24/1: Difference between revisions
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| Color name = c<sup>4</sup>w5, quadcowa 5th | | Color name = c<sup>4</sup>w5, quadcowa 5th | ||
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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: | '''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. | ||
== See also == | == See also == | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 16:59, 26 February 2025
| Interval information |
highly composite harmonic
24/1, the 24th harmonic, is the harmonic past 23/1 and before 25/1. It is about four octave and seven 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 intervals. For example, stacking with octaves, fifths and fourths gives a consonant but simplistic skeleton across multiple registers: 1–2–3–4–6–8–12–24, on which higher-limit intervals can be added to enrich its colors.