512/297: Difference between revisions
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'''512/297''', the '''Alpharabian inframinor seventh''', is the basic inframinor seventh in the 2.3.11 [[subgroup]]. It differs from the [[19/11]] undevicesimal semitwelfth by [[513/512]], and differs from [[12/7]] by [[896/891]]. As suggested by its name, it is reached by subtracting a [[33/32]] quartertone from [[16/9]]. This particular interval is particularly useful as | '''512/297''', the '''Alpharabian inframinor seventh''', is the basic inframinor seventh in the 2.3.11 [[subgroup]]. It differs from the [[19/11]] undevicesimal semitwelfth by [[513/512]], and differs from [[12/7]] by [[896/891]]. As suggested by its name, it is reached by subtracting a [[33/32]] quartertone from [[16/9]]. This particular interval is particularly useful as an added seventh to [[11-limit]] tertian chords. | ||
Among the more reasonably sized EDOs that represent this interval and other intervals in its class- such as [[8192/8019]], [[1024/891]] and [[4096/2673]]- with a pretty good level of accuracy include [[65edo]] and [[159edo]]. | |||
== See also == | == See also == | ||
* [[297/256]] – its [[octave complement]] | * [[297/256]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Latest revision as of 20:49, 24 April 2026
| Interval information |
reduced subharmonic
512/297, the Alpharabian inframinor seventh, is the basic inframinor seventh in the 2.3.11 subgroup. It differs from the 19/11 undevicesimal semitwelfth by 513/512, and differs from 12/7 by 896/891. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 16/9. This particular interval is particularly useful as an added seventh to 11-limit tertian chords.
Among the more reasonably sized EDOs that represent this interval and other intervals in its class- such as 8192/8019, 1024/891 and 4096/2673- with a pretty good level of accuracy include 65edo and 159edo.