114edt: Difference between revisions

Theory: note its sharp tunings of 7 and 11
m See also: +258ed12
 
(One intermediate revision by the same user not shown)
Line 3: Line 3:


== Theory ==
== Theory ==
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, it significantly improves on 72edo's approximation to [[13/1|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 ===
Line 18: Line 18:
* [[72edo]] – relative edo
* [[72edo]] – relative edo
* [[186ed6]] – relative ed6
* [[186ed6]] – relative ed6
* [[258ed12]] – relative ed12