17/16: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 17/16

| Monzo = -4 0 0 0 0 0 1

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}}

In [[17-limit]] [[just intonation]], '''17/16''' is the 17th [[~~Harmonic series|~~harmonic]], [[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 [[harmonic]], [[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.

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[[Category:17-limit]]

~~[[Category:Interval ratio]]~~

~~[[Category:Just interval]]~~

~~[[Category:Listen]]~~

[[Category:Second]]

[[Category:Semitone]]

[[Category:Chroma]]

~~[[Category:Semitone]]~~

[[Category:Superparticular]]

[[Category:~~Overtone]]~~

[[Category:Octave-reduced harmonics]]

~~[[Category:Over~~-~~2]]~~

~~[[Category:Pages with internal sound examples~~]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Icon =
 | Ratio = 17/16
 | Monzo = -4 0 0 0 0 0 1
@@ Line 10: / Line 9: @@
 }}
-In [[17-limit]] [[just intonation]], '''17/16''' is the 17th [[Harmonic series|harmonic]], [[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 [[harmonic]], [[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.
@@ Line 24: / Line 23: @@
 [[Category:17-limit]]
-[[Category:Interval ratio]]
-[[Category:Just interval]]
-[[Category:Listen]]
 [[Category:Second]]
+[[Category:Semitone]]
 [[Category:Chroma]]
-[[Category:Semitone]]
 [[Category:Superparticular]]
-[[Category:Overtone]]
+[[Category:Octave-reduced harmonics]]
-[[Category:Over-2]]
-[[Category:Pages with internal sound examples]]