36edo - Revision history

Lucius Chiaraviglio: /* 21st century */ Add Norokusi's ''Hiroki Naito - Symphony: Moratorium for Large Orchestra in a 36EDO Subset'' (2025 - 2026)

2026-09-21T07:06:36Z

21st century: Add Norokusi's ''Hiroki Naito - Symphony: Moratorium for Large Orchestra in a 36EDO Subset'' (2025 - 2026)

← Older revision		Revision as of 07:06, 21 September 2026
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	* [https://www.youtube.com/watch?v=JPpjYzddGSg&t=495s ''Symphony for String Orchestra''] (2024)		* [https://www.youtube.com/watch?v=JPpjYzddGSg&t=495s ''Symphony for String Orchestra''] (2024)
	** [https://www.youtube.com/watch?v=l5SQOI1kTHc ''Arranged for orchestra''] (2026)		** [https://www.youtube.com/watch?v=l5SQOI1kTHc ''Arranged for orchestra''] (2026)
			* [https://www.youtube.com/watch?v=_DQKj0afWwE ''Hiroki Naito - Symphony: Moratorium for Large Orchestra in a 36EDO Subset''] (2025 - 2026) (also has a [[24edo]] vibraphone part)

	; [[NullPointerException Music]]		; [[NullPointerException Music]]

Yourmusic Productions: /* Music */ This one also belongs in the 20th century section.

2026-09-20T14:26:05Z

Music: This one also belongs in the 20th century section.

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	** [https://www.youtube.com/watch?v=UJwLdLMvdu8 String quartet version] — performed by Stamitz Quartet (unknown recording date) (currently the video title erroneously says this is for sixteenth-tone harmonium)		** [https://www.youtube.com/watch?v=UJwLdLMvdu8 String quartet version] — performed by Stamitz Quartet (unknown recording date) (currently the video title erroneously says this is for sixteenth-tone harmonium)
	** [https://www.youtube.com/watch?v=-Ktbo7EfhEA Sixth-tone harmonium version] — performed by Miroslav Beinhauer ([https://miroslavbeinhauer.com/?page_id=139&lang=en site]) (2019, with much of the video showing keyboard views of the sixth-tone harmonium being played)		** [https://www.youtube.com/watch?v=-Ktbo7EfhEA Sixth-tone harmonium version] — performed by Miroslav Beinhauer ([https://miroslavbeinhauer.com/?page_id=139&lang=en site]) (2019, with much of the video showing keyboard views of the sixth-tone harmonium being played)

			; {{W\|Henri Pousseur}}
			* [https://www.youtube.com/watch?v=tiWbbbU6ZPw ''Prospection''] (1952-1953) – for three pianos detuned by a sixth-tone from each other

	=== 21st century ===		=== 21st century ===
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	; [[Chris Orphal]]		; [[Chris Orphal]]
	* [https://www.youtube.com/watch?v=qbOOzC4360M ''Vademecum - Vadetecum (36-EDO) - Perf. New Music New Mexico''] (2023) (Saxophone: Edwin Anthony; Horn: Samuel Lutz; Trumpet: Doug Falk; Guitar: Carlos Arellano; Guitar tuned -31¢: Chris Orphal; Piano: Axel Retif)		* [https://www.youtube.com/watch?v=qbOOzC4360M ''Vademecum - Vadetecum (36-EDO) - Perf. New Music New Mexico''] (2023) (Saxophone: Edwin Anthony; Horn: Samuel Lutz; Trumpet: Doug Falk; Guitar: Carlos Arellano; Guitar tuned -31¢: Chris Orphal; Piano: Axel Retif)

	~~; {{W\|Henri Pousseur}}~~
	* [https://www.youtube.com/watch?v=tiWbbbU6ZPw ''Prospection''] (1952-1953) – for three pianos detuned by a sixth-tone from each other

	; [[Chris Vaisvil]]		; [[Chris Vaisvil]]

Lucius Chiaraviglio: /* Instruments */ Fix missing parenthesis

2026-09-20T09:04:08Z

Instruments: Fix missing parenthesis

← Older revision		Revision as of 09:04, 20 September 2026
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	36edo can also be played using three instruments tuned to 12edo with different root notes (that is, a sixth-tone apart).		36edo can also be played using three instruments tuned to 12edo with different root notes (that is, a sixth-tone apart).

	At least one 36edo harmonium has been built (the "sixth-tone harmonium" used by 20th century Czech microtonal composer {{W\|Alois Habá}}), having effectively two quasi-Halberstadt keyboards (but with the bottom one duplicated at the top, each having 18 notes per octave organized in 6 groups of 2 natural-position notes and 1 flat/sharp-position note — see the Music section below for a video demonstration.		At least one 36edo harmonium has been built (the "sixth-tone harmonium" used by 20th century Czech microtonal composer {{W\|Alois Habá}}), having effectively two quasi-Halberstadt keyboards (but with the bottom one duplicated at the top), each having 18 notes per octave organized in 6 groups of 2 natural-position notes and 1 flat/sharp-position note — see the Music section below for a video demonstration.

