729/484

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Interval information
Ratio 729/484
Factorization 2-2 × 36 × 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 (log2 nd) 18.4286
Weil height (log2 max(n, d)) 19.0196
Wilson height (sopfr (nd)) 44
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~3.60379 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.

See also