12/1: Difference between revisions

'''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. Alternating [[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.