8019/4096
Jump to navigation
Jump to search
| Ratio | 8019/4096 |
| Factorization | 2-12 × 36 × 11 |
| Monzo | [-12 6 0 0 1⟩ |
| Size in cents | 1163.0479¢ |
| Name | Alpharabian ultramajor seventh |
| Color name | L1o7, lalo 7th |
| FJS name | [math]\text{M7}^{11}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 24.9692 |
| Weil height (log2 max(n, d)) | 25.9384 |
| Wilson height (sopfr(nd)) | 53 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.42574 bits |
| open this interval in xen-calc | |
8019/4096, the Alpharabian ultramajor seventh, is the basic ultramajor seventh in the 2.3.11 subgroup. It differs from 63/32 by 896/891, and differs from 88/45 by the schisma. As suggested by its name, it is reached by tacking a 33/32 quartertone onto 243/128.