1331/1024
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Ratio | 1331/1024 |
Factorization | 2^{-10} × 11^{3} |
Monzo | [-10 0 0 0 3⟩ |
Size in cents | 453.95383¢ |
Name | Axirabian ultramajor third |
Color name | 1o^{3}3, trilo 3rd |
FJS name | [math]\text{m3}^{11,11,11}[/math] |
Special properties | reduced, reduced harmonic |
Tenney height (log_{2} nd) | 20.3783 |
Weil height (log_{2} 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 |
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.