1024/891: Difference between revisions

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'''1024/891''', the '''Alpharabian inframinor third''', is the basic inframinor third in the 2.3.11 [[subgroup]]. It differs from [[8/7]] by the [[pentacircle comma]], and differs from [[297/256]] by the [[Betarabian comma]]. As suggested by its name, it is reached by subtracting a [[33/32]] quartertone from [[32/27]].
'''1024/891''', the '''Alpharabian inframinor third''', is the basic inframinor third in the 2.3.11 [[subgroup]]. It differs from [[8/7]] by the [[pentacircle comma]], and differs from [[297/256]] by the [[Betarabian comma]]. As suggested by its name, it is reached by subtracting a [[33/32]] quartertone from [[32/27]].
Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as
[[8192/8019]], [[4096/2673]] and [[512/297]]- with a pretty good level of accuracy include 159edo.


== See also ==
== See also ==
* [[891/512]] – its [[octave complement]]
* [[891/512]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Latest revision as of 17:19, 8 May 2025

Interval information
Ratio 1024/891
Factorization 210 × 3-4 × 11-1
Monzo [10 -4 0 0 -1
Size in cents 240.8621¢
Name Alpharabian inframinor third
Color name s1u3, salu 3rd
FJS name [math]\displaystyle{ \text{m3}_{11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 19.7993
Weil height (log2 max(n, d)) 20
Wilson height (sopfr(nd)) 43
Open this interval in xen-calc

1024/891, the Alpharabian inframinor third, is the basic inframinor third in the 2.3.11 subgroup. It differs from 8/7 by the pentacircle comma, and differs from 297/256 by the Betarabian comma. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 32/27.

Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as 8192/8019, 4096/2673 and 512/297- with a pretty good level of accuracy include 159edo.

See also