21edo - Revision history

FloraC: /* Music */ sorting, format inside link & misc. cleanup

2026-11-02T08:23:40Z

Music: sorting, format inside link & misc. cleanup

← Older revision		Revision as of 08:23, 2 November 2026
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	=== Modern renderings ===		=== Modern renderings ===
	; {{W\|Earth, Wind & Fire}}		; {{W\|Earth, Wind & Fire}}
	* [https://www.youtube.com/watch?v=sjKr_rUOT18 ''September''] (1978) — microtonal cover in 21edo by [[Stephen Weigel]]		* [https://www.youtube.com/watch?v=sjKr_rUOT18 ''September''] (1978) – microtonal cover in 21edo by [[Stephen Weigel]] (2026)

	=== 21st century ===		=== 21st century ===
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	* [https://www.youtube.com/watch?v=xTcevFGxB_Q ''Huge vibe'']		* [https://www.youtube.com/watch?v=xTcevFGxB_Q ''Huge vibe'']
	* [https://www.youtube.com/watch?v=FW8AMFdkDw4 ''Hearty vibe''] (2024)		* [https://www.youtube.com/watch?v=FW8AMFdkDw4 ''Hearty vibe''] (2024)

			; [[Chi Liu Qian Ying]] (池留牵应)
			* [https://www.bilibili.com/video/BV1ufzTBeEgn ''Moon Fills the Stary Sky (Time Line)''] (2026)

	; [[Bryan Deister]]		; [[Bryan Deister]]
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	; [[Frédéric Gagné]]		; [[Frédéric Gagné]]
	* [https://~~youtu~~.be/tDjLcCictVQ?t=119 ''Tostarena: Ruins (21edo cover)''], from [[XA Discord]]'s ''Xen Cover Project 2'' ([https://musescore.com/user/5995996/scores/8607089 score])		* [https://www.youtube.com/watch?v=tDjLcCictVQ?t=119 ''Tostarena: Ruins (21edo cover)''], from [[XA Discord]]'s ''Xen Cover Project 2'' ([https://musescore.com/user/5995996/scores/8607089 score])

	; [[Frédéric Gagné]], [[Ian Means]] and ~~[[User:AraMax~~\|AraMax]]		; [[Frédéric Gagné]], [[Ian Means]] and {{u\|AraMax}}
	* [https://www.youtube.com/watch?v=9rTbLQ9j1sE&t=135s ''Mirage Haze''], from XA Discord's ''Deleted User EP'' ([https://musescore.com/user/5995996/scores/7852055 score])		* [https://www.youtube.com/watch?v=9rTbLQ9j1sE&t=135s ''Mirage Haze''], from XA Discord's ''Deleted User EP'' ([https://musescore.com/user/5995996/scores/7852055 score])

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	* [https://www.youtube.com/watch?v=tIwfO1lZWAc ''The Bells In The Rain (uses a scale designed for metallic timbres)''] (2025)		* [https://www.youtube.com/watch?v=tIwfO1lZWAc ''The Bells In The Rain (uses a scale designed for metallic timbres)''] (2025)

	; [[~~User:Fitzgerald_Lee\|~~Fitzgerald Lee]]		; [[Fitzgerald Lee]]
	* [https://youtu.be/Nxn2FJWORIg ''Teetering Rag''] (2025)		* [https://youtu.be/Nxn2FJWORIg ''Teetering Rag''] (2025)

