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 "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.

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.

== See also ==

* [[32/17]] its [[inverse interval]]

* [[Gallery of just intervals]]

[[Category:17-limit]]

[[Category:Interval]]

[[Category:Interval ratio]]

[[Category:Just interval]]

[[Category:~~Ratio~~]]

[[Category:Listen]]

[[Category:~~Sound example~~]]

[[Category:Second]]

[[Category:Semitone]]

[[Category:Superparticular]]

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-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.
+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.
 /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 ==
 * [[32/17]] its [[inverse interval]]
 * [[Gallery of just intervals]]
 [[Category:17-limit]]
-[[Category:Interval]]
+[[Category:Interval ratio]]
 [[Category:Just interval]]
-[[Category:Ratio]]
+[[Category:Listen]]
-[[Category:Sound example]]
+[[Category:Second]]
 [[Category:Semitone]]
 [[Category:Superparticular]]