1331/1296
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Ratio
1331/1296
Factorization
2-4 × 3-4 × 113
Monzo
[-4 -4 0 0 3⟩
Size in cents
46.13382¢
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{nd}[/math])
~4.49701 bits
open this interval in xen-calc
| Interval information |
Alpharabian semilimmic ultraprime
(Shannon, [math]\sqrt{nd}[/math])
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.