81edo: Difference between revisions
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== Theory == | == Theory == | ||
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== Notation == | == Notation == | ||
=== Stein–Zimmermann–Gould notation === | |||
[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows: | |||
{{Sharpness-sharp5-szg}} | |||
=== Kite's ups and downs notation === | |||
81edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, dupflat etc. Note that dudsharp is equivalent to trup (triple-up) and dupflat is equivalent to trud (triple-down). | |||
{{Sharpness-sharp5a}} | |||
=== Tom Winspear's notation === | === Tom Winspear's notation === | ||
[[File:81 EDO Accidentals.png|alt=|959x959px]] | [[File:81 EDO Accidentals.png|alt=|959x959px]] | ||
81edo accidentals created and used by [[Tom Winspear]], based on those provided in [[Scala]] though with a logic correction. The innermost accidentals represent one edostep, followed by two, then the bracket representing three. Conventional sharp/doublesharp/flat/doubleflat accidentals are reached in steps of five and the pattern repeats itself on them. The chromatic scale can be notated utilizing only six accidentals in either | 81edo accidentals created and used by [[Tom Winspear]], based on those provided in [[Scala]] though with a logic correction. The innermost accidentals represent one edostep, followed by two, then the bracket representing three. What appears to be a half-sharp is actually a fifth-sharp. Conventional sharp/doublesharp/flat/doubleflat accidentals are reached in steps of five and the pattern repeats itself on them. The chromatic scale can be notated utilizing only six accidentals in either direction—the rest are for enharmonics. | ||
== Approximation to JI == | |||
=== 15-odd-limit interval mappings === | |||
{{Q-odd-limit intervals|81|15}} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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* [[Leantone7]] | * [[Leantone7]] | ||
* [[Leantone13]] | * [[Leantone13]] | ||
* [[User:BudjarnLambeth/Antechinus|Antechinus]] | |||
== Instruments == | |||
=== Skip fretting === | |||
'''Skip fretting system 81 7 20''' is a [[skip fretting]] system for [[81edo]]. All examples on this page are for 7-string [[guitar]]. | |||
; Prime harmonics | |||
1/1: string 2 open | |||
2/1: string 5 fret 3 | |||
3/2: string 4 fret 1 and string 7 fret 4 | |||
5/4: string 7 fret 1 | |||
7/4: string 3 fret 18 | |||
11/8: string 3 fret 14 | |||
13/8: string 1 fret 11 and string 4 fret 14 | |||
17/16: string 2 fret 1 and string 5 fret 4 | |||
19/16: string 3 open | |||
23/16: string 2 fret 6 and string 5 fret 9 | |||
29/16: string 3 fret 7 and string 6 fret 10 | |||
31/16: string 2 fret 11 and string 5 fret 14 | |||
; Chords | |||
Minor 7th: 100133x | |||
Dominant 7th: 10113xx | |||
=== Keyboards === | |||
A [[Lumatone mapping for 81edo]] is available. | |||
== Music == | |||
; [[Bryan Deister]] | |||
* [https://www.youtube.com/shorts/5O6Cyawjkd8 ''''microtonal improvisation in 81edo''] (2025) | |||
* [https://www.youtube.com/shorts/yY0TzTiNeB8 ''81edo improv''] (2025) | |||
== Notes == | == Notes == | ||
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[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Meanpop]] | [[Category:Meanpop]] | ||
<references /> | |||