729/484
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| Ratio | 729/484 |
| Factorization | 2-2 × 36 × 11-2 |
| Monzo | [-2 6 0 0 -2⟩ |
| Size in cents | 709.09412¢ |
| 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.