8019/4096: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = Alpharabian ultramajor seventh
| Name = Alpharabian ultramajor seventh
| Color name =  
| Color name = L1o7, lalo 7th
}}
}}


'''8019/4096''', the '''Alpharabian ultramajor seventh''', is the basic ultramajor seventh in the 2.3.11 [[subgroup]].  It differs from [[63/32]] by [[896/891]], and differs from [[88/45]] by the [[schisma]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[243/128]].
'''8019/4096''', the '''Alpharabian ultramajor seventh''', is the basic ultramajor seventh in the 2.3.11 [[subgroup]].  It differs from [[63/32]] by [[896/891]], and differs from [[88/45]] by the [[schisma]].  As suggested by its name, it is reached by tacking a [[33/32]] quartertone onto [[243/128]].
Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as [[297/256]], [[2673/2048]] and [[891/512]]- with a pretty good level of accuracy include [[159edo]].


== See also ==
== See also ==
* [[8192/8019]] – its [[octave complement]]
* [[8192/8019]] – its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Latest revision as of 17:20, 8 May 2025

Interval information
Ratio 8019/4096
Factorization 2-12 × 36 × 11
Monzo [-12 6 0 0 1
Size in cents 1163.048¢
Name Alpharabian ultramajor seventh
Color name L1o7, lalo 7th
FJS name [math]\displaystyle{ \text{M7}^{11} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 24.9692
Weil height (log2 max(n, d)) 25.9384
Wilson height (sopfr(nd)) 53
Open this interval in xen-calc

8019/4096, the Alpharabian ultramajor seventh, is the basic ultramajor seventh in the 2.3.11 subgroup. It differs from 63/32 by 896/891, and differs from 88/45 by the schisma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 243/128.

Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as 297/256, 2673/2048 and 891/512- with a pretty good level of accuracy include 159edo.

See also