17-limit
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 |