User:R-4981/Redbull - Revision history

Lériendil: Lériendil moved page Redbull to User:R-4981/Redbull

2025-03-31T23:13:46Z

Lériendil moved page Redbull to User:R-4981/Redbull

← Older revision	Revision as of 23:13, 31 March 2025
(No difference)

BudjarnLambeth: Added 1 wors

2025-03-27T02:08:49Z

Added 1 wors

← Older revision		Revision as of 02:08, 27 March 2025
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	[[File:Redbull Scale's Theory.png\|thumb\|An illustration of the structure of the Redbull scale.]]		[[File:Redbull Scale's Theory.png\|thumb\|An illustration of the structure of the Redbull scale.]]

	The '''Redbull scale'''{{idiosyncratic}} is a 16-tone [[fractal scale]] obtained by recursively dividing one [[octave]] on the logarithmic scale (1200{{cent}}) with a 1:√3 ratio.		The '''Redbull scale'''{{idiosyncratic}} is a 16-tone logarithmic [[fractal scale]] obtained by recursively dividing one [[octave]] on the logarithmic scale (1200{{cent}}) with a 1:√3 ratio.

	== Theory ==		== Theory ==

R-4981: Pepsi temperament is now available! Enjoy √3 flavors!

2024-01-05T05:23:16Z

Pepsi temperament is now available! Enjoy √3 flavors!

← Older revision		Revision as of 05:23, 5 January 2024
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	* [[Caffeinterval]]		* [[Caffeinterval]]
	* [[Fractal scale]]		* [[Fractal scale]]
			* [[Pepsi]]

	[[Category:Tempered scales]]		[[Category:Tempered scales]]
	[[Category:16-tone scales]]		[[Category:16-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

R-4981: /* Properties and trivia */

2023-12-15T06:29:54Z

Properties and trivia

← Older revision		Revision as of 06:29, 15 December 2023
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	[[File:Redbull Do-Re-Mi.mp3\|thumb\|A "Do-Re-Mi" song in wholetone Redbull scale.]]		[[File:Redbull Do-Re-Mi.mp3\|thumb\|A "Do-Re-Mi" song in wholetone Redbull scale.]]

	* As mentioned above, the [[tetrad]] obtained by stacking 4-steps from the tonic (i.e. starting on degree 0) is similar to the seventh tetrad in [[12edo]], approximating 4:5:6:7. Since 4 is a divisor of 16, there are only 4 types of 4-step tetrads, the others being only inversions, and the other types of 4-step tetrads do not approximate 4:5:6:7. (in example, chords stacked 4 steps from 2 steps above the tonic is approximating 9:11:13:15.)		* As mentioned above, the [[tetrad]] obtained by stacking 4-steps from the tonic (i.e. starting on degree 0) is similar to the seventh tetrad in [[12edo]], approximating 4:5:6:7. Since 4 is a divisor of 16, there are only 4 types of 4-step tetrads, the others being only inversions, and the other types of 4-step tetrads do not approximate 4:5:6:7. (in example, chords stacked 4 steps from 2 steps above the tonic is approximating 9:11:13:17.)
	* The [[pentad]] obtained by stacking 3-steps from the tonic approximates 5:6:7:8:9.		* The [[pentad]] obtained by stacking 3-steps from the tonic approximates 5:6:7:8:9.
	* Furthermore, Redbull has a pentatonic subset which is similar to [[2L 3s]]{{clarify}}, and the constituent notes of that scale can be approximated as 9:12:13:16:17 in just intonation.		* Furthermore, Redbull has a pentatonic subset which is similar to [[2L 3s]]{{clarify}}, and the constituent notes of that scale can be approximated as 9:12:13:16:17 in just intonation.

R-4981: added 11/8 and 9/8

2023-12-15T06:27:02Z

added 11/8 and 9/8

← Older revision		Revision as of 06:27, 15 December 2023
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	\| 2		\| 2
	\| 230.940		\| 230.940
	\| 8/7		\| 8/7, 9/8
	\|-		\|-
	\| 3		\| 3
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	\| 6		\| 6
	\| 569.060		\| 569.060
	\| 25/18, 7/5		\| 25/18, 7/5, 11/8
	\|-		\|-
	\| 7		\| 7

R-4981 at 06:25, 15 December 2023

2023-12-15T06:25:26Z

← Older revision		Revision as of 06:25, 15 December 2023
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	[[File:Redbull Do-Re-Mi.mp3\|thumb\|A "Do-Re-Mi" song in wholetone Redbull scale.]]		[[File:Redbull Do-Re-Mi.mp3\|thumb\|A "Do-Re-Mi" song in wholetone Redbull scale.]]

