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In 17-limit Just Intonation, all ratios in the system will contain no primes higher than 17. The 17-limit adds to the 13-limit a "minor ninth" of about 105¢ -- 17/16 -- and several other intervals between the 17th overtone and the lower ones.

17-limit Intervals

Ratio
Cents Value
Name
18/17
98.955
small septendecimal semitone
17/16
104.955
large septendecimal semitone
17/15
216.687
septendecimal whole tone
20/17
281.358
septendecimal minor third
17/14
336.130
septendecimal supraminor third
21/17
365.825
septendecimal submajor third
22/17
446.363
septendecimal supermajor third
17/13
464.428
septendecimal sub-fourth
24/17
597.000
1st septendecimal tritone
17/12
603.000
2nd septendecimal tritone
26/17
735.572
septendecimal super-fifth
17/11
753.637
septendecimal subminor sixth
28/17
863.870
septendecimal submajor sixth
17/10
918.642
septendecimal major sixth
30/17
983.313
septendecimal minor seventh
32/17
1095.045
small septendecimal major seventh
17/9
1101.045
large septendecimal major seventh

see Harmonic Limit, seventeen limit tetrads