20/19: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Name = small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone

~~| Ratio = 20/19~~

| Comma = yes

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

~~| Cents = 88.80070~~

| Name = small undevicesimal semitone ~~ ~~undevicesimal chroma ~~ ~~Eratosthenes' semitone

| Color name = 19uy1, nuyo unison

~~| FJS name = A1519~~

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

}}

In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8¢. It is flat of the [[256/243|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.

In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8{{cent}}. It is flat of the [[256/243|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.

It is almost exactly 1/3 of a subminor third of [[7/6]]. The small comma (7/6)/(20/19)3 = 48013/48000 is tempered out in {{EDOs| 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.

It is very close to 2 steps out of [[27edo]], or 88.8889 ~~cents~~.

It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.

== See also ==

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* [[88cET]]

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

~~[[Category:Interval ratio]]~~

[[Category:Semitone]]

[[Category:Chroma]]

~~[[Category:Superparticular]]~~

[[Category:Eratosthenes]]

[[Category:Commas named after polymaths]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
+| Name = small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
-| Ratio = 20/19
+| Comma = yes
-| Monzo = 2 0 1 0 0 0 0 -1
-| Cents = 88.80070
-| Name = small undevicesimal semitone <br>undevicesimal chroma <br>Eratosthenes' semitone
 | Color name = 19uy1, nuyo unison
-| FJS name = A1<sup>5</sup><sub>19</sub>
 | Sound = Ji-20-19-csound-foscil-220hz.mp3
 }}
-In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8¢. It is flat of the [[256/243|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.
+In [[19-limit]] [[just intonation]], '''20/19''' is the '''small undevicesimal semitone''' or '''Eratosthenes' semitone''', measuring about 88.8{{cent}}. It is flat of the [[256/243|Pythagorean limma (256/243)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.
 It is almost exactly 1/3 of a subminor third of [[7/6]]. The small comma (7/6)/(20/19)<sup>3</sup> = 48013/48000 is tempered out in {{EDOs| 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.
-It is very close to 2 steps out of [[27edo]], or 88.8889 cents.
+It is very close to 2 steps out of [[27edo]], or 88.8889{{cent}}.
 == See also ==
@@ Line 23: / Line 19: @@
 * [[88cET]]
-[[Category:19-limit]]
-[[Category:Interval ratio]]
 [[Category:Semitone]]
 [[Category:Chroma]]
-[[Category:Superparticular]]
 [[Category:Eratosthenes]]
+[[Category:Commas named after polymaths]]
+[[Category:Commas named after their interval size]]