182/121
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| Ratio | 182/121 |
| Factorization | 2 × 7 × 11-2 × 13 |
| Monzo | [1 0 0 1 -2 1⟩ |
| Size in cents | 706.71768¢ |
| Name | minor minthmic fifth |
| Color name | 3o1uuz6, tholuluzo 6th |
| FJS name | [math]\text{m6}^{7,13}_{11,11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 14.4267 |
| Weil height (log2 max(n, d)) | 15.0156 |
| Wilson height (sopfr (nd)) | 44 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.1083 bits |
[sound info] | |
| open this interval in xen-calc | |
182/121, the minor minthmic fifth, is a 13-limit interval measuring about 706.7 ¢. It is a minor minthma (364/363) sharp of the perfect fifth (3/2). It is the stack of 14/11 and 13/11 ((13/11)(14/11) = 182/121).
Note that minor minthmic modifies fifth and that minor minthmic is the name of the temperament that tempers out 364/363. Minor does not specify the size of the interval here.
Approximation
This interval is rather well approximated by the regular fifths in 17edo: 10\17 is 0.8 ¢ flat of 182/121.
It is also incredibly close to the major minthmic fifth (176/117, 706.8803 ¢), found as a stack of 16/13 and 11/9 ((11/9)(16/13) = 176/117).