729/484
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Ratio | 729/484 |
Factorization | 2^{-2} × 3^{6} × 11^{-2} |
Monzo | [-2 6 0 0 -2⟩ |
Size in cents | 709.09412¢ |
Name | Alpharabian wide fifth |
Color name | L1uu5, lalulu 5th |
FJS name | [math]\text{A5}_{11,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 18.4286 |
Weil height (log_{2} max(n, d)) | 19.0196 |
Wilson height (sopfr (nd)) | 44 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.13969 bits |
open this interval in xen-calc |
729/484, the Alpharabian wide fifth (709.09¢), is 243/242 (7.1¢) above the just fifth 3/2. It is the interval created by stacking two 27/22 neutral thirds, and can be considered a superpyth fifth. Oddly enough, it is only about 0.003 cents away from 22edo's approximation of the perfect fifth. This gives 44edo a very accurate 27/22.