19/18: Difference between revisions

Line 4:

| Monzo = -1 -2 0 0 0 0 0 1

| Cents = 93.60301

| Name = ~~greater~~ undevicesimal semitone ~~greater~~ undevicesimal limma undevicesimal minor second

| 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 ~~"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''', 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''.

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}}.

~~The password comma, (256/243)/(20/19)~~ = ~~(19/18)/(135/128)~~ = 1216/1215 is tempered out in {{EDOs| 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~~.

== See also ==

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

~~==See also==~~

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

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

[[Category:19-limit]]

@@ Line 4: / Line 4: @@
 | Monzo = -1 -2 0 0 0 0 0 1
 | Cents = 93.60301
-| Name = greater undevicesimal semitone <br>greater undevicesimal limma <br>undevicesimal minor second
+| 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 "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''', 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''.
-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)<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 password comma, (256/243)/(20/19) = (19/18)/(135/128) = 1216/1215 is tempered out in {{EDOs| 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.
+== See also ==
+* [[36/19]] – its [[octave complement]], the undevicesimal major seventh.
-==See also==
+* [[20/19]] – small undevicesimal semitone
-* [[20/19]] - small undevicesimal semitone
 [[Category:19-limit]]