17/16: Difference between revisions
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Revision as of 03:10, 5 September 2020
| Interval information |
reduced,
reduced harmonic
[sound info]
In 17-limit just intonation, 17/16 is the 17th overtone, octave reduced, and may be called the large septendecimal semitone. Measuring about 105¢, it is close to the 12edo semitone of 100¢, and thus 12edo can be said to approximate it closely. In a chord, it can function similarly to a jazz "minor ninth" -- for instance, 8:10:12:14:17 (although here the interval is 17/8, which is a little less harsh sounding than 17/16). In 17-limit JI, it is treated as the next basic consonance after 13 and 15.
17/16 is one of two superparticular semitones in the 17-limit; the other is 18/17, which measures about 99¢. The difference between them is 289/288, about 6¢. If 12edo is treated as a harmonic system approximating 9 and 17, then 289/288 is tempered out.