114edt: Difference between revisions

Theory: +subsets and supersets
m See also: +258ed12
 
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== Theory ==
== Theory ==
114edt is related to [[72edo]], but with the 3/1 rather than the 2/1 being just, resulting in octaves being stretched by about 1.2347 cents. Like 72edo, 114edt is [[consistent]] to the [[integer limit|18-integer-limit]], and significantly improves on 72edo's approximation to 13.
114edt is related to [[72edo]], but with the [[3/1|perfect twelfth]] rather than the [[2/1|octave]] being just. The octave is stretched by about 1.23 cents. Like 72edo, 114edt is [[consistent]] to the [[integer limit|18-integer-limit]]. While its approximations to 2, [[7/1|7]] and [[11/1|11]] are sharp, the [[5/1|5]] and [[17/1|17]] are nearly pure, and the [[13/1|13]] is significantly improved compared to 72edo, although the [[19/1|19]] becomes much worse.  


=== Harmonics ===
=== Harmonics ===
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* [[72edo]] – relative edo
* [[72edo]] – relative edo
* [[186ed6]] – relative ed6
* [[186ed6]] – relative ed6
* [[258ed12]] – relative ed12