# 17/12

 Ratio 17/12 Subgroup monzo 2.3.17 [-2 -1 1⟩ Size in cents 603.00041¢ Name larger septendecimal tritone Color name 17o5, iso 5th FJS name $\text{d5}^{17}$ Special properties reduced Tenney height (log2 nd) 7.67243 Weil height (log2 max(n, d)) 8.17493 Wilson height (sopfr (nd)) 24 Harmonic entropy(Shannon, $\sqrt{nd}$) ~4.23204 bits https://en.xen.wiki/w/File:Jid_17_12_pluck_adu_dr220.mp3[sound info] open this interval in xen-calc

In 17-limit just intonation, 17/12 is the large septendecimal tritone, measuring very nearly 603¢. Its inversion is the smaller 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.

## Terminology and notation

Conceptualization systems disagree on whether 17/16 should be a diatonic semitone or a chromatic semitone, and as a result the disagreement propagates to all intervals of HC17. See 17-limit for a detailed discussion.

For 17/12 specifically:

The term large septendecimal tritone omits the distinction and only describes its melodic property i.e. the size. It is said in contrast to the small septendecimal tritone of 24/17.