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	* [https://soundcloud.com/overtoneshock/little-fugue-21-edo?in=overtoneshock/sets/xenharmonic-microtonal ''Iridescent Wenge Fugue''] (accepted to [https://www.seamusonline.org/ SEAMUS 2018] and [http://eabarndance.com/ Electroacoustic Barn Dance 2018])		* [https://soundcloud.com/overtoneshock/little-fugue-21-edo?in=overtoneshock/sets/xenharmonic-microtonal ''Iridescent Wenge Fugue''] (accepted to [https://www.seamusonline.org/ SEAMUS 2018] and [http://eabarndance.com/ Electroacoustic Barn Dance 2018])
	** [https://www.youtube.com/watch?v=hxPJt812VDA Live performance version] (2026) (1 track performed on Lumatone in [[whitewood]] mapping with [[oneirotonic]] colors; other tracks from version above)		** [https://www.youtube.com/watch?v=hxPJt812VDA Live performance version] (2026) (1 track performed on Lumatone in [[whitewood]] mapping with [[oneirotonic]] colors; other tracks from version above)
	* [https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate ''WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)'']{{dead link}}, an album of xenharmonic Christmas covers, many are in ~~21 EDO~~		* [https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate ''WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)'']{{dead link}}, an album of xenharmonic Christmas covers, many are in 21edo

	; [[Randy Wells]]		; [[Randy Wells]]
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	* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/15%20-%2015.%2021%20octave.mp3 ''Comets Over Flatland 15'']		* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/15%20-%2015.%2021%20octave.mp3 ''Comets Over Flatland 15'']
	* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/18%20-%2018.%2021%20octave.mp3 ''Comets Over Flatland 18'']		* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/18%20-%2018.%2021%20octave.mp3 ''Comets Over Flatland 18'']

	~~; [[Chi Liu Qian Ying]] (池留牵应)~~
	* ''[https://www.bilibili.com/video/BV1ufzTBeEgn Moon Fills the Stary Sky (Time Line)]'' (2026)

	== Books / literature ==		== Books / literature ==

Lucius Chiaraviglio: /* 21st century */ Fix formatting and sort order

2026-11-02T05:32:21Z

21st century: Fix formatting and sort order

← Older revision		Revision as of 05:32, 2 November 2026
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	; [[Budjarn Lambeth]]		; [[Budjarn Lambeth]]
	* [https://www.youtube.com/watch?v=tIwfO1lZWAc ''The Bells In The Rain (uses a scale designed for metallic timbres)''] (2025)		* [https://www.youtube.com/watch?v=tIwfO1lZWAc ''The Bells In The Rain (uses a scale designed for metallic timbres)''] (2025)

			; [[User:Fitzgerald_Lee\|Fitzgerald Lee]]
			* [https://youtu.be/Nxn2FJWORIg ''Teetering Rag''] (2025)

	; [[Claudi Meneghin]]		; [[Claudi Meneghin]]
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	* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/18%20-%2018.%2021%20octave.mp3 ''Comets Over Flatland 18'']		* [http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/18%20-%2018.%2021%20octave.mp3 ''Comets Over Flatland 18'']

	; ~~[[User:Fitzgerald_Lee\|Fitzgerald Lee]]~~		; [[Chi Liu Qian Ying]] (池留牵应)
	* [https://youtu.be/Nxn2FJWORIg ''Teetering Rag''] (2025)


	~~'''~~[[Chi Liu Qian Ying]]~~'''~~ (池留牵应)

	* ''[https://www.bilibili.com/video/BV1ufzTBeEgn Moon Fills the Stary Sky (Time Line)]'' (2026)		* ''[https://www.bilibili.com/video/BV1ufzTBeEgn Moon Fills the Stary Sky (Time Line)]'' (2026)

Haidilao at 02:20, 2 November 2026

2026-11-02T02:20:54Z

← Older revision		Revision as of 02:20, 2 November 2026
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	'''[[Chi Liu Qian Ying]]''' (池留牵应)		'''[[Chi Liu Qian Ying]]''' (池留牵应)

	* [https://www.bilibili.com/video/BV1ufzTBeEgn ''Moon Fills the Stary Sky (Time Line)'' (2026)]		* ''[https://www.bilibili.com/video/BV1ufzTBeEgn Moon Fills the Stary Sky (Time Line)]'' (2026)

