User:R-4981/Redbull: Difference between revisions
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[[File:Redbull Cromatic Scale.mp3|thumb|A chromatic redbull scale on A.]] | [[File:Redbull Cromatic Scale.mp3|thumb|A chromatic redbull scale on A.]] | ||
'''Redbull''' is an "irregular" [[temperament]] obtained by recursively dividing one octave on the logarithmic scale (1200 [[cent|¢]]) by 1:√3 into 16 tones. This is not a [[regular temperament]], and it is impossible to approximate it with them, but on the other hand it has very systematic and unique properties that are completely different from them. | '''Redbull''' is an "irregular" [[temperament]] obtained by recursively dividing one [[octave]] on the logarithmic scale (1200 [[cent|¢]]) by 1:√3 into 16 tones. This is not a [[regular temperament]], and it is impossible to approximate it with them, but on the other hand it has very systematic and unique properties that are completely different from them. | ||
[[File:Redbull Scale's Theory.png|thumb|An easy-to-understand (not accurate) illustration of the theory of the Redbull Scale.]] | [[File:Redbull Scale's Theory.png|thumb|An easy-to-understand (not accurate) illustration of the theory of the Redbull Scale.]] | ||
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As we all know, 400¢ is the most commonly used approximation to [[5/4]]. This interval is also expressed as [[3edo|1\3]], but its square root on the logarithmic axis, 692.82¢ (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 is 985.64¢, which works as an approximation of [[7/4]] or [[9/5]], and the tetrachord that combines these is 4:5:6:7, the so-called It will be the minor 7th. Applying this property, the temperament that is created as a result of recursively dividing those intervals futhermore twice is Redbull. | As we all know, 400¢ is the most commonly used approximation to [[5/4]]. This interval is also expressed as [[3edo|1\3]], but its square root on the logarithmic axis, 692.82¢ (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 is 985.64¢, which works as an approximation of [[7/4]] or [[9/5]], and the tetrachord that combines these is 4:5:6:7, the so-called It will be the minor 7th. Applying this property, the temperament that is created as a result of recursively dividing those intervals futhermore twice is Redbull. | ||
Most of the notes on this temperament are irrational numbers in both cent and frequency units, so redbull cannot be reproduced with [[ | Most of the notes on this temperament are irrational numbers in both cent and frequency units, so redbull cannot be reproduced with [[edo]]. Also, since there is no interval that can be called a generator, so redbull is also impossible to approximate it as a [[mos scale]]. Therefore, as mentioned at the beginning, redbull is very special and irregular temperament. Also, since there is no interval that can be called a generator, and it varies even by one step, there are many intervals within Redbull that approximate [[just intonation]], just like [[afdo]]s. | ||
== Intervals == | == Intervals == | ||
If you need exact cent values, please refer to the Scala file below. | If you need exact cent values, please refer to the Scala file below. | ||
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== | == Properties and trivia == | ||
[[File:Redbull Pentic.mp3|thumb|A pentatonic redbull scale on A.]] | [[File:Redbull Pentic.mp3|thumb|A pentatonic redbull scale on A.]] | ||
* As mentioned above, the 4-step chord in Redbull is similar to the seventh in | * As mentioned above, the 4-step chord in Redbull is similar to the seventh in [[12edo]], but since 4 is a divisor of 16, there are only 4 types of these chords, and the others are only inversions. | ||
* in Redbull, a chord obtained by estimating three steps can be approximated in only one way by | * in Redbull, a chord obtained by estimating three steps can be approximated in only one way by just intonation: 5:6:7:8:9.{{clarify}} | ||
* Furthermore, Redbull has a pentatonic, which is similar to [[2L 3s]], and the constituent notes of that scale can be approximated as 9:12:13:16:17 in | * Furthermore, Redbull has a pentatonic, which is similar to [[2L 3s]], and the constituent notes of that scale can be approximated as 9:12:13:16:17 in just intonation. | ||
* Redbull is the (probably) first scale to have an article on the Xenharmonic Wiki, even though it is neither | * Redbull is the (probably) first scale to have an article on the Xenharmonic Wiki, even though it is neither regular nor historical temperaments.{{clarify}} | ||
* The name "Redbull" comes from a | * The name "Redbull" comes from a {{w|Red Bull|famous energy drink from Australia}}. This drink is popular all over the world due to its fruity taste and reasonable price. | ||
== Scala file == | == Scala file == | ||