108/77

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.13535 bits
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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.

See also

• 77/54 – its octave complement
• 77/72 – its fifth complement
• Gallery of just intervals