	== Books / literature ==		== Books / literature ==

Haidilao at 02:20, 2 November 2026

2026-11-02T02:20:14Z

← Older revision		Revision as of 02:20, 2 November 2026
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	'''[[Chi Liu Qian Ying]]''' (池留牵应)		'''[[Chi Liu Qian Ying]]''' (池留牵应)

	* [https://www.bilibili.com/video/BV1ufzTBeEgn Moon Fills the Stary Sky (Time Line) (2026)]		* [https://www.bilibili.com/video/BV1ufzTBeEgn ''Moon Fills the Stary Sky (Time Line)'' (2026)]

	== Books / literature ==		== Books / literature ==

Haidilao: Added a music from Chi Liu Qian Ying

2026-11-02T02:19:42Z

Added a music from Chi Liu Qian Ying

← Older revision		Revision as of 02:19, 2 November 2026
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	; [[User:Fitzgerald_Lee\|Fitzgerald Lee]]		; [[User:Fitzgerald_Lee\|Fitzgerald Lee]]
	* [https://youtu.be/Nxn2FJWORIg ''Teetering Rag''] (2025)		* [https://youtu.be/Nxn2FJWORIg ''Teetering Rag''] (2025)


			'''[[Chi Liu Qian Ying]]''' (池留牵应)

			* [https://www.bilibili.com/video/BV1ufzTBeEgn Moon Fills the Stary Sky (Time Line) (2026)]

	== Books / literature ==		== Books / literature ==

Lucius Chiaraviglio: /* Music */ Add Modern Renderings section, starting with Earth, Wind & Fire's ''september'' (1978) — microtonal cover by Stephen Weigel (2026)

2026-09-22T04:09:36Z

Music: Add Modern Renderings section, starting with Earth, Wind & Fire's ''september'' (1978) — microtonal cover by Stephen Weigel (2026)

← Older revision		Revision as of 04:09, 22 September 2026
Line 850:		Line 850:

	== Music ==		== Music ==
			=== Modern renderings ===
			; {{W\|Earth, Wind & Fire}}
			* [https://www.youtube.com/watch?v=sjKr_rUOT18 ''September''] (1978) — microtonal cover in 21edo by [[Stephen Weigel]]

			=== 21st century ===
	; [[Abnormality]]		; [[Abnormality]]
	* [https://www.youtube.com/watch?v=EcHBY0S024s ''DEUS EX 5L1s''] (2025)		* [https://www.youtube.com/watch?v=EcHBY0S024s ''DEUS EX 5L1s''] (2025)

Lucius Chiaraviglio: /* Music */ Stephen Weigel's ''Iridescent Wenge Fugue'' (2018): More information version with 1 track performed live on Lumatone (2026)

2026-08-27T19:18:59Z

Music: Stephen Weigel's ''Iridescent Wenge Fugue'' (2018): More information version with 1 track performed live on Lumatone (2026)

← Older revision		Revision as of 19:18, 27 August 2026
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	; [[Stephen Weigel]]		; [[Stephen Weigel]]
	* [https://soundcloud.com/overtoneshock/little-fugue-21-edo?in=overtoneshock/sets/xenharmonic-microtonal ''Iridescent Wenge Fugue''] (accepted to [https://www.seamusonline.org/ SEAMUS 2018] and [http://eabarndance.com/ Electroacoustic Barn Dance 2018])		* [https://soundcloud.com/overtoneshock/little-fugue-21-edo?in=overtoneshock/sets/xenharmonic-microtonal ''Iridescent Wenge Fugue''] (accepted to [https://www.seamusonline.org/ SEAMUS 2018] and [http://eabarndance.com/ Electroacoustic Barn Dance 2018])
	** [https://www.youtube.com/watch?v=hxPJt812VDA ~~Version with~~ 1 track performed ~~live~~ on Lumatone] ~~(2026~~)		** [https://www.youtube.com/watch?v=hxPJt812VDA Live performance version] (2026) (1 track performed on Lumatone in [[whitewood]] mapping with [[oneirotonic]] colors; other tracks from version above)
	* [https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate ''WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)'']{{dead link}}, an album of xenharmonic Christmas covers, many are in 21 EDO		* [https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate ''WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)'']{{dead link}}, an album of xenharmonic Christmas covers, many are in 21 EDO

