24/1: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = 24th harmonic
| Name = 24th harmonic
| Color name = c<sup>4</sup>w5, quadcowa 5th
}}
}}
'''24/1''', the '''24th harmonic''', is the [[harmonic]] past [[23/1]] and before [[25/1]]. It is about four [[octave]]s and seven [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about G6. Think of a soprano and a bass at their extremes. Since 24 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: 1-2-3-4-6-8-12-24, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors.  
'''24/1''', the '''24th harmonic''', is the [[harmonic]] past [[23/1]] and before [[25/1]]. It is about four [[octave]]s and seven [[semitone]]s in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about G6. Think of a soprano and a bass at their extremes. Since 24 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: 1-2-3-4-6-8-12-24, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors.