182/121: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = minor minthmic fifth

~~| Ratio = 182/121~~

| Color name = 3o1uuz6, tholuluzo 6th

~~| Monzo = 1 0 0 1 -2 1~~

| Sound = Ji-182-121-csound-foscil-220hz.mp3

~~| Cents = 706.71768~~

| Name = ~~tridecimal gentle~~ fifth

| Color name =

| Sound = Ji-~~{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1~~-~~\2}}~~-csound-foscil-220hz.mp3

}}

'''182/121''', ~~706.7177 cents, is~~ the '''~~gentle~~ fifth''', ~~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).

~~Rather well approximated by~~ the ~~regular fifths in [[17edo]]~~.

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.

~~Also~~ incredibly close to ~~another gentle~~ fifth, [[176/117]], 706.8803 ~~cents~~, found ~~between~~ 13~~/16~~ and [[11/9]] (11/9 * [[16/13]] = 176/117).

== Approximation ==

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 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 ==

* [[Gallery of just intervals]]

~~[[Category:13-limit]]~~

~~[[Category:Just_interval]]~~

[[Category:Fifth]]

[[Category:~~Gentle]]~~

[[Category:Minor minthmic]]

~~[[Category:Todo:improve synopsis]]~~

~~[[Category:Todo:add color name]]~~

~~[[Category:Todo:expand~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = minor minthmic fifth
-| Ratio = 182/121
+| Color name = 3o1uuz6, tholuluzo 6th
-| Monzo = 1 0 0 1 -2 1
+| Sound = Ji-182-121-csound-foscil-220hz.mp3
-| Cents = 706.71768
-| Name =  tridecimal gentle fifth
-| Color name =
-| Sound = Ji-{{#regex:{{PAGENAME}}|/(\S+)\/(\S+)/|\1-\2}}-csound-foscil-220hz.mp3
 }}
-'''182/121''', 706.7177 cents, is the '''gentle fifth''', 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).
-Rather well approximated by the regular fifths in [[17edo]].
+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.
-Also incredibly close to another gentle fifth, [[176/117]], 706.8803 cents, found between 13/16 and [[11/9]] (11/9 * [[16/13]] = 176/117).
+== Approximation ==
+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 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 ==
+* [[Gallery of just intervals]]
-[[Category:13-limit]]
-[[Category:Just_interval]]
 [[Category:Fifth]]
-[[Category:Gentle]]
+[[Category:Minor minthmic]]
-[[Category:Todo:improve synopsis]]
-[[Category:Todo:add color name]]
-[[Category:Todo:expand]]