64/45: Difference between revisions

Interval information
Ratio	64/45
Factorization	26 × 3-2 × 5-1
Monzo	[6 -2 -1⟩
Size in cents	609.7763¢
Names	larger pental tritone,; larger diatonic tritone,; ptolemaic diminished fifth
Color name	g5, gu 5th
FJS name	[math]\displaystyle{ \text{d5}_{5} }[/math]
Special properties	reduced,; reduced subharmonic
Tenney norm (log2 nd)	11.4919
Weil norm (log2 max(n, d))	12
Wilson norm (sopfr(nd))	23
	https://en.xen.wiki/w/File:Jid_64_45_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

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Latest revision as of 07:41, 3 January 2025

64/45 is the larger pental tritone, a diatonic tritone of 5-limit just intonation — specifically, it is the ptolemaic diminished fifth. It is separated from its inversion of 45/32 by the diaschisma, 2048/2025 (c. 19.6 cents).

@@ Line 1: / Line 1: @@
-'''64/45'''
+{{Infobox Interval
-|6 -2 -1&gt;
+| Name = larger pental tritone, larger diatonic tritone, ptolemaic diminished fifth
+| Color name = g5, gu 5th
+| Sound = jid_64_45_pluck_adu_dr220.mp3
+}}
-.7763 cents
+'''64/45''' is the '''larger pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]] — specifically, it is the '''ptolemaic diminished fifth'''. It is separated from its inversion of [[45/32]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).
-[[File:jid_64_45_pluck_adu_dr220.mp3]] [[:File:jid_64_45_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[45/32]] – its [[octave complement]]
+* [[135/128]] – its [[fifth complement]]
-The 2nd diatonic [[tritone|tritone]] of [[5-limit|5-limit]] [[Just_intonation|Just Intonation]].  It is separated from its inversion of [[45/32|45/32]] by the [[diaschisma|diaschisma]], 2048/2025 (less than 20 cents).
+[[Category:Tritone]]
-[[Category:todo:expand]]

64/45: Difference between revisions

Latest revision as of 07:41, 3 January 2025

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