1331/1024
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Ratio
1331/1024
Factorization
2-10 × 113
Monzo
[-10 0 0 0 3⟩
Size in cents
453.9538¢
Name
Axirabian ultramajor third
Color name
1o33, trilo 3rd
FJS name
[math]\text{m3}^{11,11,11}[/math]
Special properties
reduced,
reduced harmonic
Tenney height (log2 nd)
20.3783
Weil height (log2 max(n, d))
20.7566
Wilson height (sopfr(nd))
53
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.24302 bits
open this interval in xen-calc
| Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.