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19/18: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = large undevicesimal semitone, undevicesimal limma, Boethius' semitone
| Ratio = 19/18
| Comma = yes
| Monzo = -1 -2 0 0 0 0 0 1
| Cents = 93.60301
| Name = greater undevicesimal semitone <br>greater undevicesimal limma <br>undevicesimal minor second
| Sound = jid_19_18_pluck_adu_dr220.mp3
| Color name = 19o2, ino 2nd
| Color name = 19o2, ino 2nd
| Sound = Ji-19-18-csound-foscil-220hz.mp3
}}
}}


In [[19-limit]] [[Just Intonation]], '''19/18''' is the "greater undevicesimal semitone," measuring about 93.6¢. Its [[octave complement]] is [[36/19]], the "undevicesimal major seventh".
In [[19-limit]] [[just intonation]], '''19/18''' is the '''large undevicesimal semitone''' or '''Boethius' semitone''', measuring about 93.6¢. It is sharp of the [[256/243|Pythagorean limma (256/243)]] by [[513/512]], the ''undevicesimal comma'' aka ''Boethius' comma''.  


The password comma, (256/243)/(20/19) = (19/18)/(135/128) = 1216/1215 is tempered out in 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692 EDOs, leading to a variety of temperaments which identifies small undevicesimal semitone with [[256/243|Pythagorean limma]] and greater undevicesimal semitone with [[135/128|major limma]] respectively.
The small comma ([[39/35]])/(19/18)<sup>2</sup> = [[12636/12635]] is tempered out in {{EDOs| 53, 130, 140, 243, 270, 422, 513, 665, 742, 795, 935, 1065, 1178, 1205, 1308, 1395, 1448, 1578, 2000, 2190, 2243, 2460, 3125, 3178, 3395, and 4703 EDOs}}.
== Approximation ==
{{Interval edo approximation|19/18}}
== See also ==
* [[36/19]] – its [[octave complement]], the undevicesimal major seventh
* [[20/19]] – the small undevicesimal semitone
* [[Gallery of just intervals]]
* [[List of superparticular intervals]]


==See also==
[[Category:Semitone]]
*[[20/19]] - small undevicesimal semitone
[[Category:Second]]
 
[[Category:Boethius]]
[[Category:Intervals]]
[[Category:Commas named after polymaths]]
[[Category:Commas named after their interval size]]
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