32edo: Difference between revisions
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document scales found by generating 50 random scales within certain parameters, then keeping only the 10 or 15 that actually sounded good when tested in scale workshop |
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 32 factors | Since 32 is a power of two and factors as 2<sup>5</sup>, 32edo contains subset edos {{EDOs| 2, 4, 8, and 16 }}. | ||
See also [[32nd-octave temperaments]]. | |||
== Intervals == | == Intervals == | ||
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== Notation == | == Notation == | ||
=== | === Stein–Zimmermann–Gould notation === | ||
[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows: | |||
{{ | {{Sharpness-sharp5-szg}} | ||
If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using triple arrows. | |||
{{ | === Kite's ups and downs notation === | ||
32edo 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). | |||
{{Ups and downs sharpness}} | |||
=== Sagittal notation === | === Sagittal notation === | ||
This notation uses the same sagittal sequence as [[25edo#Sagittal notation| | This notation uses the same sagittal sequence as [[25edo #Sagittal notation|25edo]], and is a subset of the notation for [[64edo #Second-best fifth notation|64b-edo]]. | ||
==== Evo flavor ==== | ==== Evo flavor ==== | ||
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| [[Sedecic]] (32) | | [[Sedecic]] (32) | ||
|} | |} | ||
<nowiki/>* [[Normal | <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 | ||
== Delta-rational harmony == | == Delta-rational harmony == | ||
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[[File:plot32.png|alt=plot32.png|plot32.png]] | [[File:plot32.png|alt=plot32.png|plot32.png]] | ||
== Scales == | |||
A list of useful scales known so far in 32edo. | |||
'''Named''' | |||
* [[Antipental blues]]: 9 5 1 4 9 4 | |||
'''Unnamed''' | |||
* Bluesy spy music-type scale no. 1: 7 3 9 9 4 | |||
* Bluesy spy music-type scale no. 2: 9 6 1 3 13 | |||
* Nocturnal fay-type scale: 5 14 3 3 7 | |||
* Pseudo-kokinjoshi no. 1: 6 2 11 6 7 | |||
* Pseudo-kokinjoshi no. 2: 3 10 5 9 5 | |||
* Pseudo-kokinjoshi no. 3: 5 9 5 3 10 | |||
* Pseudo-pelog #m3 #m6: 3 5 10 4 10 | |||
* Pseudo-pelog ##m3 #P5 #m6: 3 6 10 3 10 | |||
* Robotic-type scale, good for contemporary classical: 16 3 4 3 6 | |||
* Sunny crystalline-type scale no. 1: 4 4 6 5 8 5 | |||
* Sunny crystalline-type scale no. 2: 9 6 4 4 4 5 | |||
== Instruments == | == Instruments == | ||
[[Lumatone mapping for 32edo]] | * [[Lumatone mapping for 32edo]] | ||
== Music == | == Music == | ||
; | === Modern renderings === | ||
* [https://www.youtube.com/ | ; {{W|Koji Kondo}} | ||
* [https://www.youtube.com/shorts/OUlNwN-bAsc "Lost Woods" from ''The Legend of Zelda: Ocarina of Time OST''] (1998) – covered by [[Bryan Deister]] (2025) | |||
=== 21st century === | |||
; [[Bryan Deister]] | ; [[Bryan Deister]] | ||
* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025) | * [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025) | ||
* ''Licorice Hearted'' (2026) | |||
** [https://www.youtube.com/shorts/zFgw-AfGEcQ short 1] · [https://www.youtube.com/shorts/ocgMIf4xopo short 2] | |||
; [[groundfault]] | |||
* "Winter's Mortal Hope", from ''A New Dusk'' (2024) – [https://groundfco.bandcamp.com/track/winters-mortal-hope-32edo Bandcamp] | [https://www.youtube.com/watch?v=1bnEO8vGvbo&t=1357 YouTube (22:37–26:00)] | |||
; [[Claudi Meneghin]] | ; [[Claudi Meneghin]] | ||
* [https://www.youtube.com/watch?v=y2G6Fs2HMUs | * ''Canon on Twinkle Twinkle Little Star'' | ||
** [https://www.youtube.com/watch?v=y2G6Fs2HMUs for organ] (2023) · [https://www.youtube.com/watch?v=JWRGLa59ZwY for baroque oboe & viola] (2024) | |||
; [[Petr Pařízek]] | ; [[Petr Pařízek]] | ||
* [http://micro.soonlabel.com/petr_parizek/3125_2916_temp_q32.ogg ''Sixix''] | * [https://web.archive.org/web/20201127014118/http://micro.soonlabel.com/petr_parizek/3125_2916_temp_q32.ogg ''Sixix''] | ||
; [[Billy Stiltner]] | ; [[Billy Stiltner]] | ||
* [https://billystiltner.bandcamp.com/album/1332 ''1332''] | * [https://billystiltner.bandcamp.com/album/1332 ''1332''] (2019) | ||
; [[Chris Vaisvil]] | ; [[Chris Vaisvil]] | ||
* [http://micro.soonlabel.com/32edo/32-32-32-nothing-less-will-do.mp3 ''32 32 32 Nothing Less Will Do''] | * [https://web.archive.org/web/20201127013223/http://micro.soonlabel.com/32edo/32-32-32-nothing-less-will-do.mp3 ''32 32 32 Nothing Less Will Do''] | ||
; [[Stephen Weigel]] | ; [[Stephen Weigel]] | ||
* [https://www.youtube.com/watch?v=00kH3CqSgMY "Zinnia Riplet" | * [https://www.youtube.com/watch?v=00kH3CqSgMY "Zinnia Riplet"], featured in [https://spectropolrecords.bandcamp.com/album/possible-worlds-vol-4 ''Possible Worlds Vol. 4''] (2019) of Spectropol Records | ||
* [https://soundcloud.com/overtoneshock/admins-hot-tub-32-edo ''Admin's Hot Tub''] | * [https://soundcloud.com/overtoneshock/admins-hot-tub-32-edo ''Admin's Hot Tub''] (2019) | ||
; [[x2st]] | |||
* [https://www.youtube.com/watch?v=yMokW3-0vIs ''Beyond the Grid''] (2024) | |||
* [https://www.youtube.com/watch?v=SIvKCy4kLNE ''Slither''] (2025) | |||
* [https://www.youtube.com/watch?v=BzJlIV8pcKg ''Cipher''] (2025) | |||
* [https://www.youtube.com/watch?v=LI-lMuAYws8 ''Revelation''] (2026) | |||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Sixix]] | [[Category:Sixix]] | ||
{{Todo|add scales list}} | |||