125/72: Difference between revisions

@@ Line 1: / Line 1: @@
-'''125/72'''
+{{Infobox Interval
-|-3 -2 3&gt;
+| Name = classic(al) augmented sixth, triptolemaic augmented sixth
+| Color name = y<sup>3</sup>6, triyo 6th
+| Sound = jid_125_72_pluck_adu_dr220.mp3
+}}
+'''125/72''', the '''classic augmented sixth''' is [[5-limit]] just interval of about 955{{cent}}. It can be obtained by widening [[5/3]], the classic major sixth, by [[25/24]], the classic chroma. It is also the Pythagorean augmented sixth (59049/32768) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.
-.0311 cents
+In any [[kleismic]] system, it is tuned to an exact semitwelfth, tempered together with [[216/125]].
-[[File:jid_125_72_pluck_adu_dr220.mp3]] [[:File:jid_125_72_pluck_adu_dr220.mp3|sound sample]]
+== Approximation ==
+This interval is especially close to the 39th step of [[49edo]].
-The classic ([[5-limit|5-limit]]) augmented sixth.
+== See also ==
-[[Category:neutral_seventh]]
+* [[144/125]] – its [[octave complement]]
-[[Category:todo:expand]]
+* [[Gallery of just intervals]]
+[[Category:Sixth]]
+[[Category:Augmented sixth]]
+[[Category:Interseptimal intervals]]
+[[Category:Semitwelfth]]