19/18: Difference between revisions

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{{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 = large undevicesimal semitone ~~ large~~ undevicesimal limma ~~ undevicesimal minor second~~

| Color name = 19o2, ino 2nd

~~| FJS name = m219~~

| Sound = Ji-19-18-csound-foscil-220hz.mp3

}}

In [[19-limit]] [[just intonation]], '''19/18''' is the '''large undevicesimal semitone''', measuring about 93.6¢. It is sharp of the [[256/243|Pythagorean ~~minor second~~ (256/243)]] by [[513/512]], the ''undevicesimal comma'' aka ''Boethius' comma''.

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 small comma (39/35)/(19/18)2 = 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}}.

The small comma ([[39/35]])/(19/18)2 = [[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 ==

== See also ==

* [[36/19]] – its [[octave complement]], the undevicesimal major seventh.

* [[36/19]] – its [[octave complement]], the undevicesimal major seventh

* [[20/19]] – small undevicesimal semitone

* [[20/19]] – the small undevicesimal semitone

* [[Gallery of just intervals]]

* [[List of superparticular intervals]]

~~[[Category:19-limit]]~~

~~[[Category:Interval]]~~

[[Category:Semitone]]

[[Category:Second]]

[[Category:~~Minor second~~]]

[[Category:Boethius]]

[[Category:~~Listen~~]]

[[Category:Commas named after polymaths]]

[[Category:Commas named after their interval size]]

@@ Line 1: / Line 1: @@
 {{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 = large undevicesimal semitone <br>large undevicesimal limma <br>undevicesimal minor second
 | Color name = 19o2, ino 2nd
-| FJS name = m2<sup>19</sup>
 | Sound = Ji-19-18-csound-foscil-220hz.mp3
 }}
-In [[19-limit]] [[just intonation]], '''19/18''' is the '''large undevicesimal semitone''', measuring about 93.6¢. It is sharp of the [[256/243|Pythagorean minor second (256/243)]] by [[513/512]], the ''undevicesimal comma'' aka ''Boethius' comma''.
+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 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}}.
+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.
+* [[36/19]] – its [[octave complement]], the undevicesimal major seventh
-* [[20/19]] – small undevicesimal semitone
+* [[20/19]] – the small undevicesimal semitone
+* [[Gallery of just intervals]]
+* [[List of superparticular intervals]]
-[[Category:19-limit]]
-[[Category:Interval]]
 [[Category:Semitone]]
 [[Category:Second]]
-[[Category:Minor second]]
+[[Category:Boethius]]
-[[Category:Listen]]
+[[Category:Commas named after polymaths]]
+[[Category:Commas named after their interval size]]