26/17

Interval information

Ratio	26/17
Subgroup monzo	2.13.17 [1 1 -1⟩
Size in cents	735.5723¢
Name	septendecimal super-fifth
FJS name	[math]\displaystyle{ \text{P5}^{13}_{17} }[/math]
Special properties	reduced
Tenney height (log2 nd)	8.7879
Weil height (log2 max(n, d))	9.40088
Wilson height (sopfr(nd))	32
[sound info]
Open this interval in xen-calc

In 17-limit Just Intonation, 26/17 is the septendecimal super-fifth. It differs from a 3/2 perfect fifth by the comma 52/51, about 33.6¢. Although this difference is considerable, 26/17 may be used as a wide perfect fifth, thus allowing septendecimal versions of root-3rd-P5 chords – in particular, 17:20:26, 17:21:26, 17:22:26.

26/17 is the mediant of 3/2 and 23/15. Its octave complement is 17/13, the septendecimal sub-fourth.

See: Gallery of Just Intervals