58edo: Difference between revisions
→Intervals: I don't think 58hi section is worth adding; the accuracy is questionable and only accepted by a few people like FloraC |
→Regular temperament properties: + gravity & extensions |
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== Notation == | == Notation == | ||
=== | === Stein–Zimmermann–Gould notation === | ||
58edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc. | [[Stein–Zimmermann–Gould notation]] for 58edo uses sharps and flats combined with quartertone accidentals and arrows: | ||
{{Sharpness-sharp6-szg}} | |||
If double arrows are not desirable, then arrows can be attached to quartertone accidentals: | |||
{{Sharpness-sharp6-qt-szg}} | |||
=== Kite's ups and downs notation === | |||
58edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc. | |||
{{Ups and downs sharpness}} | {{Ups and downs sharpness}} | ||
Half-sharps and half-flats can be used to avoid triple arrows: | Half-sharps and half-flats can be used to avoid triple arrows: | ||
{{Ups and downs sharpness|58|true}} | {{Ups and downs sharpness|58|true}} | ||
=== Ivan Wyschnegradsky's notation === | === Ivan Wyschnegradsky's notation === | ||
Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used: | Since a sharp raises by six steps, Wyschnegradsky accidentals borrowed from [[72edo]] can also be used: | ||
{{Sharpness-sharp6-iw}} | {{Sharpness-sharp6-iw}} | ||
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|+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style) | |+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style) | ||
|- | |- | ||
! | ! # | ||
! Cents | ! Cents | ||
! Note names<br | ! Note names<br>on D | ||
|- | |- | ||
| 0 | | 0 | ||
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| 21/16 | | 21/16 | ||
| [[Buzzard]] / [[subfourth]] | | [[Buzzard]] / [[subfourth]] | ||
|- | |||
| 1 | |||
| 25\58 | |||
| 517.2 | |||
| 27/20 | |||
| [[Gravity]] / [[abergravity]] / [[gravid]] | |||
|- | |- | ||
| 1 | | 1 | ||
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| [[Mystery]] | | [[Mystery]] | ||
|} | |} | ||
<nowiki/>* [[Normal forms|Octave-reduced form]], reduced to the first half-octave, and [[normal forms|minimal form]] in parentheses if distinct | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||
58et can also be detempered to [[semihemi]] ({{nowrap| 58 & 140 }}), [[supers]] ({{nowrap| 58 & 152 }}), [[condor]] ({{nowrap| 58 & 159 }}), and [[eagle]] ({{nowrap| 58 & 212 }}). | 58et can also be detempered to [[semihemi]] ({{nowrap| 58 & 140 }}), [[supers]] ({{nowrap| 58 & 152 }}), [[condor]] ({{nowrap| 58 & 159 }}), and [[eagle]] ({{nowrap| 58 & 212 }}). | ||
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; [[Cam Taylor]] | ; [[Cam Taylor]] | ||
* [https://www.youtube.com/watch?v=Keclakcqie8 ''58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone''] (2021) | * [https://www.youtube.com/watch?v=Keclakcqie8 ''58EDO, Mystery temperament and 2 rings of Pythagorean on the Lumatone''] (2021) | ||
; [[Xotla]] | |||
* [https://www.youtube.com/watch?v=yTkPhjTEQMw "Wormhole Shmurmhole"], from [https://www.youtube.com/playlist?list=PL4HmfPDldHXueRjmTV-iJN3fsLn_O9jvT ''Just Another Microtonal Music Album''] (2025–2026) – in part, the rest being in 31edo | |||
[[Category:Buzzard]] | [[Category:Buzzard]] | ||