1331/1024
Jump to navigation
Jump to search
| 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, 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 | |
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.