53ed7: Difference between revisions

+see also
Theory: note consistency and +subsets and supersets
 
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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. The [[patent val]] has a generally sharp tendency for [[harmonic]]s up to 16, with exception for [[11/1|11th harmonic]].
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 ==