32edo - Revision history

Eliora: /* Subsets and supersets */ quick link

2026-06-08T22:09:54Z

Subsets and supersets: quick link

← Older revision		Revision as of 22:09, 8 June 2026
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 32 factors ~~into primes~~ as 2<sup>5</sup>, 32edo contains subset edos {{EDOs\| 2, 4, 8, and 16 }}.		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 ==

FloraC: /* Notation */ SZG notation

2026-05-12T12:48:58Z

Notation: SZG notation

← Older revision		Revision as of 12:48, 12 May 2026
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	== Notation ==		== Notation ==
	=== ~~Ups and downs~~ notation ===		=== Stein–Zimmermann–Gould notation ===
	~~32edo 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).~~		[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
	{{~~Ups and downs sharpness~~}}		{{Sharpness-sharp5-szg}}

	~~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]]:~~		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.

	{{~~Sharpness-sharp5~~}}		=== 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).
	~~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.~~		{{Ups and downs sharpness}}

	=== Sagittal notation ===		=== Sagittal notation ===
	This notation uses the same sagittal sequence as [[25edo#Sagittal notation\|~~25-EDO~~]], and is a subset of the notation for [[64edo#Second-best fifth notation\|64b]].		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 ====

FloraC: /* Music */ +1

2026-05-07T11:50:46Z

Music: +1

← Older revision		Revision as of 11:50, 7 May 2026
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	* ''Licorice Hearted'' (2026)		* ''Licorice Hearted'' (2026)
	** [https://www.youtube.com/shorts/zFgw-AfGEcQ short 1] · [https://www.youtube.com/shorts/ocgMIf4xopo short 2]		** [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]]

FloraC: /* Music */ cleanup & fix dead links

2026-05-07T11:48:25Z

Music: cleanup & fix dead links

← Older revision		Revision as of 11:48, 7 May 2026
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	== Music ==		== Music ==
			=== Modern renderings ===
			; {{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 ===
	; [[Brody Bigwood]]		; [[Brody Bigwood]]
	* [https://www.youtube.com/watch?v=yMokW3-0vIs ''Beyond the Grid''] (2024)		* [https://www.youtube.com/watch?v=yMokW3-0vIs ''Beyond the Grid''] (2024)

	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025)
	* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)		* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)
	* ''Licorice Hearted ~~- 32edo~~'' (2026) [https://www.youtube.com/shorts/zFgw-AfGEcQ ~~<nowiki>[~~short 1]~~</nowiki>];~~ [https://www.youtube.com/shorts/ocgMIf4xopo ~~<nowiki>[~~short 2~~]</nowiki>~~]		* ''Licorice Hearted'' (2026)
			** [https://www.youtube.com/shorts/zFgw-AfGEcQ short 1] · [https://www.youtube.com/shorts/ocgMIf4xopo short 2]

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]
	* [https://www.youtube.com/watch?v=y2G6Fs2HMUs ~~''Canon on Twinkle Twinkle Little Star'',~~ for organ] (2023) ~~– (~~[https://www.youtube.com/watch?v=JWRGLa59ZwY for ~~Baroque Oboe~~ & ~~Viola~~])		* ''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" ~~(32-EDO)~~] (featured in [https://spectropolrecords.bandcamp.com/album/possible-worlds-vol-4 ''Possible Worlds Vol. 4''] of Spectropol Records)		* [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)

	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Sixix]]		[[Category:Sixix]]
	{{Todo\|add scales list}}		{{Todo\|add scales list}}

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:32:02Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:32, 13 March 2026
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	\| [[Sedecic]] (32)		\| [[Sedecic]] (32)
	\|}		\|}
	<nowiki/>* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|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

	== Delta-rational harmony ==		== Delta-rational harmony ==

Lucius Chiaraviglio: /* Music */ Bryan Deister's ''Licorice Hearted - 32edo'' (2026): add [short 2]

2026-01-18T08:42:21Z

Music: Bryan Deister's ''Licorice Hearted - 32edo'' (2026): add [short 2]

← Older revision		Revision as of 08:42, 18 January 2026
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	* [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025)		* [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025)
	* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)		* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)
	* [https://www.youtube.com/shorts/zFgw-AfGEcQ ''<nowiki>~~Licorice Hearted - 32edo~~ [short 1]</nowiki>]~~'' (2026)~~		* ''Licorice Hearted - 32edo'' (2026) [https://www.youtube.com/shorts/zFgw-AfGEcQ <nowiki>[short 1]</nowiki>]; [https://www.youtube.com/shorts/ocgMIf4xopo <nowiki>[short 2]</nowiki>]

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)'' (2025)

2026-01-16T07:34:51Z

Music: Add Bryan Deister's ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)'' (2025)

← Older revision		Revision as of 07:34, 16 January 2026
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	; [[Bryan Deister]]		; [[Bryan Deister]]
			* [https://www.youtube.com/shorts/OUlNwN-bAsc ''Lost Woods - Legend of Zelda (microtonal cover in 32edo)''] (2025)
	* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)		* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)
	* [https://www.youtube.com/shorts/zFgw-AfGEcQ ''<nowiki>Licorice Hearted - 32edo [short 1]</nowiki>]'' (2026)		* [https://www.youtube.com/shorts/zFgw-AfGEcQ ''<nowiki>Licorice Hearted - 32edo [short 1]</nowiki>]'' (2026)

Lucius Chiaraviglio: /* Music */ Fix typo

2026-01-15T00:07:42Z

Music: Fix typo

← Older revision		Revision as of 00:07, 15 January 2026
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)		* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)
	* [https://www.youtube.com/shorts/zFgw-AfGEcQ ''<nowiki>Licorice Hearted - 32edo [short 1]</nowiki>] (2026)		* [https://www.youtube.com/shorts/zFgw-AfGEcQ ''<nowiki>Licorice Hearted - 32edo [short 1]</nowiki>]'' (2026)

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''Licorice Hearted - 32edo [short 1]'' (2026)

2026-01-14T23:41:22Z

Music: Add Bryan Deister's ''Licorice Hearted - 32edo [short 1]'' (2026)

← Older revision		Revision as of 23:41, 14 January 2026
Line 1,280:		Line 1,280:
	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)		* [https://www.youtube.com/shorts/nTQfjPjeee8 ''32edo improv''] (2025)
			* [https://www.youtube.com/shorts/zFgw-AfGEcQ ''<nowiki>Licorice Hearted - 32edo [short 1]</nowiki>] (2026)

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]

BudjarnLambeth at 01:23, 28 December 2025

2025-12-28T01:23:02Z

← Older revision		Revision as of 01:23, 28 December 2025
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	[[Category:Listen]]		[[Category:Listen]]
	[[Category:Sixix]]		[[Category:Sixix]]
			{{Todo\|add scales list}}