19/16: Difference between revisions

@@ Line 1: / Line 1: @@
-'''19/16'''
+{{Infobox interval
-|4 0 0 0 0 0 0 1&gt;
+| Name = otonal minor third, octave-reduced 19th harmonic
+| Color name = 19o3, ino 3rd
+| Sound = jid_19_16_pluck_adu_dr220.mp3
+}}
-.513 cents
+'''19/16''' is a [[19-limit]] interval, 297.5 [[cent]]s in size, the '''otonal minor third''' or '''octave-reduced 19th harmonic''', which is extremely close to the minor third of [[12edo]] (300 cents). It is an ''undevicesimal schisma'' aka ''Boethius' comma'' ([[513/512]]) above the [[32/27|Pythagorean minor third]].
-[[File:jid_19_16_pluck_adu_dr220.mp3]] [[:File:jid_19_16_pluck_adu_dr220.mp3|sound sample]]
+== Approximation ==
+/16 is very accurately approximated by [[121edo]] (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper.
-'''19/16''' is a [[19-limit|19-limit]] interval, 297.5 [[cent|cent]]s in size.  It is the octave-reduced version of the 19th harmonic, and is extremely close to the minor third of [[12edo|12edo]] (300 cents).
+== See also ==
-[[Category:19-limit]]
+* [[32/19]] – its [[octave complement]]
-[[Category:just_interval]]
+* [[24/19]] – its [[fifth complement]]
-[[Category:minor_third]]
+* [[Gallery of just intervals]]
+[[Category:Third]]
+[[Category:Minor third]]
+[[Category:Boethius]]