17/12

Interval information

Ratio	17/12
Subgroup monzo	2.3.17 [-2 -1 1⟩
Size in cents	603.0004¢
Name	larger septendecimal tritone
FJS name	[math]\displaystyle{ \text{d5}^{17} }[/math]
Special properties	reduced
Tenney height (log2 nd)	7.67243
Weil height (log2 max(n, d))	8.17493
Wilson height (sopfr(nd))	24
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In 17-limit just intonation, 17/12 is the "larger septendecimal tritone", measuring very nearly 603¢. Its inversion is the "first septendecimal tritone," 24/17, and the interval that separates them is the small comma 289/288, about 6¢. This difference is usually negligible, and tempering out this comma allows the 600¢ half-octave to function as both septendecimal tritones. Thus, every even-numbered EDO system contains a close approximation to these intervals.

17/12 is the mediant between the two septimal tritones 7/5 and 10/7.

See also

• 24/17 – its octave complement
• 18/17 – its fifth complement
• Gallery of just intervals