182/121

Interval information

Ratio	182/121
Factorization	2 × 7 × 11-2 × 13
Monzo	[1 0 0 1 -2 1⟩
Size in cents	706.7177¢
Name	(tridecimal) gentle fifth
FJS name	[math]\displaystyle{ \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
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182/121, the (tridecimal) gentle fifth, is a 13-limit interval measuring about 706.7 ¢. It is a gentle comma (364/363) sharp of the perfect fifth (3/2). It is found between 11/14 and 13/11 (13/11 * 14/11 = 182/121).

Approximation

The gentle fifth 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 minthmic fifth (176/117, 706.8803 ¢), found between 13/16 and 11/9 (11/9 * 16/13 = 176/117).

See also

• Gallery of just intervals