	== Music ==		== Music ==

Lucius Chiaraviglio: /* 20th century */ Fix wording

2026-09-20T08:59:57Z

20th century: Fix wording

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	* ''Six compositions for sixth-tone harmonium, op. 37'' (1928)		* ''Six compositions for sixth-tone harmonium, op. 37'' (1928)
	** [https://www.youtube.com/watch?v=UJwLdLMvdu8 String quartet version] — performed by Stamitz Quartet (unknown recording date) (currently the video title erroneously says this is for sixteenth-tone harmonium)		** [https://www.youtube.com/watch?v=UJwLdLMvdu8 String quartet version] — performed by Stamitz Quartet (unknown recording date) (currently the video title erroneously says this is for sixteenth-tone harmonium)
	** [https://www.youtube.com/watch?v=-Ktbo7EfhEA Sixth-tone harmonium version] — performed by Miroslav Beinhauer ([https://miroslavbeinhauer.com/?page_id=139&lang=en site]) (2019, with much of the video showing keyboard ~~view~~ of sixth-tone harmonium being played)		** [https://www.youtube.com/watch?v=-Ktbo7EfhEA Sixth-tone harmonium version] — performed by Miroslav Beinhauer ([https://miroslavbeinhauer.com/?page_id=139&lang=en site]) (2019, with much of the video showing keyboard views of the sixth-tone harmonium being played)

	=== 21st century ===		=== 21st century ===

Lucius Chiaraviglio: /* Instruments */ Add 36edo harmonium has been built (the "sixth-tone harmonium" used by 20th century Czech microtonal composer Alois Habá)

2026-09-20T08:58:51Z

Instruments: Add 36edo harmonium has been built (the "sixth-tone harmonium" used by 20th century Czech microtonal composer Alois Habá)

← Older revision		Revision as of 08:58, 20 September 2026
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	36edo can also be played using three instruments tuned to 12edo with different root notes (that is, a sixth-tone apart).		36edo can also be played using three instruments tuned to 12edo with different root notes (that is, a sixth-tone apart).

			At least one 36edo harmonium has been built (the "sixth-tone harmonium" used by 20th century Czech microtonal composer {{W\|Alois Habá}}), having effectively two quasi-Halberstadt keyboards (but with the bottom one duplicated at the top, each having 18 notes per octave organized in 6 groups of 2 natural-position notes and 1 flat/sharp-position note — see the Music section below for a video demonstration.

	== Music ==		== Music ==

Lucius Chiaraviglio: /* Music */ Add 20th century sub-section, starting with Alois Hába's ''Six compositions for sixth-tone harmonium, op. 37'' (1928)

2026-09-20T08:51:53Z

Music: Add 20th century sub-section, starting with Alois Hába's ''Six compositions for sixth-tone harmonium, op. 37'' (1928)

← Older revision		Revision as of 08:51, 20 September 2026
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	== Music ==		== Music ==
			=== 20th century ===
			; [[Alois Hába]]
			* ''Six compositions for sixth-tone harmonium, op. 37'' (1928)
			** [https://www.youtube.com/watch?v=UJwLdLMvdu8 String quartet version] — performed by Stamitz Quartet (unknown recording date) (currently the video title erroneously says this is for sixteenth-tone harmonium)
			** [https://www.youtube.com/watch?v=-Ktbo7EfhEA Sixth-tone harmonium version] — performed by Miroslav Beinhauer ([https://miroslavbeinhauer.com/?page_id=139&lang=en site]) (2019, with much of the video showing keyboard view of sixth-tone harmonium being played)

			=== 21st century ===
	; [[Ambient Esoterica]]		; [[Ambient Esoterica]]
	* [https://www.youtube.com/watch?v=nadDPD1m-1Y ''A Trip to PRS with a Circle of Augmented 5ths''] (2024)		* [https://www.youtube.com/watch?v=nadDPD1m-1Y ''A Trip to PRS with a Circle of Augmented 5ths''] (2024)

BudjarnLambeth: /* Scales */ attribute idiosync terms

2026-09-09T07:56:44Z

Scales: attribute idiosync terms

← Older revision		Revision as of 07:56, 9 September 2026
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	== Scales ==		== Scales ==
	''See also: [[List of MOS scales in 36edo]]''		''See also: [[List of MOS scales in 36edo]]''
	{{Idiosyncratic terms}}		{{Idiosyncratic terms\|[[Budjarn Lambeth]] coined and is so far the only known user of the "N&M-tone scale"-type names, the names of the catnip subsets, and the name "baobab".}}

