45/32: Difference between revisions

Interval information
Ratio	45/32
Factorization	2-5 × 32 × 5
Monzo	[-5 2 1⟩
Size in cents	590.2237¢
Names	smaller pental tritone,; smaller diatonic tritone
Color name	y4, yo 4th
FJS name	[math]\displaystyle{ \text{A4}^{5} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	10.4919
Weil norm (log2 max(n, d))	10.9837
Wilson norm (sopfr(nd))	21
	https://en.xen.wiki/w/File:Jid_45_32_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Revision as of 11:55, 26 August 2022

45/32 is the smaller pental tritone, a diatonic tritone of 5-limit just intonation. It is a syntonic comma away from the pythagorean tritone 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).

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-'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is separated from its inversion of [[64/45]] by the [[diaschisma]], 2048/2025 (''c''. 19.6 cents).
+'''45/32''' is the '''smaller pental [[tritone]]''', a ''diatonic tritone'' of [[5-limit]] [[just intonation]]. It is a [[syntonic comma]] away from the pythagorean tritone [[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).
 == See also ==
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 [[Category:Tritone]]
 [[Category:Octave-reduced harmonics]]
+[[Category:Meantone]]
 {{todo|expand}}