Carlos Gamma - Revision history

Hstraub: Link to German

2026-01-02T09:25:51Z

Link to German

← Older revision		Revision as of 09:25, 2 January 2026
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			{{interwiki
			\|en = Carlos_Gamma
			\|de = Carlos_Gamma
			}}
	{{Wikipedia\|Gamma scale}}		{{Wikipedia\|Gamma scale}}
	'''Carlos Gamma''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 35.099{{cent}}. In this temperament, the interval of 20 steps approximates [[3/2]], that of 11 steps approximates [[5/4]], and that of 9 steps approximates [[6/5]].		'''Carlos Gamma''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 35.099{{cent}}. In this temperament, the interval of 20 steps approximates [[3/2]], that of 11 steps approximates [[5/4]], and that of 9 steps approximates [[6/5]].

Lucius Chiaraviglio: /* Music */ Add Bryan Deister's ''Microtonal Improvisation in Carlos Gamma'' (2023)

2025-06-07T10:41:16Z

Music: Add Bryan Deister's ''Microtonal Improvisation in Carlos Gamma'' (2023)

← Older revision		Revision as of 10:41, 7 June 2025
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/watch?v=MCNtpptAgLE ''180db_{{lbrack}}130{{rbrack}} - Aphex Twin''] (2022)		* [https://www.youtube.com/watch?v=MCNtpptAgLE ''180db_{{lbrack}}130{{rbrack}} - Aphex Twin''] (2022)
			* [https://www.youtube.com/shorts/f-d_RMhgLOE ''Microtonal Improvisation in Carlos Gamma''] (2023)

	; [[James Mulvale]]		; [[James Mulvale]]

Zhenlige: /* Intervals */ improve presicion

2024-12-08T09:52:32Z

Intervals: improve presicion

← Older revision		Revision as of 09:52, 8 December 2024
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	== Intervals ==		== Intervals ==
	The first steps up to two ~~just~~ perfect fifths should give a feeling of the granularity of this system…		The first steps up to two perfect fifths should give a feeling of the granularity of this system…
	{\| class="wikitable"		{\| class="wikitable"
	!Degrees		!Degrees
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	\|-		\|-
	\|1		\|1
	\|35.1		\|35.098542
	\|-		\|-
	\| \|2		\| \|2
	\| \|70.2		\| \|70.197085
	\|-		\|-
	\| \|3		\| \|3
	\| \| 105.29		\| \| 105.295627
	\|-		\|-
	\| \|4		\| \|4
	\| \|140.39		\| \|140.394169
	\|-		\|-
	\| \|5		\| \|5
	\| \|175.49		\| \|175.492711
	\|-		\|-
	\| \|6		\| \|6
	\| \|210.59		\| \|210.591254
	\|-		\|-
	\| \|7		\| \|7
	\| \|245.68		\| \|245.689796
	\|-		\|-
	\| \|8		\| \|8
	\| \| 280.78		\| \| 280.788338
	\|-		\|-
	\| \|9		\| \|9
	\| \|315.88		\| \|315.886881
	\|-		\|-
	\| \|10		\| \|10
	\| \|350.98		\| \|350.985423
	\|-		\|-
	\| \|11		\| \|11
	\| \|386.~~075~~		\| \|386.083965
	\|-		\|-
	\| \|12		\| \|12
	\| \|421.17		\| \|421.182507
	\|-		\|-
	\| \|13		\| \|13
	\| \|456.27		\| \|456.281050
	\|-		\|-
	\| \|14		\| \|14
	\| \|491.37		\| \|491.379592
	\|-		\|-
	\| \|15		\| \|15
	\| \|526.47		\| \|526.478134
	\|-		\|-
	\| \|16		\| \|16
	\| \|561.56		\| \|561.576676
	\|-		\|-
	\| \|17		\| \|17
	\| \|596.66		\| \|596.675219
	\|-		\|-
	\| \|18		\| \|18
	\| \|631.76		\| \|631.773761
	\|-		\|-
	\| \|19		\| \|19
	\| \|666.86		\| \|666.872303
	\|-		\|-
	\| \|20		\| \|20
	\| \|701.~~955~~		\| \|701.970846
	\|-		\|-
	\|21		\|21
	\| 737.05		\| 737.069388
	\|-		\|-
	\|22		\|22
	\|772.15		\|772.167930
	\|-		\|-
	\|23		\|23
	\|807.25		\|807.266472
	\|-		\|-
	\| 24		\| 24
	\|842.35		\|842.365015
	\|-		\|-
	\|25		\|25
	\|877.44		\|877.463557
	\|-		\|-
	\| 26		\| 26
	\|912.54		\|912.562099
	\|-		\|-
	\|27		\|27
	\| 947.64		\| 947.660642
	\|-		\|-
	\|28		\|28
	\| 982.74		\| 982.759184
	\|-		\|-
	\|29		\|29
	\|1017.~~835~~		\|1017.857726
	\|-		\|-
	\| 30		\| 30
	\|1052.93		\|1052.956268
	\|-		\|-
	\| 31		\| 31
	\|1088.03		\|1088.054811
	\|-		\|-
	\|32		\|32
	\|1123.13		\|1123.153353
	\|-		\|-
	\|33		\|33
	\|1158.23		\|1158.251895
	\|-		\|-
	\| 34		\| 34
	\|1193.32		\|1193.350438
	\|-		\|-
	\|35		\|35
	\| 1228.42		\| 1228.448980
	\|-		\|-
	\|36		\|36
	\|1263.52		\|1263.547522
	\|-		\|-
	\| 37		\| 37
	\|1298.62		\|1298.646064
	\|-		\|-
	\|38		\|38
	\|1333.~~715~~		\|1333.744607
	\|-		\|-
	\|39		\|39
	\|1368.81		\|1368.843149
	\|-		\|-
	\|40		\|40
	\|1403.91		\|1403.941691
	\|}		\|}

