32/27: Difference between revisions

Interval information
Ratio	32/27
Factorization	25 × 3-3
Monzo	[5 -3⟩
Size in cents	294.135¢
Name	Pythagorean minor third
Color name	w3,; wa 3rd
FJS name	[math]\displaystyle{ \text{m3} }[/math]
Special properties	reduced,; reduced subharmonic
Tenney norm (log2 nd)	9.75489
Weil norm (log2 max(n, d))	10
Wilson norm (sopfr(nd))	19
	https://en.xen.wiki/w/File:Jid_32_27_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

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Revision as of 16:51, 23 October 2018

The Pythagorean minor third of 32/27 is the interval between 9/8 and 4/3 which arises naturally in 3-limit just intonation. It is 352/351 sharp of 13/11, and tempering 352/351 out equates it with 13/11 and leads to minthmic chords.

@@ Line 1: / Line 1: @@
-'''32/27'''
+{{Infobox Interval
-|5 -3&gt;
+| Icon =
+| Ratio = 32/27
+| Monzo = 5 -3
+| Cents = 294.13500
+| Name = Pythagorean minor third
+| Color name = w3,<br/> wa 3rd
+| Sound = jid_32_27_pluck_adu_dr220.mp3
+}}
-.135 cents
+The '''Pythagorean minor third''' of '''32/27''' is the interval between [[9/8]] and [[4/3]] which arises naturally in [[3-limit]] just intonation. It is 352/351 sharp of [[13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic chords]].
-[[File:jid_32_27_pluck_adu_dr220.mp3]] [[:File:jid_32_27_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[Gallery of Just Intervals]]
+* [[27/16]] - its [[octave complement]]
-The Pythagorean minor third of 32/27 is the interval between [[9/8|9/8]] and [[4/3|4/3]] which arises naturally in 3-limit just intonation. It is 352/351 sharp of [[13/11|13/11]], and tempering 352/351 out equates it with 13/11 and leads to [[minthmic_chords|minthmic chords]].
+[[Category:Pythagorean]]
+[[Category:3-limit]]
+[[Category:Interval]]
+[[Category:Third]]
+[[Category:Ratio]]
+[[Category:todo:expand]]

32/27: Difference between revisions

Revision as of 16:51, 23 October 2018

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