182/121: Difference between revisions

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{{Infobox Interval

| Name = minor minthmic fifth

| 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).

'''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 [[3/2|perfect fifth (3/2)]]. It is the stack of the [[14/11|pentacircle major third (14/11)]] and the [[13/11|major-minthmic minor third (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{{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).

It is also incredibly close to the [[176/117|major-minthmic fifth (176/117]], 706.8803{{cent}}), found as a stack of a [[16/13|tridecimal neutral third (16/13)]] and an [[11/9|undecimal neutral third (11/9)]]: ((11/9)⋅(16/13) = 176/117).

== See also ==

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = minor minthmic fifth
+| 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).
+'''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 [[3/2|perfect fifth (3/2)]]. It is the stack of the [[14/11|pentacircle major third (14/11)]] and the [[13/11|major-minthmic minor third (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{{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).
+It is also incredibly close to the [[176/117|major-minthmic fifth (176/117]], 706.8803{{cent}}), found as a stack of a [[16/13|tridecimal neutral third (16/13)]] and an [[11/9|undecimal neutral third (11/9)]]: ((11/9)⋅(16/13) = 176/117).
 == See also ==