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	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{nd}[/math])	~3.50839 bits
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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).

See also

• Gallery of just intervals