27edo - Revision history

FloraC: /* Regular temperament properties */ not really "out of tune" for ennealimmal, just not precise enough

2026-05-19T10:02:47Z

Regular temperament properties: not really "out of tune" for ennealimmal, just not precise enough

← Older revision		Revision as of 10:02, 19 May 2026
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	\| 3		\| 3
	\| 2\27		\| 2\27
	\| [[Augene]] (27e) / ~~Eugene~~ (27)		\| [[Augene]] (27e) / eugene (27)
	\| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]]		\| [[3L 3s]], [[3L 6s]], [[3L 9s]], [[12L 3s]]
	\|-		\|-
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	\| 9		\| 9
	\| 1\27		\| 1\27
	\| [[Niner]] (27e~~)<br>[[Ennealimmal]] (out of tune~~)		\| [[Niner]] (27e)
	\| [[9L 9s]]		\| [[9L 9s]]
	\|}		\|}

			In addition, 27edo can be used as a detempering target for [[ennealimmal]].

	=== Commas ===		=== Commas ===

FloraC: /* Notation */ improve description

2026-05-12T14:15:47Z

Notation: improve description

← Older revision		Revision as of 14:15, 12 May 2026
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	=== Stein–Zimmermann–Gould notation ===		=== Stein–Zimmermann–Gould notation ===
	[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:		[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
	{{Sharpness-sharp4-szg}}		{{Sharpness-sharp4-szg}}

FloraC: /* Notation */ SZG notation

2026-05-12T12:39:02Z

Notation: SZG notation

← Older revision		Revision as of 12:39, 12 May 2026
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	\|+ style="font-size: 105%;" \| Circle of fifths in 27edo		\|+ style="font-size: 105%;" \| Circle of fifths in 27edo
	\|- style="white-space: nowrap;"		\|- style="white-space: nowrap;"
	!Cents		! Cents
	! colspan="2" \| Extended<br />Pythagorean<br />notation		! colspan="2" \| Extended<br>Pythagorean<br>notation
	! colspan="2" \| Quartertone<br />notation		! colspan="2" \| Quartertone<br>notation
	\|-		\|-
	\| 0.0		\| 0.0
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	Using standard [[chain-of-fifths notation]], a sharp (an augmented unison) raises a note by 4 edosteps, just one edostep beneath the following nominal, and the flat conversely lowers. The sharp is quite wide at about 178¢, sounding like a narrow major 2nd. C to C♯ describes the approximate 10/9 and 11/10 interval. An accidental can be divided in half, and the remaining places can then be filled in with half-sharps, half-flats, sesquisharps, and sesquiflats, reducing the need for double sharps and double flats. The half-sharp is notated as a quartertone, but at about 89¢ it sounds more like a narrow semitone. The gamut from C to D is C, D♭, C{{demisharp2}}, D{{demiflat2}}, C♯, and D, with many ascending intervals appearing to be descending on the staff.		Using standard [[chain-of-fifths notation]], a sharp (an augmented unison) raises a note by 4 edosteps, just one edostep beneath the following nominal, and the flat conversely lowers. The sharp is quite wide at about 178¢, sounding like a narrow major 2nd. C to C♯ describes the approximate 10/9 and 11/10 interval. An accidental can be divided in half, and the remaining places can then be filled in with half-sharps, half-flats, sesquisharps, and sesquiflats, reducing the need for double sharps and double flats. The half-sharp is notated as a quartertone, but at about 89¢ it sounds more like a narrow semitone. The gamut from C to D is C, D♭, C{{demisharp2}}, D{{demiflat2}}, C♯, and D, with many ascending intervals appearing to be descending on the staff.

	=== ~~Ups~~ and downs notation ===		=== Stein–Zimmermann–Gould notation ===
	27edo can be notated with [[ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.		[[Stein–Zimmermann–Gould notation]] uses sharps and flats with arrows:
			{{Sharpness-sharp4-szg}}

			=== Kite's ups and downs notation ===
			27edo can also be notated with [[Kite's ups and downs notation\|Kite's ups and downs]], spoken as up, dup, downsharp, sharp, upsharp etc. and down, dud, upflat etc. Note that dup is equivalent to dudsharp and dud is equivalent to dupflat.
	{{Ups and downs sharpness}}		{{Ups and downs sharpness}}
	~~[[Alternative symbols for ups and downs notation\|Alternatively,]] sharps and flats with arrows can be used, borrowed from extended [[Helmholtz–Ellis notation]]:~~
	~~{{Sharpness-sharp4}}~~

