81/64: Difference between revisions

Interval information
Ratio	81/64
Factorization	2-6 × 34
Monzo	[-6 4⟩
Size in cents	407.82¢
Name	Pythagorean major third
Color name	Lw3, large wa 3rd
FJS name	[math]\displaystyle{ \text{M3} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	12.3399
Weil norm (log2 max(n, d))	12.6797
Wilson norm (sopfr(nd))	24
	https://en.xen.wiki/w/File:Jid_81_64_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Revision as of 23:20, 1 November 2018

The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths (3/2), and reducing by two octaves.

@@ Line 1: / Line 1: @@
-'''81/64'''
+{{Infobox Interval
-|-6 4&gt;
+| Icon =
+| Ratio = 81/64
+| Monzo = -6 4
+| Cents = 407.82000
+| Name = Pythagorean major third
+| Color name = Lw3, large wa 3rd
+| Sound = jid_81_64_pluck_adu_dr220.mp3
+}}
-.8200 cents
+The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two octaves.
-[[File:jid_81_64_pluck_adu_dr220.mp3]] [[:File:jid_81_64_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[128/81]] - its [[inversion]]
+* [[Pythagorean tuning]]
+* [[Gallery of just intervals]]
-The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths ([[3/2|3/2]]), and reducing by two octaves.
+[[Category:3-limit]]
+[[Category:Interval]]
+[[Category:Ratio]]
+[[Category:Third]]
+[[Category:Major third]]
+[[Category:Pythagorean]]
-see also
-<ul><li>[[Pythagorean_tuning|Pythagorean tuning]]</li><li>[[Gallery_of_Just_Intervals|Gallery of Just Intervals]]</li></ul>      [[Category:major_third]]
-[[Category:pythagorean]]
 [[Category:todo:expand]]