2673/2048
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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]\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{nd}[/math])
~4.25988 bits
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.