45/32: Difference between revisions

@@ Line 1: / Line 1: @@
-'''45/32'''
+{{Infobox Interval
-|-5 2 1&gt;
+| Name = smaller pental tritone, smaller diatonic tritone, ptolemaic augmented fourth
+| Color name = y4, yo 4th
+| Sound = jid_45_32_pluck_adu_dr220.mp3
+}}
-.2237 cents
+'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]- specifically, it is the '''ptolemaic augmented fourth'''. It is a [[syntonic comma]] away from the Pythagorean augmented fourth [[729/512]], which means it is justly tuned in [[1/6 syntonic comma meantone]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).
-[[File:jid_45_32_pluck_adu_dr220.mp3]] [[:File:jid_45_32_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[64/45]] – its [[octave complement]]
+* [[16/15]] – its [[fifth complement]]
-The diatonic [[tritone|tritone]] of [[5-limit|5-limit]] [[Just_intonation|Just Intonation]].  It is separated from its inversion of [[64/45|64/45]] by the [[diaschisma|diaschisma]], 2048/2025 (less than 20 cents).
+[[Category:Tritone]]
-[[Category:todo:expand]]
+[[Category:Meantone]]
+{{todo|expand}}