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| {{Infobox ET|1ed17069/16238}}
| | #REDIRECT [[125edo#Subsets and supersets]] |
| {{delete|should be merged with 22edt or 42zpi}}
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| '''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]].
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| 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]]”.
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| 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]].
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| 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¢.
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| ==Harmonics==
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| {{harmonics in cet|86.4|prec=1}}
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| {{harmonics in cet|86.4|prec=1|start=11}}
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| [[14edo]], [[22edt]], [[32ed5]], [[39ed7]] for comparison:
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| {{Harmonics in equal|14|intervals=integer|prec=1|collapsed=1}}
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| {{Harmonics in equal|22|3|1|intervals=integer|prec=1|collapsed=1}}
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| {{Harmonics in equal|32|5|1|intervals=integer|prec=1|collapsed=1}}
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| {{Harmonics in equal|39|7|1|intervals=integer|prec=1|collapsed=1}}
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| ==Scala file==
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| Tuning file for anything that supports [[Scala]]. Made with [[Scale Workshop]].
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| <pre>
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| ! 13pt888edo.scl
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| !
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| 13.888 equal divisions of the octave
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| 14
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| !
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| 86.406
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| 172.812
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| 259.218
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| 345.624
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| 432.03
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| 518.436
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| 604.842
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| 691.248
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| 777.654
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| 864.06
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| 950.466
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| 1036.872
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| 1123.278
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| 1209.684
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| </pre>
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| == Music ==
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| * ''[https://soundcloud.com/morphosyntax-1/the-butterflys-dream The Butterfly’s Dream]'' - [[Herman Miller]] (2022)
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| == See also ==
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| * [[Equal-step tuning]]
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| [[Category:14-tone scales]]
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| [[Category:Tempered scales]]
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| [[Category:Pages with mostly numerical content]]
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| [[Category:Edonoi]] | | [[Category:Edonoi]] |
| [[Category:Pages with Scala files]]
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