Carlos Beta - Revision history

Hstraub: Link to German

2026-01-02T09:26:35Z

Link to German

← Older revision		Revision as of 09:26, 2 January 2026
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			{{interwiki
			\|en = Carlos_Beta
			\|de = Carlos_Beta
			}}
	{{Wikipedia\|Beta scale}}		{{Wikipedia\|Beta scale}}
	'''Carlos Beta''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 63.833{{cent}}, or almost exactly every fifth step of [[94edo]]. In this temperament, the interval of 11 steps approximates [[3/2]], that of 6 steps approximates [[5/4]], and that of 5 steps approximates [[6/5]].		'''Carlos Beta''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 63.833{{cent}}, or almost exactly every fifth step of [[94edo]]. In this temperament, the interval of 11 steps approximates [[3/2]], that of 6 steps approximates [[5/4]], and that of 5 steps approximates [[6/5]].

Lucius Chiaraviglio: /* Music */ Add Microtonal Improvisation in Carlos Beta by Bryan Deister

2025-04-28T07:13:44Z

Music: Add Microtonal Improvisation in Carlos Beta by Bryan Deister

← Older revision		Revision as of 07:13, 28 April 2025
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version		* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version
			* [https://www.youtube.com/shorts/bqbwHuBJHJQ ''Microtonal Improvisation in Carlos Beta''] (2023)

	; [[Omega9\|Omega9 & MÜÜR]]		; [[Omega9\|Omega9 & MÜÜR]]

Sintel at 20:31, 12 April 2025

2025-04-12T20:31:35Z

← Older revision		Revision as of 20:31, 12 April 2025
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	</math>		</math>

	equal steps and the fifth in 10.996753 equal steps of 63.832933{{cent}} each<ref>Dave Benson, ''Music: A Mathematical Offering'', pp. 232-233.</ref>. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into eleven parts of 63.8141{{cent}} each (11ed3/2), corresponding to 18.8046[[edo]].		equal steps and the fifth in 10.996753 equal steps of 63.832933{{cent}} each<ref>Dave Benson, ''Music: A Mathematical Offering'', pp. 232-233.</ref>. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into eleven parts of 63.8141{{cent}} each ([[11edf\|11ed3/2]]), corresponding to 18.8046[[edo]].

	Carlos Beta is related to the [[sycamore family]] of temperaments – betic and [[5-limit]] sycamore in particular.		Carlos Beta is related to the [[sycamore family]] of temperaments – betic and [[5-limit]] sycamore in particular.

Omega9: /* Music */

2024-05-02T08:17:43Z

Music

← Older revision		Revision as of 08:17, 2 May 2024
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	* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version		* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version

	; [[Omega9]]		; [[Omega9\|Omega9 & MÜÜR]]
	* [https://www.youtube.com/watch?v=~~qnIKaWhjZj0 ''cærulea''~~]~~{{dead link}}~~		* ''Elirejo de tempo'' – [https://www.youtube.com/watch?v=qWXeoVCxL5k YouTube] \| [https://blend.io/project/5e0459e6573b324b537f3682 Multitrack]
	* ''~~Way Without Time OST~~'' – [https://~~web~~.~~archive~~.~~org~~/~~web~~/~~20201127014140~~/~~http~~://~~micro~~.~~soonlabel~~.com/~~gene_ward_smith/Others/Omega9/Way%20Without%20Time%20OST.mp3 play~~] \| [https://~~soundcloud~~.~~com~~/~~omega9~~/~~way-without-time-ost SoundCloud~~]~~{{dead link}}~~		* ''Cærulea'' – [https://www.youtube.com/watch?v=NBfW6LC-Vec YouTube] \| [https://blend.io/project/5e0459e61a4f113326352b85 Multitrack]
	* ''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] \| [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube]		* ''Tempo kaj Ĥrono'' – [https://www.youtube.com/watch?v=OfQwGcJjMAo YouTube] \| [https://blend.io/project/5e045a48f24d7af73aa4edf4 Multitrack]
			*''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] \| [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube]
	* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] \| [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] \| [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version		* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] \| [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] \| [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version

