12/1: Difference between revisions

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'''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 [[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 [[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 ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Ed12]]
* [[Ed12]]