20/19: Difference between revisions

Line 5:

| Cents = 88.80070

| Name = small undevicesimal semitone <br>small undevicesimal limma <br>undevicesimal augmented unison

| Sound = ~~jid_20_19_pluck_adu_dr220~~.mp3

| Sound = Ji-20-19-csound-foscil-220hz.mp3

| Color name = 19uy1, nuyo unison

}}

In [[19-limit]] [[~~Just Intonation~~]], '''20/19''' is the "small undevicesimal semitone," measuring about 88.8¢ (almost exactly 1/3 of a subminor third of 7/6). Its [[octave complement]] is [[19/10]], the "undevicesimal diminished octave".

In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''', measuring about 88.8¢ (almost exactly 1/3 of a subminor third of [[7/6]]). Its [[octave complement]] is [[19/10]], the "undevicesimal diminished octave".

The small comma (7/6)/(20/19)^3 = 48013/48000 is tempered out in 12, 41, 53, 68, 80, 94, 121, 161, 190, 202, 217, 229, 243, 270, 282, 311, 323, 364, 460, 472, 513, 525, 540, 581, 742, 783, 795, 1012, 1053, 1106, 1308, 1323, 1578, 1848, 1889, and 2320 EDOs, leading to a variety of temperaments in which three semitones make up a subminor third.

Line 15:

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.

==See also==

== See also ==

* [[Gallery of just intervals]]

* [[19/18]] - greater undevicesimal semitone

* [[21/20]]

* [[88cET]]

[[Category:Interval]]

[[Category:19-limit]]

[[Category:Interval ratio]]

[[Category:Semitone]]

[[Category:Superparticular]]

@@ Line 5: / Line 5: @@
 | Cents = 88.80070
 | Name = small undevicesimal semitone <br>small undevicesimal limma <br>undevicesimal augmented unison
-| Sound = jid_20_19_pluck_adu_dr220.mp3
+| Sound = Ji-20-19-csound-foscil-220hz.mp3
 | Color name = 19uy1, nuyo unison
 }}
-In [[19-limit]] [[Just Intonation]], '''20/19''' is the "small undevicesimal semitone," measuring about 88.8¢ (almost exactly 1/3 of a subminor third of 7/6). Its [[octave complement]] is [[19/10]], the "undevicesimal diminished octave".
+In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''', measuring about 88.8¢ (almost exactly 1/3 of a subminor third of [[7/6]]). Its [[octave complement]] is [[19/10]], the "undevicesimal diminished octave".
 The small comma (7/6)/(20/19)^3 = 48013/48000 is tempered out in 12, 41, 53, 68, 80, 94, 121, 161, 190, 202, 217, 229, 243, 270, 282, 311, 323, 364, 460, 472, 513, 525, 540, 581, 742, 783, 795, 1012, 1053, 1106, 1308, 1323, 1578, 1848, 1889, and 2320 EDOs, leading to a variety of temperaments in which three semitones make up a subminor third.
@@ Line 15: / Line 15: @@
 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.
-==See also==
+== See also ==
+* [[Gallery of just intervals]]
 * [[19/18]] - greater undevicesimal semitone
+* [[21/20]]
 * [[88cET]]
-[[Category:Interval]]
+[[Category:19-limit]]
+[[Category:Interval ratio]]
+[[Category:Semitone]]
+[[Category:Superparticular]]