Zhenlige: /* Intervals */improve precision; according to above, 3/2 is not exact

2024-04-26T15:46:33Z

Intervals: improve precision; according to above, 3/2 is not exact

Show changes

MissMagenta at 23:13, 2 February 2024

2024-02-02T23:13:15Z

← Older revision		Revision as of 23:13, 2 February 2024
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	* ''UGDoLA'' (2011) – [http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html blog] \| [https://www.youtube.com/watch?v=mghWWIUjh9o YouTube]		* ''UGDoLA'' (2011) – [http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html blog] \| [https://www.youtube.com/watch?v=mghWWIUjh9o YouTube]
	* ''Austrian Fantasy'' (2011) – [http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html blog] \| [https://youtu.be/v4F38G4XKLc YouTube]		* ''Austrian Fantasy'' (2011) – [http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html blog] \| [https://youtu.be/v4F38G4XKLc YouTube]

			; [[MagentaFlavouredMusic]]
			* [https://youtu.be/1HkykxbKBHE ''Carlama'']

	== See also ==		== See also ==

FloraC: /* See also */ link description

2023-11-09T12:45:55Z

FloraC: /* Music */ cleanup

2023-11-09T12:45:00Z

Music: cleanup

← Older revision		Revision as of 12:45, 9 November 2023
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	== Music ==		== Music ==
	{{Catrel\|Carlos Beta tracks}}		{{Catrel\| Carlos Beta tracks }}

	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/watch?v=8qydnXzkbgg Come]		* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version

	; [[Omega9]]		; [[Omega9]]
	* [https://www.youtube.com/watch?v=qnIKaWhjZj0 cærulea]		* [https://www.youtube.com/watch?v=qnIKaWhjZj0 ''cærulea'']{{dead link}}
	* [https://~~soundcloud~~.~~com~~/~~omega9~~/~~way-without-time-ost Way Without Time OST] [~~http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Way%20Without%20Time%20OST.mp3 play]		* ''Way Without Time OST'' – [https://web.archive.org/web/20201127014140/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Way%20Without%20Time%20OST.mp3 play] \| [https://soundcloud.com/omega9/way-without-time-ost SoundCloud]{{dead link}}
	* [https://~~www.youtube~~.com/~~watch?v=eWgb~~-~~ZbgvJI~~ Tionmifarosalmimemkelkfoje] [http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play]		* ''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] \| [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube]
	* [https://www.youtube.com/watch?v=-~~fwA6egaqc4~~ Cordas] [http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] ~~by Omega9~~		* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] \| [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] \| [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version

