32ed12: Difference between revisions

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 {{Infobox ET}}
-'''32ED12''' is the [[ED12|equal division of the twelfth harmonic]] into 32 equal parts. It is similar to [[9edo]], but has the [[12/1]] tuned just instead of 2/1. The octave is stretched significantly (by 9.9¢) and the step size is 134.436{{c}}. It can be used as a tuning for [[Pelog]], since Pelog is well approximated by 9edo with stretched octaves.
+{{ED intro}}
+== Theory ==
+ed12 is similar to [[9edo]], but has the 12th harmonic tuned just instead of the [[2/1|octave]], which stretches the octave by about 9.9{{c}}. It also approximates [[Pelog]] tunings in Indonesian gamelan music very well, since Pelog is well-approximated by [[9edo]] with stretched octaves.
+=== Harmonics ===
+{{Harmonics in equal|32|12|1|intervals=integer|columns=11}}
+{{Harmonics in equal|32|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 32ed12 (continued)}}
+=== Subsets and supersets ===
+Since 32 factors into primes as 2<sup>5</sup>, 32ed6 contains subset ed6's {{EDs|equave=6| 2, 4, 8, and 16 }}.
+== Intervals ==
+{{Interval table}}
+== See also ==
+* [[9edo]] – relative edo
+* [[14edt]] – relative edt
+* [[23ed6]] – relative ed6
+[[Category:Pelog]]