1331/1296
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| Ratio | 1331/1296 |
| Factorization | 2-4 × 3-4 × 113 |
| Monzo | [-4 -4 0 0 3⟩ |
| Size in cents | 46.133824¢ |
| Names | Alpharabian parachromatic semilimma, Alpharabian semilimmic ultraprime |
| Color name | 1o31, trilo 1sn, Trilo comma |
| FJS name | [math]\text{d1}^{11,11,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 20.7181 |
| Weil height (log2 max(n, d)) | 20.7566 |
| Wilson height (sopfr (nd)) | 53 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.78055 bits |
| open this interval in xen-calc | |
1331/1296, the Alpharabian parachromatic semilimma or Alpharabian semilimmic ultraprime, is a quartertone in the 11-limit, specifically the 2.3.11 subgroup, that differs from the simpler 33/32 by the rastma, and is also the interval separating 81/64 and 1331/1024. It is of further note that this interval is only just slightly more than half of 256/243- the Pythagorean limma- being separated from the nearby 4096/3993, the interval forming the other part of the Pythagorean limma, by the nexus comma.