29/16: Difference between revisions

@@ Line 1: / Line 1: @@
-'''29/16'''
+{{Infobox Interval
-|-4 0 0 0 0 0 0 0 0 1&gt;
+| Name = vicesimononal supraminor seventh, octave-reduced 29th harmonic
+| Color name = 29o7, tweno 7th
+| Sound = jid_29_16_pluck_adu_dr220.mp3
+}}
+In [[29-limit]] [[just intonation]], '''29/16''' is the '''vicesimononal supraminor seventh''', which is also the [[octave reduction|octave-reduced]] 29th [[harmonic]]. It is sharp of the [[16/9|Pythagorean minor seventh (16/9)]] by [[261/256]] (~33{{cent}}), and sharp of the [[9/5|classic minor seventh (9/5)]] by [[145/144]] (~12{{cent}}).
-.5772 cents
+== Approximation ==
+This interval is very accurately approximated by [[7edo]] (6\7). It is approximately a cent away from it, the difference being the [[jackpot comma]], 17249876309/17179869184.
-[[File:jid_29_16_pluck_adu_dr220.mp3]] [[:File:jid_29_16_pluck_adu_dr220.mp3|sound sample]]
+== See also ==
+* [[32/29]] – its [[octave complement]]
+* [[48/29]] – its [[twelfth complement]]
-The 29th harmonic, octave-reduced.
+[[Category:Seventh]]
-[[Category:todo:expand]]
+[[Category:Minor seventh]]
+[[Category:Equable heptatonic]]