	=== Sagittal notation ===		=== Sagittal notation ===

FloraC: /* Music */ +++

2026-05-07T10:46:09Z

Music: +++

← Older revision		Revision as of 10:46, 7 May 2026
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	* [https://www.youtube.com/watch?v=hY0zo6MqQtU ''Waltz No. 11 in A flat major''] (2026)		* [https://www.youtube.com/watch?v=hY0zo6MqQtU ''Waltz No. 11 in A flat major''] (2026)
	* [https://www.youtube.com/watch?v=wY43YLa17s4 ''Plane Sonatina No. 4''] (2026)		* [https://www.youtube.com/watch?v=wY43YLa17s4 ''Plane Sonatina No. 4''] (2026)

			; [[groundfault]]
			* From ''A New Dusk'' (2024) – [https://groundfco.bandcamp.com/album/a-new-dusk Bandcamp] \| [https://www.youtube.com/watch?v=1bnEO8vGvbo YouTube]
			** "Back Stalk"
			** "Superior Intermedial" – in part, the rest being in 31edo
			** "Revelation of Your Forever"
			* "Sakura Blade Minivan", from ''Souvenirs of the Affliction'' (2025) – [https://groundfco.bandcamp.com/track/sakura-blade-minivan-27-35edo-2 Bandcamp] \| [https://www.youtube.com/watch?v=rrjuGmmodn0&t=1436 YouTube (23:56–27:58)] – in part, the rest being in 35edo

	; [[Igliashon Jones]]		; [[Igliashon Jones]]

Francium: /* 21st century */ +music

2026-05-06T19:23:06Z

21st century: +music

← Older revision		Revision as of 19:23, 6 May 2026
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	* "Router-Pseudoscientist" from ''TOTMC 2025'' (2025) – [https://open.spotify.com/track/5qrXYuhz3XOEaUyFvP4ldp Spotify] \| [https://francium223.bandcamp.com/track/router-pseudoscientist Bandcamp] \| [https://www.youtube.com/watch?v=Wfg2gWW9qZg YouTube]		* "Router-Pseudoscientist" from ''TOTMC 2025'' (2025) – [https://open.spotify.com/track/5qrXYuhz3XOEaUyFvP4ldp Spotify] \| [https://francium223.bandcamp.com/track/router-pseudoscientist Bandcamp] \| [https://www.youtube.com/watch?v=Wfg2gWW9qZg YouTube]
	* [https://www.youtube.com/watch?v=hY0zo6MqQtU ''Waltz No. 11 in A flat major''] (2026)		* [https://www.youtube.com/watch?v=hY0zo6MqQtU ''Waltz No. 11 in A flat major''] (2026)
			* [https://www.youtube.com/watch?v=wY43YLa17s4 ''Plane Sonatina No. 4''] (2026)

	; [[Igliashon Jones]]		; [[Igliashon Jones]]

BudjarnLambeth: /* 21st century */ add 1

2026-04-11T12:05:38Z

21st century: add 1

← Older revision		Revision as of 12:05, 11 April 2026
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	; [[Brendan Byrnes]]		; [[Brendan Byrnes]]
	* [https://www.youtube.com/watch?v=sWaqlAgSWcc ''Sunspots''] (2022)		* [https://www.youtube.com/watch?v=sWaqlAgSWcc ''Sunspots''] (2022)
			* ''27 EDO Etude'' (2022)
			** [https://brendanbyrnes.bandcamp.com/track/27-edo-etude on Bandcamp]
			** [https://m.youtube.com/watch?v=Lml2cfJW9QI on YouTube] (with sheet music)
	* [https://www.youtube.com/watch?v=lywpWPBYQi0 ''Istril Bloom''] (2025)		* [https://www.youtube.com/watch?v=lywpWPBYQi0 ''Istril Bloom''] (2025)

