17/16: Difference between revisions

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~~'''~~17/16~~'''~~

{{Infobox Interval

|-4 0 0 0 0 0 1~~>~~

| Icon =

| Ratio = 17/16

| Monzo = -4 0 0 0 0 0 1

| Cents = 104.95541

| Name = large septendecimal semitone

| Color name = 17o2, iso 2nd

| Sound = jid_17_16_pluck_adu_dr220.mp3

}}

~~104~~.~~9554 cents~~

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.

[[~~File:jid_17_16_pluck_adu_dr220.mp3~~]] [[~~:File:jid_17_16_pluck_adu_dr220.mp3|sound sample~~]]

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.

In [[17~~-limit|17-limit~~]] [[~~Just_intonation|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|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.

== See also ==

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

* [[Gallery of Just Intervals]]

17~~/16 is one of two~~ [[~~superparticular|superparticular~~]] ~~semitones in the 17-limit; the other is~~ [[~~18/17|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.~~

[[Category:17-limit]]

[[Category:Interval]]

~~See~~: [[~~Gallery_of_Just_Intervals|Gallery of Just Intervals~~]]

[[Category:Just interval]]

[[Category:Ratio]]

[[Category:Sound example]]

[[Category:Semitone]]

[[Category:Superparticular]]

@@ Line 1: / Line 1: @@
-'''17/16'''
+{{Infobox Interval
-|-4 0 0 0 0 0 1&gt;
+| Icon =
+| Ratio = 17/16
+| Monzo = -4 0 0 0 0 0 1
+| Cents = 104.95541
+| Name = large septendecimal semitone
+| Color name = 17o2, iso 2nd
+| Sound = jid_17_16_pluck_adu_dr220.mp3
+}}
-.9554 cents
+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.
-[[File:jid_17_16_pluck_adu_dr220.mp3]] [[:File:jid_17_16_pluck_adu_dr220.mp3|sound sample]]
+/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.
-In [[17-limit|17-limit]] [[Just_intonation|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|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.
+== See also ==
+* [[32/17]] its [[inverse interval]]
+* [[Gallery of Just Intervals]]
-/16 is one of two [[superparticular|superparticular]] semitones in the 17-limit; the other is [[18/17|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.
+[[Category:17-limit]]
+[[Category:Interval]]
-See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
+[[Category:Just interval]]
+[[Category:Ratio]]
+[[Category:Sound example]]
+[[Category:Semitone]]
+[[Category:Superparticular]]