17/9

Interval information

Ratio	17/9
Subgroup monzo	3.17 [-2 1⟩
Size in cents	1101.045¢
Name	large septendecimal major seventh
Color name	17o8, iso octave
FJS name	[math]\displaystyle{ \text{d8}^{17} }[/math]
Special properties	reduced
Tenney height (log2 nd)	7.25739
Weil height (log2 max(n, d))	8.17493
Wilson height (sopfr(nd))	23
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In 17-limit just intonation, 17/9 is the large septendecimal major seventh, measuring about 1101¢. It is the mediant between 15/8 and 2/1. Its inversion is 18/17, the "small septendecimal semitone".

There exists a disagreement in different notation systems on whether 17/9 should be notated as a major seventh or a diminished octave. In the Functional Just System, it is a diminished octave, whereas in Helmholtz-Ellis notation, it is a major seventh.

See also

• 18/17 – its octave complement
• Gallery of Just Intervals