23edf: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
'''23EDF''' is the [[EDF|equal division of the just perfect fifth]] into 23 parts of 30.5198 [[ | '''23EDF''' is the [[EDF|equal division of the just perfect fifth]] into 23 parts of 30.5198 [[cents]] each, corresponding to 39.3188 [[edo]] (similar to every third step of [[118edo]]). | ||
== | ==History== | ||
A proponent of 23edf is [[Petr Pařízek]]. The first to write about 23edf on this wiki was [[Todd Harrop]] in 2015. | |||
==Theory== | |||
23edf is close to [[39edo]] and/or [[62edt]], however, the respective [[octave]] and [[tritave|twelfth]] would need to be nearly 10 cents flat. | |||
Some intervals in table below, selected on the basis of single-use of | Some intervals in table below, selected on the basis of single-use of [[prime]]s (for most cases): | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 82: | Line 83: | ||
| style="text-align:center;" | –1.9¢ | | style="text-align:center;" | –1.9¢ | ||
|} | |} | ||
{| class="wikitable" | |||
=== Harmonics === | |||
{{Harmonics in equal|23|3|2}} | |||
{{Harmonics in equal|23|3|2|start=12|collapsed=1}} | |||
== Intervals == | |||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 23edf | |||
|- | |||
!Step number | |||
!Size (cents) | |||
|- | |||
|1 | |1 | ||
|30.5198 | |30.5198 | ||
| Line 221: | Line 233: | ||
|1403.91 | |1403.91 | ||
|} | |} | ||
{{todo|inline=1|complete table|text=Add at least one more column, showing what the notes are named, what JI they approximate, or anything else interesting about them individually.}} | |||
{{todo|expand}} | |||
[[Category:Edf]] | [[Category:Edf]] | ||
[[Category:nonoctave]] | [[Category:nonoctave]] | ||