108/77
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Ratio | 108/77 |
Factorization | 2^{2} × 3^{3} × 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 (log_{2} nd) | 13.0217 |
Weil height (log_{2} max(n, d)) | 13.5098 |
Wilson height (sopfr (nd)) | 31 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.13535 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.