19/17: Difference between revisions

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== See also ==
== See also ==


* [[34/19]] its [[inverse interval]]
* [[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]]
* [[Gallery of just intervals]]


[[Category:19-limit]]
[[Category:19-limit]]
[[Category:Interval]]
[[Category:Interval ratio]]
[[Category:Ratio]]
[[Category:Second]]
[[Category:Whole tone]]
[[Category:Just interval]]
[[Category:Just interval]]
[[Category:Meantone]]
[[Category:Meantone]]
[[Category:Sound example]]
[[Category:Listen]]


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

Revision as of 13:33, 27 September 2020

Interval information
Ratio 19/17
Subgroup monzo 17.19 [-1 1
Size in cents 192.5576¢
Name quasi-meantone
Color name 19o17u2, nosu 2nd
FJS name [math]\displaystyle{ \text{M2}^{19}_{17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.33539
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 36

[sound info]
Open this interval in xen-calc

19/17 is the interval between 9/8 and 10/9, two common sizes of whole tone. In meantone systems, the two are conflated into one interval, which converges increasingly closely to a perfect 19/17 in successive steps of the golden meantone sequence. Two of them fall short of a perfect 5/4 by 1445/1444, or 1.1985 cents.

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

See also