tempers out 4375/4374.
In the 11-limit, 532d val supports the hemienneadecal temperament.