36edo - Revision history

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 ====

Lucius Chiaraviglio: /* Music */ Fix wording

2026-04-12T20:54:46Z

Music: Fix wording

← Older revision		Revision as of 20:54, 12 April 2026
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	; [[Norokusi]]		; [[Norokusi]]
	* [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 ''~~Arrangement~~ for orchestra''] (2026)		** [https://www.youtube.com/watch?v=l5SQOI1kTHc ''Arranged for orchestra''] (2026)

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

Lucius Chiaraviglio: /* Music */ Add Norokusi's Symphony for String Orchestra (2024) and its arrangement for (full) orchestra (2026)

2026-04-12T20:51:42Z

Music: Add Norokusi's Symphony for String Orchestra (2024) and its arrangement for (full) orchestra (2026)

← Older revision		Revision as of 20:51, 12 April 2026
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	; [[Joseph Monzo]]		; [[Joseph Monzo]]
	* [https://m.youtube.com/watch?v=7t79lBI_4_s ''African Rhythms in 36-ET''] (2005)		* [https://m.youtube.com/watch?v=7t79lBI_4_s ''African Rhythms in 36-ET''] (2005)

			; [[Norokusi]]
			* [https://www.youtube.com/watch?v=JPpjYzddGSg&t=495s ''Symphony for String Orchestra''] (2024)
			** [https://www.youtube.com/watch?v=l5SQOI1kTHc ''Arrangement for orchestra''] (2026)

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

Overthink: /* Intervals */ add a few

2026-03-14T18:16:16Z

Intervals: add a few

← Older revision		Revision as of 18:16, 14 March 2026
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	\| 17		\| 17
	\| 566.7		\| 566.7
	\|		\| [[112/81]]
	\| [[18/13]]		\| [[18/13]]
	\| [[7/5]]		\| [[7/5]]
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	\| 18		\| 18
	\| 600.0		\| 600.0
	\|		\| [[729/512]], [[1024/729]]
	\| [[17/12]], [[24/17]]		\| [[17/12]], [[24/17]]
	\| [[45/32]], [[64/45]]		\| [[45/32]], [[64/45]]
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	\| 19		\| 19
	\| 633.3		\| 633.3
	\|		\| 81/56
	\| [[13/9]]		\| [[13/9]]
	\| [[10/7]]		\| [[10/7]]

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"

2026-03-13T13:32:55Z

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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	\|		\|
	\|}		\|}
	<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

	== Octave stretch or compression ==		== Octave stretch or compression ==

FloraC: Name for 4096/4095

2026-03-03T10:59:49Z

Name for 4096/4095

← Older revision		Revision as of 10:59, 3 March 2026
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	\| 0.42		\| 0.42
	\| Sathurugu		\| Sathurugu
	\| ~~Schismina~~		\| Minisma
	\|-		\|-
	\| 17		\| 17

Lucius Chiaraviglio: /* Music / Move Bryan Deister's ''18 tone unequal improv'' (2026) (from 18edo to here

2026-02-13T00:59:57Z

Music: * Move Bryan Deister's ''18 tone unequal improv'' (2026) (from 18edo to here

← Older revision		Revision as of 00:59, 13 February 2026
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	* [https://www.youtube.com/watch?v=psvrsa10-Wo ''36edo jam''] (2025)		* [https://www.youtube.com/watch?v=psvrsa10-Wo ''36edo jam''] (2025)
	* [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)

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

Hotcrystal0: adding a link

2026-01-14T14:40:35Z

adding a link

← Older revision		Revision as of 14:40, 14 January 2026
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	\| 20		\| 20
	\| 666.7		\| 666.7
	\| 72/49		\| [[72/49]]
	\|		\|
	\|		\|

Lucius Chiaraviglio: /* Mappings */ Add links

2026-01-04T12:18:34Z

Mappings: Add links

← Older revision		Revision as of 12:18, 4 January 2026
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	=== Mappings ===		=== Mappings ===
	36edo's patent val, like 12, tempers out 81/80, 128/125, and 648/625 in the 5-limit. It departs from 12 in the 7-limit, tempering out 686/675 and 1029/1000, and as a no-fives temperament, 1029/1024 and 118098/117649. The no-fives temperament tempering out 1029/1024, [[slendric]], is well supported by 36edo, its generator of ~8/7 represented by 7 steps of 36edo. In the 11-limit, the patent val tempers out 56/55, 245/242, and 540/539, and is the [[optimal patent val]] for the rank four temperament tempering out 56/55, as well as the rank-3 temperament [[melpomene]] tempering out 81/80 and 56/55. In the 13-limit, it tempers out 78/77 and 91/90, in the 17-limit 51/50, and in the 19-limit 76/75 and 96/95.		36edo's patent val, like 12, tempers out [[81/80]], [[128/125]], and [[648/625]] in the 5-limit. It departs from 12 in the 7-limit, tempering out [[686/675]] and [[1029/1000]], and as a no-fives temperament, [[1029/1024]] and [[118098/117649]]. The no-fives temperament tempering out 1029/1024, [[slendric]], is well supported by 36edo, its generator of ~8/7 represented by 7 steps of 36edo. In the 11-limit, the patent val tempers out [[56/55]], [[245/242]], and [[540/539]], and is the [[optimal patent val]] for the rank four temperament tempering out [[56/55]], as well as the rank-3 temperament [[melpomene]] tempering out 81/80 and 56/55. In the 13-limit, it tempers out [[78/77]] and [[91/90]], in the 17-limit [[51/50]], and in the 19-limit [[76/75]] and [[96/95]].

	As a 5-limit temperament, the patent val for 36edo is [[contorted]], meaning there are notes of it which cannot be reached from the unison using only 5-limit intervals.		As a 5-limit temperament, the patent val for 36edo is [[contorted]], meaning there are notes of it which cannot be reached from the unison using only 5-limit intervals.