23ed6: Difference between revisions

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{{Infobox ET}}
{{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 the octave. Octaves are stretched by 13.8{{c}} and the step size is 134.868{{c}}. It also approximates [[Pelog]] tunings in Indonesian gamelan music very well, since Pelog is well-approximated by [[9edo]] with stretched octaves.
{{ED intro}}
 
== 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=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 ===
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 ==
== Intervals ==
{{Interval table}}
{{Interval table}}


== Harmonics ==
== Scales ==
{{Harmonics in equal
* [[Maeve Gutierrez#Gutierrez-Lambeth quasi-subharmonic pentatonic|Gutierrez-Lambeth quasi-subharmonic pentatonic]]
| steps = 23
 
| num = 6
== See also ==
| denom = 1
* [[9edo]] – relative edo
}}
* [[14edt]] – relative edt
{{Harmonics in equal
* [[32ed12]] – relative ed12
| steps = 23
| num = 6
| denom = 1
| start = 12
| collapsed = 1
}}


{{todo|expand}}
{{Todo|expand}}
[[Category:Pelog]]
[[Category:Pelog]]