36/17
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36/17 |2 2 0 0 0 0 -1>
1298.9545922304 cents
File:Jid 17 12 pluck adu dr220.mp3 sound sample
In 17-limit Just Intonation, 17/12 is the "second septendecimal diminished ninth" measuring very nearly 1299¢. Its inversion is the "second 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.
36/17 is the mediant between the two diminished ninths 17/8 and 15/7.