639edo: Difference between revisions
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== Theory == | == Theory == | ||
639edo is distinctly [[consistent]] in the [[17-odd-limit]]. It has a sharp tendency, with harmonics of 3 to 17 all tuned sharp. The 639h val gives a reasonable approximation of harmonic 19, where it tempers out [[2401/2400]] and [[4375/4374]] in the 7-limit; [[5632/5625]] and [[19712/19683]] in the 11-limit; [[2080/2079]] and 4459/4455 in the 13-limit; [[1156/1155]], 2058/2057, and [[2601/2600]] in the 17-limit; [[1216/1215]], [[1445/1444]], 1540/1539, 2376/2375, and 2926/2925 in the 19-limit. It supports 11-limit [[ennealimmal]] and its 13-limit extension ennealimmalis. | 639edo is distinctly [[consistent]] in the [[17-odd-limit]]. It has a sharp tendency, with harmonics of 3 to 17 all tuned sharp. The 639h val gives a reasonable approximation of harmonic 19, where it tempers out [[2401/2400]] and [[4375/4374]] in the 7-limit; [[5632/5625]] and [[19712/19683]] in the 11-limit; [[2080/2079]] and 4459/4455 in the 13-limit; [[1156/1155]], [[2058/2057]], and [[2601/2600]] in the 17-limit; [[1216/1215]], [[1445/1444]], 1540/1539, 2376/2375, and 2926/2925 in the 19-limit. It supports 11-limit [[ennealimmal]] and its 13-limit extension ennealimmalis. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|639|columns=11}} | {{Harmonics in equal|639|columns=11}} | ||
=== | === Subsets and supersets === | ||
Since 639 = 3<sup>2</sup> × 71, it has subset edos {{EDOs| 3, 9, 71, and 213 }}. | Since 639 = 3<sup>2</sup> × 71, it has subset edos {{EDOs| 3, 9, 71, and 213 }}. | ||
== Regular temperament properties == | == Regular temperament properties == | ||