182/121: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 182/121
| Name = minor minthmic fifth
| Monzo = 1 0 0 1 -2 1
| Color name = 3o1uuz6, tholuluzo 6th
| Cents = 706.71768
| Name = (tridecimal) gentle fifth
| Color name =
| Sound = Ji-182-121-csound-foscil-220hz.mp3
| Sound = Ji-182-121-csound-foscil-220hz.mp3
}}
}}
'''182/121''', the '''(tridecimal) gentle fifth''', is a [[13-limit]] interval measuring about 706.7{{cent}}. 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).
'''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).
 
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 ==
== Approximation ==
The gentle fifth is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.
This interval is rather well approximated by the regular fifths in [[17edo]]: 10\17 is 0.8{{cent}} flat of 182/121.


It is also incredibly close to the minthmic fifth ([[176/117]], 706.8803{{cent}}), found between 13/16 and [[11/9]] (11/9 * [[16/13]] = 176/117).
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).


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:13-limit]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Gentle]]
[[Category:Minor minthmic]]
 
{{todo|add color name}}