81/64: Difference between revisions

@@ Line 1: / Line 1: @@
-'''81/64'''
+{{Infobox Interval
-|-6 4&gt;
+| Name = Pythagorean major third, ditone
+| Color name = Lw3, lawa 3rd
+| Sound = jid_81_64_pluck_adu_dr220.mp3
+}}
+{{Wikipedia|Ditone}}
+The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more discordant on its own, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.
-.8200 cents
+== See also ==
+* [[128/81]] – its [[octave complement]]
+* [[32/27]] – its [[fifth complement]]
+* [[Gallery of just intervals]]
+* [[Pythagorean tuning]]
-[[File:jid_81_64_pluck_adu_dr220.mp3]] [[:File:jid_81_64_pluck_adu_dr220.mp3|sound sample]]
+[[Category:Third]]
+[[Category:Major third]]
-The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths ([[3/2|3/2]]), and reducing by two octaves.
-see also
-<ul><li>[[Pythagorean_tuning|Pythagorean tuning]]</li><li>[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]</li></ul>      [[Category:major_third]]
-[[Category:pythagorean]]
-[[Category:todo:expand]]