Fitzgerald Lee: /* Theory */

2024-11-05T00:07:54Z

Theory

← Older revision		Revision as of 00:07, 5 November 2024
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	</math>		</math>

	equal steps and the fifth in 19.999549 equal steps of 35.0985422804{{cent}} each. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into twenty parts of 35.0978{{cent}} each ([[~~20ed3/2~~]]), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.		equal steps and the fifth in 19.999549 equal steps of 35.0985422804{{cent}} each. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into twenty parts of 35.0978{{cent}} each ([[20edf]]), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.

	Carlos Gamma is closely related to the [[gammic]] temperament.		Carlos Gamma is closely related to the [[gammic]] temperament.

MissMagenta at 23:13, 2 February 2024

2024-02-02T23:13:46Z

← Older revision		Revision as of 23:13, 2 February 2024
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	* ''Gamma Constant Structures'' (2021) – [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 play] \| [http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog]		* ''Gamma Constant Structures'' (2021) – [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 play] \| [http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog]
	* ''Early Heaven'' (2023) – [http://www.seraph.it/dep/det/EarlyHeaven.mp3 play] \| [http://www.seraph.it/blog_files/82c7c1e31eb84e1449658e657550c256-338.html blog]		* ''Early Heaven'' (2023) – [http://www.seraph.it/dep/det/EarlyHeaven.mp3 play] \| [http://www.seraph.it/blog_files/82c7c1e31eb84e1449658e657550c256-338.html blog]

