36/19: Difference between revisions

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'''36/19'''
{{Infobox Interval
|2 2 0 0 0 0 0 -1>
| Name = undevicesimal major seventh, Boethius' major seventh
| Color name = 19u7, inu 7th
| Sound = jid_36_19_pluck_adu_dr220.mp3
}}


1106.397 cents
In [[19-limit]] [[just intonation]], '''36/19''' is the '''undevicesimal major seventh''' or '''Boethius' major seventh''', measuring about 1106.4¢. It is flat of the [[243/128|Pythagorean major seventh (243/128)]] by [[513/512]], the ''undevicesimal comma'' aka ''Boethius' comma''.


[[File:jid_36_19_pluck_adu_dr220.mp3]] [[:File:jid_36_19_pluck_adu_dr220.mp3|sound sample]]     [[Category:todo:expand]]
== See also ==
* [[19/18]] – its [[octave complement]], the large undevicesimal semitone
* [[19/10]] – the undevicesimal diminished octave
* [[Gallery of just intervals]]
 
[[Category:Seventh]]
[[Category:Major seventh]]
[[Category:Boethius]]

Latest revision as of 15:29, 25 October 2022

Interval information
Ratio 36/19
Subgroup monzo 2.3.19 [2 2 -1⟩
Size in cents 1106.397¢
Names undevicesimal major seventh,
Boethius' major seventh
Color name 19u7, inu 7th
FJS name [math]\displaystyle{ \text{M7}_{19} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.41785
Weil height (log2 max(n, d)) 10.3399
Wilson height (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

In 19-limit just intonation, 36/19 is the undevicesimal major seventh or Boethius' major seventh, measuring about 1106.4¢. It is flat of the Pythagorean major seventh (243/128) by 513/512, the undevicesimal comma aka Boethius' comma.

See also

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