108/77
Jump to navigation
Jump to search
| Ratio | 108/77 |
| Factorization | 22 × 33 × 7-1 × 11-1 |
| Monzo | [2 3 0 -1 -1⟩ |
| Size in cents | 585.72115¢ |
| Name | symbiotic diminished fifth |
| Color name | 1ur4, luru 4th |
| FJS name | [math]\text{A4}_{7,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 13.0217 |
| Weil height (log2 max(n, d)) | 13.5098 |
| Wilson height (sopfr (nd)) | 31 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.53078 bits |
[sound info] | |
| open this interval in xen-calc | |
108/77 is the 11-limit interval between 11/9 and 12/7. It is 19712/19683 (symbiotic comma, 2.5 ¢) sharp of the Pythagorean diminished fifth 1024/729. Meanwhile, it is 540/539 (swetisma, 3.2 ¢) sharp of 7/5.
Terminology
This interval could also be called the swetismic augmented fourth if viewed as fudging from 7/5 instead.