19/16: Difference between revisions

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{{Infobox Interval
{{Infobox interval
| Icon =
| Name = otonal minor third, octave-reduced 19th harmonic  
| Ratio = 19/16
| Color name = 19o3, ino 3rd
| Monzo = 4 0 0 0 0 0 0 1
| Cents = 297.51302
| Name = otonal minor third, <br> octave-reduced 19th harmonic  
| Color name =  
| Sound = jid_19_16_pluck_adu_dr220.mp3
| Sound = jid_19_16_pluck_adu_dr220.mp3
}}
}}


'''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).
'''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]].
 
== Approximation ==
19/16 is very accurately approximated by [[121edo]] (30\121), although technically there is a slight difference, as that of 121edo is 0.007645 cents sharper.


== See also ==
== See also ==
 
* [[32/19]] its [[octave complement]]
* [[32/19]] -- its [[octave complement]]
* [[24/19]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:19-limit]]
[[Category:Third]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Third]]
[[Category:Boethius]]
[[Category:Listen]]
[[Category:Overtone]]
 
[[Category:Todo:expand]]