2673/2048: Difference between revisions

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'''2673/2048''', the '''Alpharabian ultramajor third''', is the basic ultramajor third in the 2.3.11 [[subgroup]]. It differs from [[21/16]] by the [[pentacircle comma]], and differs from [[128/99]] by the [[Betarabian comma]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[81/64]].
'''2673/2048''', the '''Alpharabian ultramajor third''', is the basic ultramajor third in the 2.3.11 [[subgroup]]. It differs from [[21/16]] by the [[pentacircle comma]], and differs from [[128/99]] by the [[Betarabian comma]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[81/64]].
Among the more reasonably-sized large EDOs that represent this interval and other intervals in its class, such as [[297/512]], [[891/512]] and [[8019/4096]], with a pretty good level of accuracy include [[159edo]].


== See also ==
== See also ==
* [[4096/2673]] – its [[octave complement]]
* [[4096/2673]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 17:10, 8 May 2025

Interval information
Ratio 2673/2048
Factorization 2-11 × 35 × 11
Monzo [-11 5 0 0 1
Size in cents 461.0929¢
Name Alpharabian ultramajor third
Color name L1o3, lalo 3rd
FJS name [math]\displaystyle{ \text{M3}^{11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 22.3842
Weil height (log2 max(n, d)) 22.7685
Wilson height (sopfr(nd)) 48
Open this interval in xen-calc

2673/2048, the Alpharabian ultramajor third, is the basic ultramajor third in the 2.3.11 subgroup. It differs from 21/16 by the pentacircle comma, and differs from 128/99 by the Betarabian comma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 81/64.

Among the more reasonably-sized large EDOs that represent this interval and other intervals in its class, such as 297/512, 891/512 and 8019/4096, with a pretty good level of accuracy include 159edo.

See also