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]]. | '''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. | 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]. | ||
== See also == | == See also == | ||
* [[512/297]] – its [[octave complement]] | * [[512/297]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 16:26, 8 May 2025
| Interval information |
reduced harmonic
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 in his music.