Lucius Chiaraviglio: /* Music */ Stephen Weigel's ''Iridescent Wenge Fugue'' (2018): Add version with 1 track performed live on Lumatone (2026)

2026-08-27T06:50:40Z

Music: Stephen Weigel's ''Iridescent Wenge Fugue'' (2018): Add version with 1 track performed live on Lumatone (2026)

← Older revision		Revision as of 06:50, 27 August 2026
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	; [[Stephen Weigel]]		; [[Stephen Weigel]]
	* [https://soundcloud.com/overtoneshock/little-fugue-21-edo?in=overtoneshock/sets/xenharmonic-microtonal ''Iridescent Wenge Fugue''] (accepted to [https://www.seamusonline.org/ SEAMUS 2018] and [http://eabarndance.com/ Electroacoustic Barn Dance 2018])		* [https://soundcloud.com/overtoneshock/little-fugue-21-edo?in=overtoneshock/sets/xenharmonic-microtonal ''Iridescent Wenge Fugue''] (accepted to [https://www.seamusonline.org/ SEAMUS 2018] and [http://eabarndance.com/ Electroacoustic Barn Dance 2018])
			** [https://www.youtube.com/watch?v=hxPJt812VDA Version with 1 track performed live on Lumatone] (2026)
	* [https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate ''WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)'']{{dead link}}, an album of xenharmonic Christmas covers, many are in 21 EDO		* [https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate ''WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)'']{{dead link}}, an album of xenharmonic Christmas covers, many are in 21 EDO