Francium: /* 21st century */ +music; +links

2026-02-15T15:26:03Z

21st century: +music; +links

← Older revision		Revision as of 15:26, 15 February 2026
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	; [[Francium]]		; [[Francium]]
	* [https://www.youtube.com/watch?v=3Ty3FpmAdGA ''Happy Birthday in 27edo''] (2025)		* [https://www.youtube.com/watch?v=3Ty3FpmAdGA ''Happy Birthday in 27edo''] (2025)
	* [https://www.youtube.com/watch?v=Wfg2gWW9qZg ''~~Router-Pseudoscientist~~''] (~~2025~~)		* "Router-Pseudoscientist" from ''TOTMC 2025'' (2025) – [https://open.spotify.com/track/5qrXYuhz3XOEaUyFvP4ldp Spotify] \| [https://francium223.bandcamp.com/track/router-pseudoscientist Bandcamp] \| [https://www.youtube.com/watch?v=Wfg2gWW9qZg YouTube]
			* [https://www.youtube.com/watch?v=hY0zo6MqQtU ''Waltz No. 11 in A flat major''] (2026)

	; [[Igliashon Jones]]		; [[Igliashon Jones]]

FloraC: Recategorize

2026-01-28T08:33:32Z

Recategorize

← Older revision		Revision as of 08:33, 28 January 2026
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	* "Funkrotonal" from ''Microtonal Allsorts'' (2023) – [https://open.spotify.com/track/1zjNkbm8kIkuCxtodyFCL0 Spotify] \| [https://xotla.bandcamp.com/track/funkrotonal-27edo Bandcamp] \| [https://www.youtube.com/watch?v=7gt1BBJuJsE YouTube]		* "Funkrotonal" from ''Microtonal Allsorts'' (2023) – [https://open.spotify.com/track/1zjNkbm8kIkuCxtodyFCL0 Spotify] \| [https://xotla.bandcamp.com/track/funkrotonal-27edo Bandcamp] \| [https://www.youtube.com/watch?v=7gt1BBJuJsE YouTube]

	~~[[Category:Augene]]~~
	[[Category:Listen]]		[[Category:Listen]]
			[[Category:Augmented]]
	[[Category:Sensi]]		[[Category:Sensi]]
	[[Category:Superpyth]]		[[Category:Superpyth]]
	[[Category:Tetracot]]		[[Category:Tetracot]]
	[[Category:Twentuning]]		[[Category:Twentuning]]

Lucius Chiaraviglio: /* 21st century */ Bryan Deister's ''Flies Control My Pain - 27edo'' (2026): Add note of temperament switch

2026-01-17T02:14:12Z

21st century: Bryan Deister's ''Flies Control My Pain - 27edo'' (2026): Add note of temperament switch

← Older revision		Revision as of 02:14, 17 January 2026
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	* [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025)		* [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025)
	* [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025)		* [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025)
	* ''Flies Control My Pain - 27edo'' (2026) [https://www.youtube.com/shorts/sKnjDPEOQtc <nowiki>[short 1]</nowiki>]; [https://www.youtube.com/shorts/QEebNJkcIlE <nowiki>[short 2]</nowiki>]		* ''Flies Control My Pain - 27edo'' (2026)
			** [https://www.youtube.com/shorts/sKnjDPEOQtc <nowiki>[short 1]</nowiki>] (using [[tetracot]] Lumatone mapping)
			** [https://www.youtube.com/shorts/QEebNJkcIlE <nowiki>[short 2]</nowiki>] (using [[Starling_temperaments#Kumonga\|kumonga]] Lumatone mapping)

	; [[Francium]]		; [[Francium]]

Lucius Chiaraviglio: /* 21st century */ Bryan Deister's ''Flies Control My Pain - 27edo'' (2026): Add [short 2]

2026-01-16T16:52:07Z

21st century: Bryan Deister's ''Flies Control My Pain - 27edo'' (2026): Add [short 2]

← Older revision		Revision as of 16:52, 16 January 2026
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	* [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025)		* [https://www.youtube.com/shorts/FSPUebavRCQ ''27edo waltz''] (2025)
	* [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025)		* [https://www.youtube.com/shorts/izpEen38Sps ''27edo improv''] (2025)
	* [https://www.youtube.com/shorts/sKnjDPEOQtc ''<nowiki>~~Flies Control My Pain - 27edo~~ [short 1]</nowiki>''] ~~(2026)~~		* ''Flies Control My Pain - 27edo'' (2026) [https://www.youtube.com/shorts/sKnjDPEOQtc <nowiki>[short 1]</nowiki>]; [https://www.youtube.com/shorts/QEebNJkcIlE <nowiki>[short 2]</nowiki>]

	; [[Francium]]		; [[Francium]]