	; [[Polymicrotonal]] scales		; [[Polymicrotonal]] scales

BudjarnLambeth: /* Scales */

2026-09-09T06:04:42Z

Scales

← Older revision		Revision as of 06:04, 9 September 2026
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	* Niner[18] MOS: 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 (''9/18 keys have a 3/2, 0/18 keys have both a 4/3 and a 3/2'')		* Niner[18] MOS: 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 1 3 (''9/18 keys have a 3/2, 0/18 keys have both a 4/3 and a 3/2'')
	* Niner[18] [[modmos]]: 1 1 3 1 3 5 1 1 1 3 1 3 1 1 3 1 3 3 (''11/18 keys have a 3/2, 6/18 keys have both a 4/3 and a 3/2'')		* Niner[18] [[modmos]]: 1 1 3 1 3 5 1 1 1 3 1 3 1 1 3 1 3 3 (''11/18 keys have a 3/2, 6/18 keys have both a 4/3 and a 3/2'')
			* Baobab: 9 6 6 6 4 5 (''approximated from [[30afdo]]'')

	== Tuning by ear ==		== Tuning by ear ==

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''36edo improv'' (2026)

2026-05-17T04:42:58Z

Music: Add Bryan Deister's ''36edo improv'' (2026)

← Older revision		Revision as of 04:42, 17 May 2026
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	* [https://www.youtube.com/shorts/3la1W-_-ceA ''36edo cowbell''] (2025)		* [https://www.youtube.com/shorts/3la1W-_-ceA ''36edo cowbell''] (2025)
	* [https://www.youtube.com/shorts/MjUdMnUA-2k ''18 tone unequal improv''] (2026) (this is tuned as two rings of [[9edo]] offset by 35{{c}}, to make a good approximation of [[3/2]] available, for a tuning that is an 18 note subset of a well-tempered derivative of 36edo)		* [https://www.youtube.com/shorts/MjUdMnUA-2k ''18 tone unequal improv''] (2026) (this is tuned as two rings of [[9edo]] offset by 35{{c}}, to make a good approximation of [[3/2]] available, for a tuning that is an 18 note subset of a well-tempered derivative of 36edo)
			* [https://www.youtube.com/shorts/KCtEYSkEK8U ''36edo improv''] (2026)

	; [[E8 Heterotic]]		; [[E8 Heterotic]]

FloraC: /* Notation */ SZG notation

2026-05-12T14:39:50Z

Notation: SZG notation

← Older revision		Revision as of 14:39, 12 May 2026
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	== Notation ==		== Notation ==
	=== ~~Colored notes~~ ===		=== Stein–Zimmermann–Gould notation ===
	~~One way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, {{colored note\|blue\|A}} is 33{{frac\|3}}{{c}} below {{colored note\|A}}~~ and {{~~colored note\|red~~\|A}} ~~is 33{{frac\|3}} cents above {{colored note\|A}}. Or~~, ~~the colors could~~ be ~~written out (red A, blue C♯, etc.) or abbreviated as rA, bC♯, etc. This use of red and blue is consistent with [[Kite's_color_notation\|color notation]] (ru and zo)~~.		[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
			{{Sharpness-sharp3-szg\|36}}

			If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using double arrows.

	=== ~~Ups~~ and downs notation ===		=== Kite's ups and downs notation ===
	Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud.		Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud.
	{{Ups and downs sharpness}}		{{Ups and downs sharpness}}

	~~Alternatively~~, ~~one can~~ use ~~sharps~~ and ~~flats~~ with ~~arrows, borrowed from extended~~ [[~~Helmholtz–Ellis~~ notation]]:		=== Colored notes ===
	~~{{Sharpness-sharp3\|36}}~~		One way of notating 36edo (at least for people who are not colorblind) is to use colors. For example, {{colored note\|blue\|A}} is 33{{frac\|3}}{{c}} below {{colored note\|A}} and {{colored note\|red\|A}} is 33{{frac\|3}} cents above {{colored note\|A}}. Or, the colors could be written out (red A, blue C♯, etc.) or abbreviated as rA, bC♯, etc. This use of red and blue is consistent with [[Kite's_color_notation\|color notation]] (ru and zo).

	~~If the arrows are taken to have their own layer of enharmonic spellings, then in some cases notes may be best denoted using double arrows~~.

	=== Sagittal notation ===		=== Sagittal notation ===
	This notation uses the same sagittal sequence as [[43edo#Sagittal notation\|~~43-EDO~~]], is a subset of the notation for [[72edo#Sagittal notation\|~~72-EDO~~]], and is a superset of the notations for ~~EDOs~~ [[18edo#Sagittal notation\|18]], [[12edo#Sagittal notation\|12]], and [[6edo#Sagittal notation\|6]].		This notation uses the same sagittal sequence as [[43edo #Sagittal notation\|43edo]], is a subset of the notation for [[72edo #Sagittal notation\|72edo]], and is a superset of the notations for edos [[18edo #Sagittal notation\|18]], [[12edo #Sagittal notation\|12]], and [[6edo #Sagittal notation\|6]].

	==== Evo flavor ====		==== Evo flavor ====