19/12: Difference between revisions

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'''19/12'''
{{Infobox Interval
|-2 -1 0 0 0 0 0 1>
| Name = large undevicesimal minor sixth, Boethius' minor sixth
| Color name = 19o6, ino 6th
| Sound = jid_19_12_pluck_adu_dr220.mp3
}}


795.558 cents
'''19/12''', the '''large undevicesimal minor sixth''' or '''Boethius' minor sixth''', is a [[19-limit]] interval that is very close to the minor sixth of [[12edo]] (800 cents). It is an undevicesimal comma aka Boethius' comma (513/512) above the [[128/81|Pythagorean minor sixth]].  


[[File:jid_19_12_pluck_adu_dr220.mp3]] [[:File:jid_19_12_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[24/19]] – its [[octave complement]]
* [[30/19]] – the small undevicesimal minor sixth
* [[Gallery of just intervals]]


'''19/12''' is a [[19-limit|19-limit]] interval, about 795.6 [[cent|cents]] in size, that is very close to the minor sixth of [[12edo|12edo]] (800 cents). Interestingly, 19/12 * [[19/15|19/15]] = 361/180 (1204.8 cents), which is very close to an octave.
[[Category:Minor sixth]]
[[Category:19-limit]]
[[Category:Sixth]]
[[Category:just_interval]]
[[Category:Boethius]]
[[Category:minor_sixth]]

Latest revision as of 01:20, 4 December 2022

Interval information
Ratio 19/12
Subgroup monzo 2.3.19 [-2 -1 1⟩
Size in cents 795.558¢
Names large undevicesimal minor sixth,
Boethius' minor sixth
Color name 19o6, ino 6th
FJS name [math]\displaystyle{ \text{m6}^{19} }[/math]
Special properties reduced
Tenney height (log2 nd) 7.83289
Weil height (log2 max(n, d)) 8.49586
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

19/12, the large undevicesimal minor sixth or Boethius' minor sixth, is a 19-limit interval that is very close to the minor sixth of 12edo (800 cents). It is an undevicesimal comma aka Boethius' comma (513/512) above the Pythagorean minor sixth.

See also

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