176/117
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| 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
- 117/88 – its octave complement
- 182/121 – the minor minthmic fifth
- Gallery of just intervals