19/10: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Name = undeviceismal diminished octave, Eratosthenes' major seventh

~~| Ratio = 19/10~~

| Color name = 19og8, nogu octave

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

~~| Cents = 1111.19930~~

| Name = undeviceismal diminished octave, ~~ ~~Eratosthenes' major seventh

| Color name =

~~| FJS name = d8195~~

| Sound = jid_19_10_pluck_adu_dr220.mp3

}}

In [[19-limit]] [[just intonation]], '''19/10''' is the '''undevicesimal diminished octave''', measuring about 1111.2¢. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished octave'', obtained by adding [[81/80]] and [[513/512]] to the [[4096/2187|Pythagorean diminished octave]], but it may be called the '''Eratosthenes' major seventh''' as it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.

In [[19-limit]] [[just intonation]], '''19/10''' is the '''undevicesimal diminished octave''', measuring about 1111.2¢. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished octave'', obtained by adding [[81/80]] and [[513/512]] to the [[4096/2187|Pythagorean diminished octave]], but it may be called the '''Eratosthenes' major seventh''' as it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.

== Approximation ==

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

~~[[Category:Interval]]~~

[[Category:Octave]]

[[Category:Diminished octave]]

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 {{Infobox Interval
-| JI glyph =
+| Name = undeviceismal diminished octave, Eratosthenes' major seventh
-| Ratio = 19/10
+| Color name = 19og8, nogu octave
-| Monzo = -1 0 -1 0 0 0 0 1
-| Cents = 1111.19930
-| Name = undeviceismal diminished octave, <br>Eratosthenes' major seventh
-| Color name =
-| FJS name = d8<sup>19</sup><sub>5</sub>
 | Sound = jid_19_10_pluck_adu_dr220.mp3
 }}
-In [[19-limit]] [[just intonation]], '''19/10''' is the '''undevicesimal diminished octave''', measuring about 1111.2¢. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished octave'', obtained by adding [[81/80]] and [[513/512]] to the [[4096/2187|Pythagorean diminished octave]], but it may be called the '''Eratosthenes' major seventh''' as it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.
+In [[19-limit]] [[just intonation]], '''19/10''' is the '''undevicesimal diminished octave''', measuring about 1111.2¢. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished octave'', obtained by adding [[81/80]] and [[513/512]] to the [[4096/2187|Pythagorean diminished octave]], but it may be called the '''Eratosthenes' major seventh''' as it is sharp of the [[243/128|Pythagorean major seventh (243/128)]] by [[1216/1215]], the ''password'' aka ''Eratosthenes' comma''.
+== Approximation ==
+{{Interval edo approximation|19/10}}
-[[Category:19-limit]]
-[[Category:Interval]]
 [[Category:Octave]]
 [[Category:Diminished octave]]