	; [[Carlo Serafini]]		; [[Carlo Serafini]]
	* [http://www.seraph.it/dep/det/DawnOfBeta.mp3 ~~The Dawn Of Beta~~] ([http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html blog ~~entry~~])		* ''The Dawn Of Beta'' (2011) – [http://www.seraph.it/dep/det/DawnOfBeta.mp3 play] \| [http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html blog]
	* [http://www.seraph.it/dep/det/LonelyBetaWoman.mp3 ~~Lonely Beta Woman~~] ([http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html blog ~~entry~~])		* ''Lonely Beta Woman'' (2011) – [http://www.seraph.it/dep/det/LonelyBetaWoman.mp3 play] \| [http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html blog]
	* [http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3 ~~Over The Beta Rainbow~~] ([http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html blog ~~entry~~])		* ''Over The Beta Rainbow'' (2011) – [http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3 play] \| [http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html blog]
	* [http://www.seraph.it/dep/det/Tribalism2.mp3 ~~Tribalism #2~~] ([http://www.seraph.it/blog_files/e516a6726f78b7c6232b0869222507ff-95.html blog ~~entry~~])		* ''Tribalism #2'' (2011) – [http://www.seraph.it/dep/det/Tribalism2.mp3 play] \| [http://www.seraph.it/blog_files/e516a6726f78b7c6232b0869222507ff-95.html blog]
	* ~~[https://youtu.be/6yBY2AvsUOA3~~ Beta Easter(n) (~~video~~)~~] (~~[http://www.seraph.it/blog_files/9d774615381a06e228b7de11a9394562-97.html blog ~~entry~~])		* ''Beta Easter(n)'' (2011) – [http://www.seraph.it/blog_files/9d774615381a06e228b7de11a9394562-97.html blog] \| [https://youtu.be/6yBY2AvsUOA3 YouTube]
	* [http://www.seraph.it/dep/det/tiBETAnDreams.mp3 ~~tiBETAn Dreams~~] ([http://www.seraph.it/blog_files/~~9029519d60cf978db21549a608ef4ea3~~-99.html blog]~~) (~~[http://www.seraph.it/blog_files/~~7f1eb6f7799c4f90d796396cbade30ce~~-98.html ~~entry~~])		* ''tiBETAn Dreams'' (2011) – [http://www.seraph.it/dep/det/tiBETAnDreams.mp3 play] \| [http://www.seraph.it/blog_files/7f1eb6f7799c4f90d796396cbade30ce-98.html blog #1][http://www.seraph.it/blog_files/9029519d60cf978db21549a608ef4ea3-99.html blog #2]
	* [http://www.seraph.it/dep/det/Angela.mp3 ~~Angela B.~~] ([http://www.seraph.it/blog_files/2edec68ea23551591ff1c0d897e1f8fa-101.html blog ~~entry~~])		* ''Angela B.'' (2011) – [http://www.seraph.it/dep/det/Angela.mp3 play] \| [http://www.seraph.it/blog_files/2edec68ea23551591ff1c0d897e1f8fa-101.html blog]
	* ~~[https://www.youtube.com/watch?v=mghWWIUjh9o~~ UGDoLA (~~video~~)~~] (~~[http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html blog ~~entry~~])		* ''UGDoLA'' (2011) – [http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html blog] \| [https://www.youtube.com/watch?v=mghWWIUjh9o YouTube]
	* [https://~~youtu~~.be/~~v4F38G4XKLc~~ Austrian Fantasy (~~video~~)~~] (~~[http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html blog ~~entry~~])		* ''Austrian Fantasy'' (2011) – [http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html blog] \| [https://youtu.be/v4F38G4XKLc YouTube]

	== See also ==		== See also ==

FloraC: Rework per discussion at talk: Carlos Alpha

2023-11-09T09:14:10Z

Rework per discussion at talk: Carlos Alpha

← Older revision		Revision as of 09:14, 9 November 2023
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	{{Wikipedia\|Beta scale}}		{{Wikipedia\|Beta scale}}
	'''Carlos Beta''' is a non-octave [[equal temperament]] with step size about 63.833 [[cent~~]]s<ref>Wendy Carlos, "Tuning: At the Crossroads", Computer Music Journal vol. 11 no. 1, 1987, pp. 29-43</ref>~~, or almost exactly every fifth step of [[94edo]]. ~~It was invented by~~ [[~~Wendy Carlos~~]].		'''Carlos Beta''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 63.833{{cent}}, or almost exactly every fifth step of [[94edo]]. In this temperament, the interval of 11 steps approximates [[3/2]], that of 6 steps approximates [[5/4]], and that of 5 steps approximates [[6/5]].

	~~In this temperament~~, the ~~interval~~ of ~~11 steps approximates [[~~3/2]], ~~that of 6 steps approximates [[~~5/4]], and ~~that of 5 steps approximates [[~~6/5~~]].~~		== Theory ==
			Carlos provided the tuning of 63.8{{cent}}<ref>Wendy Carlos, "Tuning: At the Crossroads", ''Computer Music Journal'', vol. 11 no. 1, 1987, pp. 29-43</ref><ref>Wendy Carlos, ''Three Asymmetric Divisions of the Octave''. </ref>. Based on her work, Dave Benson optimized the temperament for 3/2, 5/4, and 6/5, such that the tuning divides the octave in

	~~== Theory ==~~		<math>\displaystyle
	~~Carlos optimized the tuning on 3/2, 5/4, and 6/5, such that the tuning divides the octave in~~ <math>\frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)}</math> ~~≃ 18.799074~~ equal steps and the fifth in 10.996753 equal steps of 63.832933 ~~cents~~ each. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into eleven parts of 63.8141 ~~cents~~ each (11ed3/2), corresponding to 18.8046[[edo]].		\frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)} ≃ 18.799074
			</math>

			equal steps and the fifth in 10.996753 equal steps of 63.832933{{cent}} each<ref>Dave Benson, ''Music: A Mathematical Offering'', pp. 232-233.</ref>. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into eleven parts of 63.8141{{cent}} each (11ed3/2), corresponding to 18.8046[[edo]].

