2673/2048: Difference between revisions

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Created page with "{{Infobox Interval | Name = Alpharabian ultramajor third | Color name = }} '''2673/2048''', the '''Alpharabian ultramajor third''', is the basic ultramajor third in the 2.3...."
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Revision as of 14:40, 19 June 2023

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
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.

See also