53ed7: Difference between revisions
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== Theory == | == Theory == | ||
53ed7 is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the [[2/1]] being just. The octave is about 7.6923 cents stretched. | 53ed7 is related to [[19edo]], [[30edt]], and [[Carlos Beta]], but with the 7/1 rather than the [[2/1]] being just. The octave is about 7.6923 cents stretched. Like 19edo, 53ed7 is [[consistent]] to the [[integer limit|10-integer-limit]], but the [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 16, with exception for [[11/1|11th harmonic]]. | ||
=== Harmonics === | === Harmonics === | ||
{{Harmonics in equal|53|7|1|intervals=integer|columns=11}} | {{Harmonics in equal|53|7|1|intervals=integer|columns=11}} | ||
{{Harmonics in equal|53|7|1|intervals=integer|columns=11|start=12|collapsed=1|title=Approximation of harmonics in 53ed7 (continued)}} | {{Harmonics in equal|53|7|1|intervals=integer|columns=11|start=12|collapsed=1|title=Approximation of harmonics in 53ed7 (continued)}} | ||
=== Subsets and supersets === | |||
53ed7 is the 16th [[prime equal division|prime ed7]]. It does not contain any nontrivial subset ed7's. | |||
== Intervals == | == Intervals == | ||
| Line 218: | Line 221: | ||
| 50 | | 50 | ||
| 3178.1 | | 3178.1 | ||
| [[50/8], [[56/9]] | | [[50/8]], [[56/9]] | ||
|- | |- | ||
| 51 | | 51 | ||
| Line 232: | Line 235: | ||
| [[7/1]] | | [[7/1]] | ||
|} | |} | ||
== See also == | |||
* [[11edf]] – relative edf | |||
* [[19edo]] – relative edo | |||
* [[30edt]] – relative edt | |||
* [[49ed6]] – relative ed6 | |||
* [[68ed12]] – relative ed12 | |||
* [[93ed30]] – relative ed30 | |||