72ed5: Difference between revisions

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== Theory ==
== Theory ==
72ed5 is related to [[31edo]], but with the 5/1 rather than the [[2/1]] being just. The octave is slightly compressed (about 0.3372 cents). This tuning has a meantone fifth as the number of divisions of the 5th harmonic is multiple of 4.
72ed5 is related to [[31edo]], but with the 5/1 rather than the [[2/1]] being just. The octave is slightly compressed (about 0.3372 cents). Like 31edo, 72ed5 is [[consistent]] through the [[integer limit|12-integer-limit]], but it has a flat tendency, with [[prime harmonic]]s 2, [[3/1|3]], [[7/1|7]], and [[11/1|11]] all tuned flat. It [[support]]s [[meantone]] as the number of divisions of the 5th harmonic is multiple of 4.


=== Harmonics ===
=== Harmonics ===
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* [[80ed6]] – relative ed6
* [[80ed6]] – relative ed6
* [[87ed7]] – relative ed7
* [[87ed7]] – relative ed7
* [[107ed11]] – relative ed11
* [[111ed12]] – relative ed12
* [[111ed12]] – relative ed12
* [[138ed22]] – relative ed22
* [[204ed96]] – close to the zeta-optimized tuning for 31edo
* [[39cET]]
* [[39cET]]
[[Category:31edo]]