32/17

Interval information

Ratio	32/17
Subgroup monzo	2.17 [5 -1⟩
Size in cents	1095.045¢
Name	small septendecimal major seventh
Color name	17u7, su 7th
FJS name	[math]\displaystyle{ \text{M7}_{17} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	9.08746
Weil height (log2 max(n, d))	10
Wilson height (sopfr(nd))	27
[sound info]
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In 17-limit just intonation, 32/17 is the small septendecimal major seventh, as well as the 17th subharmonic octave-reduced. Measuring about 1095 ¢, it is the mediant between 15/8 and 17/9, the "large septendecimal major seventh". Its inversion is 17/16, the "large septendecimal semitone".

There exists a disagreement in different notation systems on whether 32/17 should be notated as a major seventh or a diminished octave. In the Functional Just System, it is a major seventh, whereas in Helmholtz-Ellis notation, it is a diminished octave.

See also

• 17/16 – its octave complement
• Gallery of just intervals