19/17: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 19/17

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

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'''19/17''' is a JI interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.

19/17 is the [[mediant]] of 9/8 and 10/9: (9+10)/(8+9)=19/17.

19/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.

== See also ==

* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))

* [[15/14]] – its coordinated semi-meantone ((19/17)^5 * (15/14)^2 = (2/1) / ([[mercurial comma]]))

* [[34/19]] – its [[inverse interval]]

* [[Gallery of just intervals]]

[[Category:19-limit]]

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

[[Category:Second]]

[[Category:Whole tone]]

~~[[Category:Just interval]]~~

[[Category:Meantone]]

~~[[Category:Listen]]~~

[[Category:Mercurial]]

[[Category:Pages with internal sound examples]]

[[Category:~~todo:expand~~]]

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 {{Infobox Interval
-| Icon =
 | Ratio = 19/17
 | Monzo = 0 0 0 0 0 0 -1 1
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 '''19/17''' is a JI interval intermediate in size to [[9/8]] and [[10/9]], two common sizes of whole tone. In [[meantone]] systems, the two are conflated into one interval, for which 19/17 is often a good rational approximation, depending on the exact meantone tuning. It is a particularly good rational approximation to the whole tone of quarter comma meantone, as two of them fall short of a perfect [[5/4]] by [[1445/1444]], or 1.1985 cents. 19/17 is also very close to the size of the whole tone in golden meantone, being only about a tenth of a cent off.
-/17 is the [[mediant]] of 9/8 and 10/9: (9+10)/(8+9)=19/17.
+/17 is the [[mediant]] of 9/8 and 10/9: (9 + 10)/(8 + 9) = 19/17.
 == See also ==
+* [[15/14]] – its coordinated semi-meantone ((19/17)<sup>5</sup> × (15/14)<sup>2</sup> = (2/1) / ([[mercurial comma]]))
-* [[15/14]] – its coordinated semi-meantone ((19/17)^5 * (15/14)^2 = (2/1) / ([[mercurial comma]]))
 * [[34/19]] – its [[inverse interval]]
 * [[Gallery of just intervals]]
 [[Category:19-limit]]
-[[Category:Interval ratio]]
 [[Category:Second]]
 [[Category:Whole tone]]
-[[Category:Just interval]]
 [[Category:Meantone]]
-[[Category:Listen]]
 [[Category:Mercurial]]
+[[Category:Pages with internal sound examples]]
-[[Category:todo:expand]]