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

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

FloraC: /* Music */ cleanup

2023-11-09T13:51:20Z

Music: cleanup

Show changes

FloraC: /* See also */ link description

2023-11-09T12:46:34Z

FloraC: Rework per discussion at talk: Carlos Alpha

2023-11-09T09:20:47Z

Rework per discussion at talk: Carlos Alpha

← Older revision		Revision as of 09:20, 9 November 2023
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	{{Wikipedia\|Gamma scale}}		{{Wikipedia\|Gamma scale}}
	'''Carlos Gamma''' is a non-octave [[equal temperament]] ~~whose~~ step size is 35.~~0985422804~~ [[~~cent~~]]~~s<ref>Wendy Carlos~~, ~~"Tuning: At the Crossroads", Computer Music Journal vol.~~ 11 ~~no. 1~~, ~~1987, pp. 29-43</ref>. It was invented by~~ [[~~Wendy Carlos~~]].		'''Carlos Gamma''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 35.099{{cent}}. In this temperament, the interval of 20 steps approximates [[3/2]], that of 11 steps approximates [[5/4]], and that of 9 steps approximates [[6/5]].

	~~In this temperament~~, the ~~interval~~ of ~~20 steps approximates [[~~3/2]], ~~that of 11 steps approximates [[~~5/4]], and that of 9 ~~steps approximates [[~~6/5]].		== Theory ==
			Carlos provided the tuning of 35.1{{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

			<math>\displaystyle
			\frac{20^2 + 11^2 + 9^2}{20\log_2(3/2) + 11\log_2(5/4) + 9\log_2(6/5)} ≃ 34.189454
			</math>

	~~== Theory ==~~		equal steps and the fifth in 19.999549 equal steps of 35.0985422804{{cent}} each. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into twenty parts of 35.0978{{cent}} each ([[20ed3/2]]), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.
	~~Carlos optimized the tuning on 3/2, 5/4, and 6/5, such that the tuning divides the octave in <math>\frac{20^2 + 11^2 + 9^2}{20\log_2(3/2) + 11\log_2(5/4) + 9\log_2(6/5)}</math> ≃ 34.189454~~ equal steps and the fifth in 19.999549 equal steps of 35.~~098542 cents~~ each. It is thus very close to the [[EDF\|equal division of the just perfect fifth]] into twenty parts of 35.0978 ~~cents~~ each (20ed3/2), which has been oft-misquoted as actually being Wendy Carlos's gamma scale.

	Carlos Gamma is closely related to the [[gammic]] temperament.		Carlos Gamma is closely related to the [[gammic]] temperament.
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	\|1403.91		\|1403.91
	\|}		\|}

	== Music ==		== Music ==
	; [[Bryan Deister]]		; [[Bryan Deister]]
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	== External links ==		== External links ==
	* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article]		* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article \| ''Three Asymmetric Divisions of the Octave'']

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

Francium: /* Compositions */

2023-09-17T09:54:05Z

Compositions

Show changes

Seraph57 at 19:47, 25 July 2023

2023-07-25T19:47:07Z

← Older revision		Revision as of 19:47, 25 July 2023
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	* [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 Gamma Constant Structures] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog entry])		* [http://www.seraph.it/dep/det/GammaConstantStructures.mp3 Gamma Constant Structures] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/3325f9fada5c4d5c3d4dd0c3ced8b2a8-308.html blog entry])
	* [https://youtu.be/2MseEBUhZBQ <nowiki>FASTFAST SpeedRun [Microtonal Chiptune] - Carlos Gamma</nowiki>]		* [https://youtu.be/2MseEBUhZBQ <nowiki>FASTFAST SpeedRun [Microtonal Chiptune] - Carlos Gamma</nowiki>]

			* [http://www.seraph.it/dep/det/EarlyHeaven.mp3 Early Heaven] by [[Carlo Serafini]] ([http://www.seraph.it/blog_files/82c7c1e31eb84e1449658e657550c256-338.html blog entry])

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

← Older revision		Revision as of 12:46, 9 November 2023
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	== See also ==		== See also ==
	* [[Carlos Alpha]]		* Carlos' equal scales
	* [[Carlos Beta]]		** [[Carlos Alpha]]
			** [[Carlos Beta]]
	* [[Carlos harm\|Carlos Harmonic]]		* [[Carlos harm\|Carlos Harmonic]]
	* [[Carlos super\|Carlos Super Just]]		* [[Carlos super\|Carlos Super Just]]