23ed6: Difference between revisions

(9 intermediate revisions by 3 users not shown)

Line 1:

~~'''23ED6''' is the [[ED6|equal division of the sixth harmonic]] into 23 equal parts. It~~ is similar to [[9edo]], but has the ~~[[6/1]]~~ tuned just instead of 2/1~~. The~~ octave ~~is stretched significantly (~~by 13.~~8¢) and the step size is 134.868~~{{c}}. It ~~can be used as a tuning for~~ [[Pelog]] ~~scales~~ in Indonesian gamelan music, since Pelog is well approximated by 9edo ~~with stretched octaves~~.

== Theory ==

23ed6 is similar to [[9edo]], but has the 6th harmonic tuned just instead of the [[2/1|octave]], which stretches the octave by about 13.8{{c}}. It also approximates [[Pelog]] tunings in Indonesian gamelan music very well, since Pelog is well-approximated by [[9edo]].

=== Harmonics ===

{{Harmonics in equal|23|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 23ed6 (continued)}}

=== Subsets and supersets ===

23ed6 is the 9th [[prime equal division|prime ed6]], following [[19ed6]] and before [[29ed6]], so it does not contain any nontrivial subset ed6's.

== Intervals ==

== Scales ==

* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]

== See also ==

* [[9edo]] – relative edo

* [[14edt]] – relative edt

* [[32ed12]] – relative ed12

[[Category:Pelog]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''23ED6''' is the [[ED6|equal division of the sixth harmonic]] into 23 equal parts. It is similar to [[9edo]], but has the [[6/1]] tuned just instead of 2/1. The octave is stretched significantly (by 13.8¢) and the step size is 134.868{{c}}. It can be used as a tuning for [[Pelog]] scales in Indonesian gamelan music, since Pelog is well approximated by 9edo with stretched octaves.
+{{ED intro}}
+== Theory ==
+ed6 is similar to [[9edo]], but has the 6th harmonic tuned just instead of the [[2/1|octave]], which stretches the octave by about 13.8{{c}}. It also approximates [[Pelog]] tunings in Indonesian gamelan music very well, since Pelog is well-approximated by [[9edo]].
+=== Harmonics ===
+{{Harmonics in equal|23|6|1|intervals=integer|columns=11}}
+{{Harmonics in equal|23|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 23ed6 (continued)}}
+=== Subsets and supersets ===
+ed6 is the 9th [[prime equal division|prime ed6]], following [[19ed6]] and before [[29ed6]], so it does not contain any nontrivial subset ed6's.
+== Intervals ==
+{{Interval table}}
+== Scales ==
+* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]
+== See also ==
+* [[9edo]] – relative edo
+* [[14edt]] – relative edt
+* [[32ed12]] – relative ed12
+{{Todo|expand}}
+[[Category:Pelog]]