19/17: Difference between revisions
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'''19/17''' is | '''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. | ||
Revision as of 17:16, 13 December 2021
| Interval information |
[sound info]
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.
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