182/121: Difference between revisions

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[[page/182_121|182/121]], 706.7177 cents.
{{Infobox Interval
| Name = minor-minthmic fifth
| Color name = 3o1uuz6, tholuluzo 6th
| Sound = Ji-182-121-csound-foscil-220hz.mp3
}}
'''182/121''', the '''minor-minthmic fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. It is a [[364/363|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).


A gentle fifth, found between 11/14 and 13/11.
== Approximation ==
This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.


Rather well approximated by the regular fifths in [[17edo|17edo]].
It is also incredibly close to the major-minthmic fifth ([[176/117]], 706.8803{{cent}}), found as a stack of [[16/13]] and [[11/9]] ((11/9)⋅(16/13) = 176/117).


Also incredibly close to another gentle fifth, 176/117, 706.8803 cents, found between 13/16 and 11/9.
== See also ==
[[Category:13-limit]]
* [[Gallery of just intervals]]
[[Category:just_interval]]
 
[[Category:todo:add_sound_examples]]
[[Category:Fifth]]
[[Category:Minor minthmic]]

Latest revision as of 14:36, 22 July 2026

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]\displaystyle{ \text{m6}^{7,13}_{11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 14.4267
Weil norm (log2 max(n, d)) 15.0156
Wilson norm (sopfr(nd)) 44

[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).

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

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