891/512: Difference between revisions

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'''891/512''', the '''Alpharabian ultramajor sixth''', is the basic ultramajor sixth in the 2.3.11 [[subgroup]]. It differs from [[7/4]] by the [[pentacircle comma]], and differs from [[512/297]] by the [[Betarabian comma]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[27/16]].
'''891/512''', the '''Alpharabian ultramajor sixth''', is the basic ultramajor sixth in the 2.3.11 [[subgroup]]. It differs from [[7/4]] by the [[pentacircle comma]], and differs from [[512/297]] by the [[Betarabian comma]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[27/16]].
Among the more reasonably-sized large EDOs that represent this interval and other intervals in its class- such as [[297/256]], [[2673/2048]] and [[8019/4096]]- with a pretty good level of accuracy include [[159edo]].


== See also ==
== See also ==
* [[1024/891]] – its [[octave complement]]
* [[1024/891]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 17:12, 8 May 2025

Interval information
Ratio 891/512
Factorization 2-9 × 34 × 11
Monzo [-9 4 0 0 1
Size in cents 959.1379¢
Name Alpharabian ultramajor sixth
Color name L1o6, lalo 6th
FJS name [math]\displaystyle{ \text{M6}^{11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 18.7993
Weil height (log2 max(n, d)) 19.5986
Wilson height (sopfr(nd)) 41
Open this interval in xen-calc

891/512, the Alpharabian ultramajor sixth, is the basic ultramajor sixth in the 2.3.11 subgroup. It differs from 7/4 by the pentacircle comma, and differs from 512/297 by the Betarabian comma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 27/16.

Among the more reasonably-sized large EDOs that represent this interval and other intervals in its class- such as 297/256, 2673/2048 and 8019/4096- with a pretty good level of accuracy include 159edo.

See also