2673/2048
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Ratio | 2673/2048 |
Factorization | 2^{-11} × 3^{5} × 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 (log_{2} nd) | 22.3842 |
Weil height (log_{2} 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 |
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.