1331/1296

Interval information

Ratio

1331/1296

Factorization

2^-4 × 3^-4 × 11³

Monzo

[-4 -4 0 0 3⟩

Size in cents

46.13382¢

Name

Alpharabian parachromatic semilimma

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

Open this interval in xen-calc

4096/3993, the Alpharabian parachromatic semilimma, 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.