17/16: Difference between revisions
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In [[17-limit]] [[just intonation]], '''17/16''' is the 17th [[overtone]], [[octave reduced]], and may be called the | 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. | 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. | ||
== See also == | == See also == | ||
* [[32/17]] its [[inverse interval]] | * [[32/17]] its [[inverse interval]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
[[Category:17-limit]] | [[Category:17-limit]] | ||
[[Category:Interval]] | [[Category:Interval ratio]] | ||
[[Category:Just interval]] | [[Category:Just interval]] | ||
[[Category: | [[Category:Listen]] | ||
[[Category: | [[Category:Second]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
Revision as of 22:06, 13 June 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.