144/125: Difference between revisions

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-'''144/125'''
+{{Infobox Interval
-|4 2 -3&gt;
+| Name = classic(al) diminished third, triptolemaic diminished third
+| Color name = g<sup>3</sup>3, trigu 3rd
+| Sound = jid_144_125_pluck_adu_dr220.mp3
+}}
-.9689 cents
+'''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''.
-[[File:jid_144_125_pluck_adu_dr220.mp3]] [[:File:jid_144_125_pluck_adu_dr220.mp3|sound sample]]
+== Approximation ==
+This interval is especially close to the 10th step of [[49edo]].
-The classic ([[5-limit|5-limit]]) diminished third.
+== Temperaments ==
-[[Category:todo:expand]]
+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 ==
+* [[125/72]] – its [[octave complement]]
+* [[125/96]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+[[Category:Third]]
+[[Category:Diminished third]]
+[[Category:Interseptimal intervals]]
+[[Category:Semifourth]]
+[[Category:University]]