729/484
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Ratio
729/484
Factorization
2-2 × 36 × 11-2
Monzo
[-2 6 0 0 -2⟩
Size in cents
709.0941¢
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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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.