Overthink: /* Intervals */ some note names in table; more notation is later

2026-05-25T04:58:58Z

Intervals: some note names in table; more notation is later

← Older revision		Revision as of 04:58, 25 May 2026
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	== Intervals ==		== Intervals ==
	Inconsistent intervals are in ''italics''.		Note names are given with 7edo as the naturals and arrows (written as ^ and v) for inflections up/down by one edostep. Inconsistent intervals are in ''italics''.
	{\| class="wikitable center-1 right-2"
			{\| class="wikitable center-1 right-2 right-3"
	\|-		\|-
	! #		! #
			! Name
	! Cents		! Cents
	! Approximate Ratios*		! Approximate Ratios*
	\|-		\|-
	\| 0		\| 0
			\| C
	\| 0.00		\| 0.00
	\| [[1/1]]		\| [[1/1]]
	\|-		\|-
	\| 1		\| 1
			\| ^C
	\| 57.14		\| 57.14
	\| [[21/20]]		\| [[21/20]]
	\|-		\|-
	\| 2		\| 2
			\| vD
	\| 114.29		\| 114.29
	\| [[14/13]], [[15/14]], [[16/15]]		\| [[14/13]], [[15/14]], [[16/15]]
	\|-		\|-
	\| 3		\| 3
			\| D
	\| 171.43		\| 171.43
	\| ''[[9/8]]'', ''[[13/12]]'', [[35/32]]		\| ''[[9/8]]'', ''[[13/12]]'', [[35/32]]
	\|-		\|-
	\| 4		\| 4
			\| ^D
	\| 228.57		\| 228.57
	\| [[8/7]], ''[[10/9]]''		\| [[8/7]], ''[[10/9]]''
	\|-		\|-
	\| 5		\| 5
			\| vE
	\| 285.71		\| 285.71
	\|''[[6/5]]'', [[7/6]]		\|''[[6/5]]'', [[7/6]]
	\|-		\|-
	\| 6		\| 6
			\| E
	\| 342.86		\| 342.86
	\| [[39/32]], [[128/105]], [[16/13]]		\| [[39/32]], [[128/105]], [[16/13]]
	\|-		\|-
	\| 7		\| 7
			\| ^E
	\| 400.00		\| 400.00
	\| [[5/4]], ''[[9/7]]''		\| [[5/4]], ''[[9/7]]''
	\|-		\|-
	\| 8		\| 8
			\| vF
	\| 457.14		\| 457.14
	\| [[13/10]], [[21/16]]		\| [[13/10]], [[21/16]]
	\|-		\|-
	\| 9		\| 9
			\| F
	\| 514.29		\| 514.29
	\| [[4/3]]		\| [[4/3]]
	\|-		\|-
	\| 10		\| 10
			\| ^F
	\| 571.43		\| 571.43
	\| [[7/5]]		\| [[7/5]]
	\|-		\|-
	\| 11		\| 11
			\| vG
	\| 628.57		\| 628.57
	\| [[10/7]]		\| [[10/7]]
	\|-		\|-
	\| 12		\| 12
			\| G
	\| 685.71		\| 685.71
	\| [[3/2]]		\| [[3/2]]
	\|-		\|-
	\| 13		\| 13
			\| ^G
	\| 742.86		\| 742.86
	\| [[20/13]], [[32/21]]		\| [[20/13]], [[32/21]]
	\|-		\|-
	\| 14		\| 14
			\| vA
	\| 800.00		\| 800.00
	\| [[8/5]], ''[[14/9]]''		\| [[8/5]], ''[[14/9]]''
	\|-		\|-
	\| 15		\| 15
			\| A
	\| 857.14		\| 857.14
	\| [[64/39]], [[105/64]], [[13/8]]		\| [[64/39]], [[105/64]], [[13/8]]
	\|-		\|-
	\| 16		\| 16
			\| ^A
	\| 914.29		\| 914.29
	\|''[[5/3]]'', [[12/7]]		\|''[[5/3]]'', [[12/7]]
	\|-		\|-
	\| 17		\| 17
			\| vB
	\| 971.43		\| 971.43
	\| [[7/4]], ''[[9/5]]''		\| [[7/4]], ''[[9/5]]''
	\|-		\|-
	\| 18		\| 18
			\| B
	\| 1028.57		\| 1028.57
	\| ''[[16/9]]'', ''[[24/13]]'', [[64/35]]		\| ''[[16/9]]'', ''[[24/13]]'', [[64/35]]
	\|-		\|-
	\| 19		\| 19
			\| ^B
	\| 1085.71		\| 1085.71
	\| [[13/7]], [[28/15]], [[15/8]]		\| [[13/7]], [[28/15]], [[15/8]]
	\|-		\|-
	\| 20		\| 20
			\| vC
	\| 1142.86		\| 1142.86
	\| [[40/21]]		\| [[40/21]]
	\|-		\|-
	\| 21		\| 21
			\| C
	\| 1200.00		\| 1200.00
	\| [[2/1]]		\| [[2/1]]

Overthink: /* Notation */ some text

2026-05-25T04:53:00Z

Notation: some text

← Older revision		Revision as of 04:53, 25 May 2026
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	== Notation ==		== Notation ==
			The following table gives a comparison of some notation systems for 21edo.
	{\| class="wikitable center-all right-3 right-5"		{\| class="wikitable center-all right-3 right-5"
	\|-		\|-
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	! [[5L 3s]] octatonic<br>notation		! [[5L 3s]] octatonic<br>notation
	! [[Extended-diatonic interval names\|Extended-diatonic <br> interval name]]		! [[Extended-diatonic interval names\|Extended-diatonic <br> interval name]]
	\|+ ~~style="font-size: 105%; white-space: nowrap;" \| Notation systems for 21edo~~		\|+
	\|-		\|-
	\| 0		\| 0