Carlos Alpha - Revision history

Overthink: /* Theory */ mention 354edo being non-patent

2026-03-20T19:33:24Z

Theory: mention 354edo being non-patent

← Older revision		Revision as of 19:33, 20 March 2026
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	It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].		It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].

	Sequence of edos with lower and lower relative error: {{EDOs\| 15, 31, 46, 77, 354 }}.		Sequence of edos with lower and lower relative error: {{EDOs\| 15, 31, 46, 77, 354 }} (though 354edo doesn't support valentine by [[patent val]]).

	== Intervals ==		== Intervals ==

Overthink: /* Intervals */ column size

2026-03-20T19:31:38Z

Intervals: column size

← Older revision		Revision as of 19:31, 20 March 2026
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	! Degrees		! Degrees
	! Cents<br>~(octave-reduced)		! Cents<br>~(octave-reduced)
	! Approximate JI interval (11-limit)		! Approximate JI interval<br>(11-limit)
	\|-		\|-
	\| 0		\| 0

Overthink: /* Intervals */ Expand; reorder; formatting

2026-03-20T19:31:19Z

Intervals: Expand; reorder; formatting

Show changes

Hstraub at 08:23, 2 January 2026

2026-01-02T08:23:31Z

← Older revision		Revision as of 08:23, 2 January 2026
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			{{interwiki
			\|en = Carlos_Alpha
			\|de = Carlos_Alpha
			}}
	{{Wikipedia\|Alpha scale}}		{{Wikipedia\|Alpha scale}}
	'''Carlos Alpha''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 77.965{{cent}}. In this temperament, the interval of 9 steps approximates [[3/2]], that of 5 steps approximates [[5/4]], and that of 4 steps approximates [[6/5]]. The scale can be used with (i.e. [[15L 1s]]) or without octaves.		'''Carlos Alpha''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 77.965{{cent}}. In this temperament, the interval of 9 steps approximates [[3/2]], that of 5 steps approximates [[5/4]], and that of 4 steps approximates [[6/5]]. The scale can be used with (i.e. [[15L 1s]]) or without octaves.

	== Theory ==		== Theory ==

Lériendil at 05:24, 8 September 2025

2025-09-08T05:24:06Z

← Older revision		Revision as of 05:24, 8 September 2025
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	\| \| 20		\| \| 20
	\| \| 1559.300 ~ 359.300		\| \| 1559.300 ~ 359.300
	\| ~~\| 16/13~~		\|
	\|-		\|-
	\| \| 21		\| \| 21

Lériendil: no need for these insane precision levels

2025-09-08T05:23:47Z

no need for these insane precision levels

Show changes

VectorGraphics at 21:34, 12 April 2025

2025-04-12T21:34:41Z

← Older revision		Revision as of 21:34, 12 April 2025
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	{{Wikipedia\|Alpha scale}}		{{Wikipedia\|Alpha scale}}
	'''Carlos Alpha''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 77.965{{cent}}. In this temperament, the interval of 9 steps approximates [[3/2]], that of 5 steps approximates [[5/4]], and that of 4 steps approximates [[6/5]].		'''Carlos Alpha''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 77.965{{cent}}. In this temperament, the interval of 9 steps approximates [[3/2]], that of 5 steps approximates [[5/4]], and that of 4 steps approximates [[6/5]]. The scale can be used with (i.e. [[15L 1s]]) or without octaves.

	== Theory ==		== Theory ==

Lucius Chiaraviglio: /* Music */ Add improvisation in Carlos Alpha] (2025) by Bryan Deister (NOT the same as the one from 2023)

2025-04-10T08:06:21Z

Music: Add improvisation in Carlos Alpha] (2025) by Bryan Deister (NOT the same as the one from 2023)

← Older revision		Revision as of 08:06, 10 April 2025
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	; [[Bryan Deister]]		; [[Bryan Deister]]
	* [https://www.youtube.com/watch?v=zDwgCHDZpsc Microtonal Improvisation in Carlos Alpha] (2023)		* [https://www.youtube.com/watch?v=zDwgCHDZpsc Microtonal Improvisation in Carlos Alpha] (2023)
			* [https://www.youtube.com/watch?v=xuDni2oQyl8 microtonal improvisation in Carlos Alpha] (2025)

	; [[Mandrake]]		; [[Mandrake]]

Sintel: /* Theory */ fix valentine redirect

2025-04-07T18:57:02Z

Theory: fix valentine redirect

← Older revision		Revision as of 18:57, 7 April 2025
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	equal steps and the fifth in 9.003464 equal steps of 77.964990{{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 nine parts of 77.995{{cent}} each ([[9edf]]), corresponding to 15.3856[[edo]].		equal steps and the fifth in 9.003464 equal steps of 77.964990{{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 nine parts of 77.995{{cent}} each ([[9edf]]), corresponding to 15.3856[[edo]].

	Carlos Alpha is very closely related to [[~~Starling temperaments #~~Valentine ~~temperament~~\|valentine temperament]]. For a list of 11-limit [[dyadic chord]]s of Carlos Alpha, see [[Chords of valentine]].		Carlos Alpha is very closely related to [[Valentine\|valentine temperament]]. For a list of 11-limit [[dyadic chord]]s of Carlos Alpha, see [[Chords of valentine]].

	It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].		It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].

Fitzgerald Lee: /* Theory */

2024-11-05T00:08:55Z

Theory

← Older revision		Revision as of 00:08, 5 November 2024
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	</math>		</math>

	equal steps and the fifth in 9.003464 equal steps of 77.964990{{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 nine parts of 77.995{{cent}} each ([[9edf~~\|9ed3/2~~]]), corresponding to 15.3856[[edo]].		equal steps and the fifth in 9.003464 equal steps of 77.964990{{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 nine parts of 77.995{{cent}} each ([[9edf]]), corresponding to 15.3856[[edo]].

	Carlos Alpha is very closely related to [[Starling temperaments #Valentine temperament\|valentine temperament]]. For a list of 11-limit [[dyadic chord]]s of Carlos Alpha, see [[Chords of valentine]].		Carlos Alpha is very closely related to [[Starling temperaments #Valentine temperament\|valentine temperament]]. For a list of 11-limit [[dyadic chord]]s of Carlos Alpha, see [[Chords of valentine]].
Line 15:		Line 15:
	It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].		It has a very good representation of the 7:8:10:11:12 chord from the [[harmonic series]].

	Sequence of edos with lower and lower relative error: {{EDOs\| 15, 31, 46, 77, 354 }}.		Sequence of edos with lower and lower relative error: {{EDOs\| 15, 31, 46, 77, 354 }}.

	== Intervals ==		== Intervals ==

← Older revision		Revision as of 05:24, 8 September 2025
Line 107:		Line 107:
	\| \| 20		\| \| 20
	\| \| 1559.300 ~ 359.300		\| \| 1559.300 ~ 359.300
	\| ~~\| 16/13~~		\|
	\|-		\|-
	\| \| 21		\| \| 21