|
|
| (2 intermediate revisions by 2 users not shown) |
| Line 1: |
Line 1: |
| {{Infobox ET|1ed17069/16238}}
| | #REDIRECT [[125edo#Subsets and supersets]] |
| {{delete|should be merged with 22edt or 42zpi}}
| |
| '''13.888edo''', also known as '''1 equal division of 86.4¢''' ('''1ed86.4c''') or '''arithmetic pitch sequence of 86.4¢''' ('''APS86.4¢'''), is an [[Equal-step tuning|equal-step]] scale generated by dividing [[2/1]] into 13.888 equal parts of about 86.4 [[cents]] each, or every 9th step of [[125edo]].
| |
| | |
| Because 13.888 is not actually an integer, the scale that results does not actually include [[2/1]], so it is not a ''true'' [[edo]]. Instead it has a [[pseudo-octave]] almost 10 cents sharp, making it a “[[EDO#Non-integer EDO|non-integer edo]]”.
| |
| | |
| 13.888edo has been voted "monthly tuning" multiple times on the [[Monthly Tunings]] Facebook group, owing to its close approximations of many harmonics [[3/1]], [[7/1]], [[9/1]] and [[11/1]].
| |
| | |
| It is very close to [[Table of zeta-stretched edos|zeta-stretched 14edo]], a.k.a. [[42zpi]], which has a step size of 86.3¢.
| |
| | |
| ==Harmonics==
| |
| {{harmonics in cet|86.4|prec=1}}
| |
| {{harmonics in cet|86.4|prec=1|start=11}}
| |
| | |
| [[14edo]], [[22edt]], [[32ed5]], [[39ed7]] for comparison:
| |
| {{Harmonics in equal|14|intervals=integer|prec=1|collapsed=1}}
| |
| {{Harmonics in equal|22|3|1|intervals=integer|prec=1|collapsed=1}}
| |
| {{Harmonics in equal|32|5|1|intervals=integer|prec=1|collapsed=1}}
| |
| {{Harmonics in equal|39|7|1|intervals=integer|prec=1|collapsed=1}}
| |
| | |
| ==Scala file==
| |
| Tuning file for anything that supports [[Scala]]. Made with [[Scale Workshop]].
| |
| <pre>
| |
| ! 13pt888edo.scl
| |
| !
| |
| 13.888 equal divisions of the octave
| |
| 14
| |
| !
| |
| 86.406
| |
| 172.812
| |
| 259.218
| |
| 345.624
| |
| 432.03
| |
| 518.436
| |
| 604.842
| |
| 691.248
| |
| 777.654
| |
| 864.06
| |
| 950.466
| |
| 1036.872
| |
| 1123.278
| |
| 1209.684
| |
| </pre>
| |
| | |
| == Music ==
| |
| * ''[https://soundcloud.com/morphosyntax-1/the-butterflys-dream The Butterfly’s Dream]'' - [[Herman Miller]] (2022)
| |
| | |
| == See also ==
| |
| * [[Equal-step tuning]]
| |
| | |
| [[Category:14-tone scales]]
| |
| [[Category:Tempered_scales]]
| |
| [[Category:Pages with mostly numerical content]]
| |
| [[Category:Edonoi]]
| |
| [[Category:Pages with Scala files]]
| |