12/1: Difference between revisions

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{{Infobox Interval

| Name = 12th harmonic

| Name = 12th harmonic, duodecuple

| Color name = c<sup>3</sup>w5, tricowa 5th

| Sound = jid_12_1_pluck_adu_dr55.mp3

}}

'''12/1''', the '''12th harmonic''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning|Pythagorean]] intervals. For example, stacking with octaves, [[3/2|fifth]]s and [[4/3|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors.

'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning|Pythagorean]] intervals. For example, stacking with octaves, [[3/2|fifth]]s and [[4/3|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors.

== See also ==

* [[Gallery of just intervals]]

* [[Ed12]]

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 {{Infobox Interval
-| Name = 12th harmonic
+| Name = 12th harmonic, duodecuple
 | Color name = c<sup>3</sup>w5, tricowa 5th
 | Sound = jid_12_1_pluck_adu_dr55.mp3
 }}
-'''12/1''', the '''12th harmonic''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning|Pythagorean]] intervals. For example, stacking with octaves, [[3/2|fifth]]s and [[4/3|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors.
+'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a {{w|highly composite number}}, this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning|Pythagorean]] intervals. For example, stacking with octaves, [[3/2|fifth]]s and [[4/3|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors.
 == See also ==
 * [[Gallery of just intervals]]
 * [[Ed12]]