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 15:55, 25 October 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).

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 45/32
+| Name = smaller pental tritone, smaller diatonic tritone
-| Monzo = -5 2 1
-| Cents = 590.22372
-| Name = smaller pental tritone, <br>smaller diatonic tritone
 | Color name = y4, yo 4th
-| FJS name = A4<sup>5</sup>
 | Sound = jid_45_32_pluck_adu_dr220.mp3
 }}
@@ Line 15: / Line 11: @@
 * [[16/15]] – its [[fifth complement]]
-[[Category:5-limit]]
 [[Category:Tritone]]
-[[Category:Octave-reduced harmonics]]
 [[Category:Meantone]]
 {{todo|expand}}