32/21: Difference between revisions

Interval information
Ratio	32/21
Factorization	25 × 3-1 × 7-1
Monzo	[5 -1 0 -1⟩
Size in cents	729.2191¢
Names	super-fifth,; wide fifth,; diminished sixth,; octave-reduced 21st subharmonic
Color name	r5, ru 5th
FJS name	[math]\displaystyle{ \text{P5}_{7} }[/math]
Special properties	reduced,; reduced subharmonic
Tenney norm (log2 nd)	9.39232
Weil norm (log2 max(n, d))	10
Wilson norm (sopfr(nd))	20
	https://en.xen.wiki/w/File:Jid_32_21_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

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Revision as of 23:41, 24 October 2018

32/21, the septimal super-fifth, is the interval between 9/8 and 12/7. It is 64/63 sharp of 3/2, and so is equated to 3/2 in temperaments such as pajara, superpyth or augene which tempers out 64/63.

@@ Line 1: / Line 1: @@
-'''32/21'''
+{{Infobox Interval
-|5 -1 0 -1&gt;
+| Icon =
+| Ratio = 32/21
+| Monzo = 5 -1 0 -1
+| Cents = 729.21909
+| Name = super-fifth, <br/> wide fifth, <br/> diminished sixth, <br/> octave-reduced 21st subharmonic
+| Color name = r5, ru 5th
+| Sound = jid_32_21_pluck_adu_dr220.mp3
+}}
-.2191 cents
+'''32/21''', the '''septimal super-fifth''', is the interval between [[9/8]] and [[12/7]]. It is [[64/63]] sharp of [[3/2]], and so is equated to 3/2 in temperaments such as [[pajara]], [[superpyth]] or [[augene]] which tempers out 64/63.
-[[File:jid_32_21_pluck_adu_dr220.mp3]] [[:File:jid_32_21_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of just intervals]]
+* [[21/16]] its [[inverse interval]]
-/21, the septimal super-fifth, is the interval between [[9/8|9/8]] and [[12/7|12/7]]. It is [[64/63|64/63]] sharp of [[3/2|3/2]], and so is equated to 3/2 in temperaments such as [[pajara|pajara]], [[Superpyth|superpyth]] or [[Augene|augene]] which temper 64/63 out.
+[[Category:Fifth]]
+[[Category:7-limit]]
+[[Category:Interval]]
+[[Category:Ratio]]

32/21: Difference between revisions

Revision as of 23:41, 24 October 2018

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