1331/1296

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.49701 bits
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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.