19/17
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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 (log_{2} nd) | 8.33539 |
Weil height (log_{2} max(n, d)) | 8.49586 |
Wilson height (sopfr (nd)) | 36 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.55822 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
- 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