176/117
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Ratio | 176/117 |
Factorization | 2^{4} × 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 (log_{2} nd) | 14.3298 |
Weil height (log_{2} 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
- 117/88 – its octave complement
- 182/121 – the minor minthmic fifth
- Gallery of just intervals