	* As mentioned above, the [[tetrad]] obtained by stacking 4-steps from the tonic (i.e. starting on degree 0) is similar to the seventh tetrad in [[12edo]], approximating 4:5:6:7. Since 4 is a divisor of 16, there are only 4 types of 4-step tetrads, the others being only inversions, and the other types of 4-step tetrads do not approximate 4:5:6:7.		* As mentioned above, the [[tetrad]] obtained by stacking 4-steps from the tonic (i.e. starting on degree 0) is similar to the seventh tetrad in [[12edo]], approximating 4:5:6:7. Since 4 is a divisor of 16, there are only 4 types of 4-step tetrads, the others being only inversions, and the other types of 4-step tetrads do not approximate 4:5:6:7. (in example, chords stacked 4 steps from 2 steps above the tonic is approximating 9:11:13:15.)
	* The [[pentad]] obtained by stacking 3-steps from the tonic approximates 5:6:7:8:9.		* The [[pentad]] obtained by stacking 3-steps from the tonic approximates 5:6:7:8:9.
	* Furthermore, Redbull has a pentatonic subset which is similar to [[2L 3s]]{{clarify}}, and the constituent notes of that scale can be approximated as 9:12:13:16:17 in just intonation.		* Furthermore, Redbull has a pentatonic subset which is similar to [[2L 3s]]{{clarify}}, and the constituent notes of that scale can be approximated as 9:12:13:16:17 in just intonation.

R-4981 at 12:25, 14 December 2023

2023-12-14T12:25:10Z

← Older revision		Revision as of 12:25, 14 December 2023
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	== Properties and trivia ==		== Properties and trivia ==
	[[File:Redbull Pentic.mp3\|thumb\|A pentatonic Redbull scale on C.]]		[[File:Redbull Pentic.mp3\|thumb\|A pentatonic Redbull scale on C.]]
	[[File:Redbull Do-Re-Mi.mp3\|thumb\|A "Do-Re-Mi" song in Redbull scale.]]		[[File:Redbull Do-Re-Mi.mp3\|thumb\|A "Do-Re-Mi" song in wholetone Redbull scale.]]

	* As mentioned above, the [[tetrad]] obtained by stacking 4-steps from the tonic (i.e. starting on degree 0) is similar to the seventh tetrad in [[12edo]], approximating 4:5:6:7. Since 4 is a divisor of 16, there are only 4 types of 4-step tetrads, the others being only inversions, and the other types of 4-step tetrads do not approximate 4:5:6:7.		* As mentioned above, the [[tetrad]] obtained by stacking 4-steps from the tonic (i.e. starting on degree 0) is similar to the seventh tetrad in [[12edo]], approximating 4:5:6:7. Since 4 is a divisor of 16, there are only 4 types of 4-step tetrads, the others being only inversions, and the other types of 4-step tetrads do not approximate 4:5:6:7.

R-4981 at 15:26, 13 December 2023

2023-12-13T15:26:45Z

← Older revision		Revision as of 15:26, 13 December 2023
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	== Theory ==		== Theory ==
	400{{cent}} is the most commonly used approximation to [[5/4]], mainly due to its use in [[12edo]]. This interval is also expressed as [[3edo\|1\3]], and its square root on the logarithmic scale, ≈692.82{{cent}} (hereinafter expressed as 1\√3 for convenience), functions as an approximation of [[3/2]]. (The comma between these two intervals is called as [[~~Caffeine comma~~]].) Furthermore, the interval divided into √3 equal parts with 1\√3 as the center{{clarify}} is ≈985.641¢, which works as an approximation of [[7/4]] or [[9/5]], and the [[tetrad]] that combines these is 4:5:6:7, the so-called It will be the C7. Applying this property, the scale that is created as a result of recursively dividing those intervals furthermore twice is Redbull.		400{{cent}} is the most commonly used approximation to [[5/4]], mainly due to its use in [[12edo]]. This interval is also expressed as [[3edo\|1\3]], and its square root on the logarithmic scale, ≈692.82{{cent}} (hereinafter expressed as 1\√3 for convenience), functions as an approximation of [[3/2]]. (The comma between these two intervals is called as [[Caffeinterval]].) Furthermore, the interval divided into √3 equal parts with 1\√3 as the center{{clarify}} is ≈985.641¢, which works as an approximation of [[7/4]] or [[9/5]], and the [[tetrad]] that combines these is 4:5:6:7, the so-called It will be the C7. Applying this property, the scale that is created as a result of recursively dividing those intervals furthermore twice is Redbull.

