176/117

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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 major 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{nd}[/math])
~3.51559 bits

[sound info]
open this interval in xen-calc

176/117, the major 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.

Note that major minthmic modifies fifth and that major minthmic is the name of the temperament that tempers out 352/351. Major does not specify the size of the interval here.

See also