1331/1296
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Ratio | 1331/1296 |
Factorization | 2^{-4} × 3^{-4} × 11^{3} |
Monzo | [-4 -4 0 0 3⟩ |
Size in cents | 46.133824¢ |
Names | Alpharabian parachromatic semilimma, Alpharabian semilimmic ultraprime |
Color name | 1o^{3}1, trilo 1sn, Trilo comma |
FJS name | [math]\text{d1}^{11,11,11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 20.7181 |
Weil height (log_{2} max(n, d)) | 20.7566 |
Wilson height (sopfr (nd)) | 53 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.49701 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.