24/19: Difference between revisions

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m recat
Expand by analogy of large undevicesimal major third
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| Monzo = 3 1 0 0 0 0 0 -1
| Monzo = 3 1 0 0 0 0 0 -1
| Cents = 404.44198
| Cents = 404.44198
| Name = lesser undevicesimal major third
| Name = small undevicesimal major third, <br>Boethius' major third
| Color name = 19u3, inu 3rd
| Color name = 19u3, inu 3rd
| FJS name = M3<sub>19</sub>
| Sound = jid_24_19_pluck_adu_dr220.mp3
| Sound = jid_24_19_pluck_adu_dr220.mp3
}}
}}
'''24/19''', the '''small undevicesimal major third''' or '''Boethius' major third''', is an ''undevicesimal comma'' aka ''Boethius' comma'' ([[513/512]]) below the [[81/64|Pythagorean major third]].


== See also ==
== See also ==
 
* [[19/12]] its [[octave complement]]
* [[19/12]] -- its [[octave complement]]
* [[19/16]] its [[fifth complement]]
* [[19/16]] -- its [[fifth complement]]
* [[19/15]] the large undevicesimal major third
* [[19/15]] -- the greater undevicesimal major third
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[19-odd-limit]]


[[Category:19-limit]]
[[Category:19-limit]]
[[Category:Interval ratio]]
[[Category:Interval]]
[[Category:Major third]]
[[Category:Major third]]
[[Category:Third]]
[[Category:Third]]
[[Category:Listen]]
[[Category:Listen]]


[[Category:Todo:add introduction]]
[[Category:Todo:expand]]
[[Category:Todo:expand]]

Revision as of 13:05, 5 February 2021

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 an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major third.

See also