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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 ==
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| 230.940
| 230.940
| 8/7
| 8/7, 9/8
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| 25/18, 7/5, 11/8
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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. (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.
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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]]