2673/2048

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Interval information
Ratio 2673/2048
Factorization 2-11 × 35 × 11
Monzo [-11 5 0 0 1
Size in cents 461.09295¢
Name Alpharabian ultramajor third
Color name L1o3, lalo 3rd
FJS name [math]\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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.58915 bits
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