24/19: Difference between revisions

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'''24/19'''
{{Infobox Interval
|3 1 0 0 0 0 0 -1>
| Name = small undevicesimal major third, Boethius' major third
| Color name = 19u3, inu 3rd
| Sound = jid_24_19_pluck_adu_dr220.mp3
}}


404.442 cents
'''24/19''', the '''small undevicesimal major third''' or '''Boethius' major third''', is a [[19-limit]] interval that is very close to the major third of [[12edo]] (400 cents). It is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the Pythagorean major third ([[81/64]]).


[[File:jid_24_19_pluck_adu_dr220.mp3]] [[:File:jid_24_19_pluck_adu_dr220.mp3|sound sample]]     [[Category:todo:expand]]
== See also ==
* [[19/12]] – its [[octave complement]]
* [[19/16]] – its [[fifth complement]]
* [[19/15]] – the large undevicesimal major third
* [[Gallery of just intervals]]
 
[[Category:Third]]
[[Category:Major third]]
[[Category:Boethius]]
[[Category:Todo:expand]]

Latest revision as of 11:50, 25 October 2022

Interval information
Ratio 24/19
Subgroup monzo 2.3.19 [3 1 -1
Size in cents 404.442¢
Names small undevicesimal major third,
Boethius' major third
Color name 19u3, inu 3rd
FJS name [math]\displaystyle{ \text{M3}_{19} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.83289
Weil height (log2 max(n, d)) 9.16993
Wilson height (sopfr(nd)) 28

[sound info]
Open this interval in xen-calc

24/19, the small undevicesimal major third or Boethius' major third, is a 19-limit interval that is very close to the major third of 12edo (400 cents). It is an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major third (81/64).

See also