19/16: Difference between revisions

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'''19/16'''
{{Infobox Interval
|4 0 0 0 0 0 0 1>
| Name = otonal minor third, octave-reduced 19th harmonic
| Color name = 19o3, ino 3rd
| Sound = jid_19_16_pluck_adu_dr220.mp3
}}


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


'''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).
[[Category:Third]]
[[Category:19-limit]]
[[Category:Minor third]]
[[Category:just_interval]]
[[Category:Boethius]]
[[Category:minor_third]]

Latest revision as of 14:21, 25 October 2022

Interval information
Ratio 19/16
Subgroup monzo 2.19 [-4 1⟩
Size in cents 297.513¢
Names otonal minor third,
octave-reduced 19th harmonic
Color name 19o3, ino 3rd
FJS name [math]\displaystyle{ \text{m3}^{19} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 8.24793
Weil height (log2 max(n, d)) 8.49586
Wilson height (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

19/16 is a 19-limit interval, 297.5 cents 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 comma aka Boethius' comma (513/512) above the Pythagorean minor third.

See also

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