108/77
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Ratio
108/77
Factorization
22 × 33 × 7-1 × 11-1
Monzo
[2 3 0 -1 -1⟩
Size in cents
585.7212¢
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{nd}[/math])
~4.13535 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.