297/256: Difference between revisions

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'''297/256''', the '''Alpharabian ultramajor second''', is the basic ultramajor second in the 2.3.11 [[subgroup]]. It differs from the [[22/19]] undevicesimal semifourth by [[513/512]], and differs from [[7/6]] by [[896/891]]. As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[9/8]].

In tonal music, it is a useful paradiatonic interval, as a 1/1-27/22-16/11-512/297 chord can be built on top of a note situated at this distance from the Tonic, and this chord can lead into a 1/1-6/5-3/2 triad built on the note located at 5/4 above the Tonic. ~~As if that weren't enough~~, Kyle Gann ~~had reason to use this interval~~ [https://kylegann.com/DifferentServingofTapioca.pdf in his music].

In tonal music, it is a useful paradiatonic interval, as a 1/1-27/22-16/11-512/297 chord can be built on top of a note situated at this distance from the Tonic, and this chord can lead into a 1/1-6/5-3/2 triad built on the note located at 5/4 above the Tonic. In addition, Kyle Gann [https://kylegann.com/DifferentServingofTapioca.pdf had reason to use this interval in his music] in a different context- specifically in the piece "Custer and Sitting Bull" as part of a pair of scales that, together, were used to represent General George Armstrong Custer.

== See also ==

* [[512/297]] – its [[octave complement]]

* [[Gallery of just intervals]]

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 '''297/256''', the '''Alpharabian ultramajor second''', is the basic ultramajor second in the 2.3.11 [[subgroup]].  It differs from the [[22/19]] undevicesimal semifourth by [[513/512]], and differs from [[7/6]] by [[896/891]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[9/8]].
-In tonal music, it is a useful paradiatonic interval, as a 1/1-27/22-16/11-512/297 chord can be built on top of a note situated at this distance from the Tonic, and this chord can lead into a 1/1-6/5-3/2 triad built on the note located at 5/4 above the Tonic.  As if that weren't enough, Kyle Gann had reason to use this interval [https://kylegann.com/DifferentServingofTapioca.pdf in his music].
+In tonal music, it is a useful paradiatonic interval, as a 1/1-27/22-16/11-512/297 chord can be built on top of a note situated at this distance from the Tonic, and this chord can lead into a 1/1-6/5-3/2 triad built on the note located at 5/4 above the Tonic.  In addition, Kyle Gann [https://kylegann.com/DifferentServingofTapioca.pdf had reason to use this interval in his music] in a different context- specifically in the piece "Custer and Sitting Bull" as part of a pair of scales that, together, were used to represent General George Armstrong Custer.
 == See also ==
 * [[512/297]] – its [[octave complement]]
 * [[Gallery of just intervals]]