81edo: Difference between revisions
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== Notation == | == Notation == | ||
===Ups and downs notation=== | |||
81edo can be notated with [[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}} | |||
Another notation uses [[Alternative symbols for ups and downs notation#Sharp-5|alternative ups and downs]]. Here, this can be done using sharps and flats with arrows, borrowed from extended [[Helmholtz–Ellis notation]]: | |||
{{Sharpness-sharp5}} | |||
=== 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 direction—the rest are for enharmonics | 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. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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* [[Leantone7]] | * [[Leantone7]] | ||
* [[Leantone13]] | * [[Leantone13]] | ||
== 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) | |||
== Notes == | == Notes == | ||
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[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category:Meanpop]] | [[Category:Meanpop]] | ||
<references /> | |||