	Carlos Beta is related to the [[~~Sycamore~~ family~~\|sycamore temperaments~~]]; betic and [[5-limit]] sycamore in particular.		Carlos Beta is related to the [[sycamore family]] of temperaments – betic and [[5-limit]] sycamore in particular.

	Lookalikes: [[19edo]], [[11edf]], [[30edt]], every 5th step of [[94edo]], every 4th step of [[75edo]]		Lookalikes: [[19edo]], [[11edf]], [[30edt]], every 5th step of [[94edo]], every 4th step of [[75edo]]
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	* [[Carlos super\|Carlos Super Just]]		* [[Carlos super\|Carlos Super Just]]

	== ~~Reference~~ ==		== References ==
	<references/>		<references/>

	== External links ==		== External links ==
	* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article] ([http://www.webcitation.org/5xelDVVBj Permalink])		* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article \| ''Three Asymmetric Divisions of the Octave''] ([http://www.webcitation.org/5xelDVVBj Permalink])

	[[Category:Wendy Carlos]]		[[Category:Wendy Carlos]]

Francium: /* Music */

2023-09-17T09:55:14Z

Music

← Older revision		Revision as of 09:55, 17 September 2023
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	== Music ==		== Music ==
	{{Catrel\|Carlos Beta tracks}}		{{Catrel\|Carlos Beta tracks}}

			; [[Bryan Deister]]
			* [https://www.youtube.com/watch?v=8qydnXzkbgg Come]

	; [[Omega9]]		; [[Omega9]]

← Older revision		Revision as of 08:17, 2 May 2024
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	* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version		* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version

	; [[Omega9]]		; [[Omega9\|Omega9 & MÜÜR]]
	* [https://www.youtube.com/watch?v=~~qnIKaWhjZj0 ''cærulea''~~]~~{{dead link}}~~		* ''Elirejo de tempo'' – [https://www.youtube.com/watch?v=qWXeoVCxL5k YouTube] \| [https://blend.io/project/5e0459e6573b324b537f3682 Multitrack]
	* ''~~Way Without Time OST~~'' – [https://~~web~~.~~archive~~.~~org~~/~~web~~/~~20201127014140~~/~~http~~://~~micro~~.~~soonlabel~~.com/~~gene_ward_smith/Others/Omega9/Way%20Without%20Time%20OST.mp3 play~~] \| [https://~~soundcloud~~.~~com~~/~~omega9~~/~~way-without-time-ost SoundCloud~~]~~{{dead link}}~~		* ''Cærulea'' – [https://www.youtube.com/watch?v=NBfW6LC-Vec YouTube] \| [https://blend.io/project/5e0459e61a4f113326352b85 Multitrack]
	* ''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] \| [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube]		* ''Tempo kaj Ĥrono'' – [https://www.youtube.com/watch?v=OfQwGcJjMAo YouTube] \| [https://blend.io/project/5e045a48f24d7af73aa4edf4 Multitrack]
			*''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] \| [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube]
	* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] \| [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] \| [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version		* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] \| [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] \| [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version

← Older revision		Revision as of 12:45, 9 November 2023
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	== See also ==		== See also ==
	* [[Mason Green's New Common Practice Notation]]		* [[Mason Green's New Common Practice Notation]]
	* [[Carlos Alpha]]		* Carlos' equal scales
	* [[Carlos Gamma]]		** [[Carlos Alpha]]
			** [[Carlos Gamma]]
	* [[Carlos harm\|Carlos Harmonic]]		* [[Carlos harm\|Carlos Harmonic]]
	* [[Carlos super\|Carlos Super Just]]		* [[Carlos super\|Carlos Super Just]]