176/117

Interval information
Ratio	176/117
Factorization	2⁴ × 3^-2 × 11 × 13^-1
Monzo	[4 -2 0 0 1 -1⟩
Size in cents	706.88028¢
Name	minthmic fifth
Color name	3u1o5, thulo 5th
FJS name	[math]\text{P5}^{11}_{13}[/math]
Special properties	reduced
Tenney height (log₂ nd)	14.3298
Weil height (log₂ max(n, d))	14.9189
Wilson height (sopfr (nd))	38
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math])	~4.10955 bits
[sound info]
open this interval in xen-calc

176/117, the minthmic fifth, is a 13-limit interval of 706.8 ¢. It is 352/351 sharp of the just perfect fifth of 3/2. It arises in 13-limit just intonation by lowering 22/13 by 9/8 or by stacking 16/13 and 11/9.

See also