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Interval information
Ratio 1331/1024
Factorization 2-10 × 113
Monzo [-10 0 0 0 3
Size in cents 453.95383¢
Name Axirabian ultramajor third
Color name 1o33, trilo 3rd
FJS name [math]\text{m3}^{11,11,11}[/math]
Special properties reduced
Tenney height (log2 nd) 20.3783
Weil height (log2 max(n, d)) 20.7566
Wilson height (sopfr (nd)) 53
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.58718 bits
open this interval in xen-calc

1331/1024, the Axirabian ultramajor third, or octave-reduced 1331st harmonic, is an 11-limit interval that results from stacking three 11/8 fourths and octave reducing. It is extremely close in size to both 13/10 and a stack of four apotomes, differing from the former by the jacobin comma and differing from the latter by the frameshift comma.

See also