	Most of the notes on this scale are irrational numbers in both cent and frequency units, so Redbull cannot be reproduced with an [[edo]]. Also, since there is no interval that can be called a generator, it is also impossible to approximate Redbull with a [[mos scale]]. Also, since there is no interval that can be called a generator, and it varies even by one step{{clarify}}, there are many intervals within Redbull that approximate [[just intonation]], just like [[afdo]]s.		Most of the notes on this scale are irrational numbers in both cent and frequency units, so Redbull cannot be reproduced with an [[edo]]. Also, since there is no interval that can be called a generator, it is also impossible to approximate Redbull with a [[mos scale]]. Also, since there is no interval that can be called a generator, and it varies even by one step{{clarify}}, there are many intervals within Redbull that approximate [[just intonation]], just like [[afdo]]s.

R-4981 at 15:26, 13 December 2023

2023-12-13T15:26:31Z

← Older revision		Revision as of 15:26, 13 December 2023
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	== See also ==		== See also ==
	* [[~~Caffeine comma~~]]		* [[Caffeinterval]]
	* [[Fractal scale]]		* [[Fractal scale]]

R-4981 at 15:24, 13 December 2023

2023-12-13T15:24:21Z

← Older revision		Revision as of 15:24, 13 December 2023
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	== Theory ==		== Theory ==
	400{{cent}} is the most commonly used approximation to [[5/4]], mainly due to its use in [[12edo]]. This interval is also expressed as [[3edo\|1\3]], and its square root on the logarithmic scale, ≈692.82{{cent}} (hereinafter expressed as 1\√3 for convenience), functions as an approximation of [[3/2]]. Furthermore, the interval divided into √3 equal parts with 1\√3 as the center{{clarify}} is ≈985.641¢, which works as an approximation of [[7/4]] or [[9/5]], and the [[tetrad]] that combines these is 4:5:6:7, the so-called It will be the C7. Applying this property, the scale that is created as a result of recursively dividing those intervals furthermore twice is Redbull.		400{{cent}} is the most commonly used approximation to [[5/4]], mainly due to its use in [[12edo]]. This interval is also expressed as [[3edo\|1\3]], and its square root on the logarithmic scale, ≈692.82{{cent}} (hereinafter expressed as 1\√3 for convenience), functions as an approximation of [[3/2]]. (The comma between these two intervals is called as [[Caffeine comma]].) Furthermore, the interval divided into √3 equal parts with 1\√3 as the center{{clarify}} is ≈985.641¢, which works as an approximation of [[7/4]] or [[9/5]], and the [[tetrad]] that combines these is 4:5:6:7, the so-called It will be the C7. Applying this property, the scale that is created as a result of recursively dividing those intervals furthermore twice is Redbull.

	Most of the notes on this scale are irrational numbers in both cent and frequency units, so Redbull cannot be reproduced with an [[edo]]. Also, since there is no interval that can be called a generator, it is also impossible to approximate Redbull with a [[mos scale]]. Also, since there is no interval that can be called a generator, and it varies even by one step{{clarify}}, there are many intervals within Redbull that approximate [[just intonation]], just like [[afdo]]s.		Most of the notes on this scale are irrational numbers in both cent and frequency units, so Redbull cannot be reproduced with an [[edo]]. Also, since there is no interval that can be called a generator, it is also impossible to approximate Redbull with a [[mos scale]]. Also, since there is no interval that can be called a generator, and it varies even by one step{{clarify}}, there are many intervals within Redbull that approximate [[just intonation]], just like [[afdo]]s.
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	1200.		1200.
	</pre>		</pre>

			== See also ==
			* [[Caffeine comma]]
			* [[Fractal scale]]

	[[Category:Tempered scales]]		[[Category:Tempered scales]]
	[[Category:16-tone scales]]		[[Category:16-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]