31/16: Difference between revisions

In 31-limit just intonation, 31/16 is either the tricesimoprimal ultramajor seventh or tricesimoprimal semidiminished octave, which is also the octave-reduced 31st harmonic. It is sharp of the Pythagorean major seventh (243/128) by 248/243, and flat of the octave by 32/31.

Approximation

31/16 is very well approximated by 22edo, with 21\22 being 0.4 ¢ sharp of 31/16.

@@ Line 1: / Line 1: @@
-'''31/16'''
+{{Infobox Interval
-|-4 0 0 0 0 0 0 0 0 0 1&gt;
+| Name = tricesimoprimal ultramajor seventh, tricesimoprimal semidiminished octave, octave-reduced 31st harmonic
+| Color name = 31o7, thiwo 7th
+| Sound = jid_31_16_pluck_adu_dr220.mp3
+}}
-.0356 cents
+In [[31-limit]] [[just intonation]], '''31/16''' is either the '''tricesimoprimal ultramajor seventh''' or '''tricesimoprimal semidiminished octave''', which is also the [[octave reduction|octave-reduced]] [[31/1|31st]] [[harmonic]]. It is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[248/243]], and flat of the octave by [[32/31]].
-[[File:jid_31_16_pluck_adu_dr220.mp3]] [[:File:jid_31_16_pluck_adu_dr220.mp3|sound sample]]
+== Approximation ==
+/16 is very well approximated by [[22edo]], with 21\22 being 0.4 [[Cent|¢]] sharp of 31/16.
-The 31st harmonic, octave-reduced.
+== See also ==
-[[Category:todo:expand]]
+* [[32/31]] – its [[octave complement]]
+* [[48/31]] – its [[twelfth complement]]
+[[Category:Seventh]]
+[[Category:Supermajor seventh]]
+[[Category:Octave]]
+[[Category:Suboctave]]