144/125: Difference between revisions

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{{Infobox Interval

~~| Ratio = 144/125~~

| Name = classic(al) diminished third, triptolemaic diminished third

~~| Monzo = 4 2 -3~~

| Color name = g<sup>3</sup>3, trigu 3rd

~~| Cents = 244.96886~~

| Name = classic diminished third

| Color name =

~~| FJS name = d3~~<~~sub~~>~~125~~</~~sub~~>

| Sound = jid_144_125_pluck_adu_dr220.mp3

}}

'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. ~~In any~~ [[~~kleismic~~]] ~~system~~, ~~it is tuned~~ to ~~an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma~~.

'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.

== Approximation ==

This interval is especially close to the 10th step of [[49edo]].

== Temperaments ==

In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university]] temperament treats it as a [[comma]].

== See also ==

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* [[Gallery of just intervals]]

~~[[Category:5-limit]]~~

~~[[Category:Interval ratio]]~~

[[Category:Third]]

[[Category:Diminished third]]

[[Category:Interseptimal]]

[[Category:Interseptimal intervals]]

[[Category:Semifourth]]

~~[[Category:Large comma]]~~

[[Category:University]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 144/125
+| Name = classic(al) diminished third, triptolemaic diminished third
-| Monzo = 4 2 -3
+| Color name = g<sup>3</sup>3, trigu 3rd
-| Cents = 244.96886
-| Name = classic diminished third
-| Color name =
-| FJS name = d3<sub>125</sub>
 | Sound = jid_144_125_pluck_adu_dr220.mp3
 }}
-'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university temperament]] treats it as a comma.
+'''144/125''', the '''classic diminished third''', about 245 [[cent]]s in size, is a just interval in the [[5-limit]]. It can be obtained by subtracting [[6/5]], the classic minor third, by [[25/24]], the classic chroma. It is also the Pythagorean diminished third (65536/59049) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.
 == Approximation ==
 This interval is especially close to the 10th step of [[49edo]].
+== Temperaments ==
+In any [[kleismic]] system, it is tuned to an exact semifourth, tempered together with [[125/108]]. The [[university]] temperament treats it as a [[comma]].
 == See also ==
@@ Line 19: / Line 18: @@
 * [[Gallery of just intervals]]
-[[Category:5-limit]]
-[[Category:Interval ratio]]
 [[Category:Third]]
 [[Category:Diminished third]]
-[[Category:Interseptimal]]
+[[Category:Interseptimal intervals]]
 [[Category:Semifourth]]
-[[Category:Large comma]]
 [[Category:University]]