24/17

Interval information

Ratio	24/17
Subgroup monzo	2.3.17 [3 1 -1⟩
Size in cents	596.9996¢
Name	smaller septendecimal tritone
FJS name	[math]\displaystyle{ \text{A4}_{17} }[/math]
Special properties	reduced
Tenney height (log2 nd)	8.67243
Weil height (log2 max(n, d))	9.16993
Wilson height (sopfr(nd))	26
[sound info]
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In 17-limit just intonation, 24/17 is the smaller septendecimal tritone, measuring very nearly 597¢. It is the mediant between 7/5 and 17/12, the "larger septendecimal tritone". The two septendecimal tritones are each 3¢ away from the 600¢ half-octave, and so they are well-represented in all even-numbered EDO systems, including 12edo. Indeed, the latter system, containing good approximations of the 3rd and 17th harmonics, can use the half-octave as 24/17 and 17/12 in close approximations to chords such as 8:12:17 and 16:17:24. 22edo is another good EDO system for using the half-octave in this way.

See also

• 17/12 – its octave complement
• 17/16 – its fifth complement
• Gallery of just intervals