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Interval information
Ratio 19/17
Subgroup monzo 17.19 [-1 1
Size in cents 192.55761¢
Name quasi-meantone
Color name 19o17u2, nosu 2nd
FJS name [math]\text{M2}^{19}_{17}[/math]
Special properties reduced
Tenney height (log2 nd) 8.33539
Weil height (log2 max(n, d)) 8.49586
Wilson height (sopfr (nd)) 36
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.20442 bits

[sound info]
open this interval in xen-calc

19/17 is a 19-limit just intonation 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.

See also