24/1: Difference between revisions

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'''24/1''', the '''24th harmonic''', is the [[harmonic]] past [[23/1]] and before [[25/1]]. It is about four [[2/1|octave]] and seven [[semitone (interval size measure)|semitones]] 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 [[2/1|octave]] and seven [[semitone (interval size measure)|semitones]] 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 [[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.

== See also ==

* [[Gallery of just intervals]]

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-'''24/1''', the '''24th harmonic''', is the [[harmonic]] past [[23/1]] and before [[25/1]]. It is about four [[2/1|octave]] and seven [[semitone (interval size measure)|semitones]] 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 [[2/1|octave]] and seven [[semitone (interval size measure)|semitones]] 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 [[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.
 == See also ==
 * [[Gallery of just intervals]]