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]].
'''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]].


== See also ==
== See also ==
* [[297/256]] – its [[octave complement]]
* [[297/256]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 02:54, 11 May 2023

Interval information
Ratio 512/297
Factorization 29 × 3-3 × 11-1
Monzo [9 -3 0 0 -1
Size in cents 942.8171¢
Name Alpharabian inframinor seventh
FJS name [math]\displaystyle{ \text{m7}_{11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 17.2143
Weil norm (log2 max(n, d)) 18
Wilson norm (sopfr(nd)) 38
Open this interval in xen-calc

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.

See also