24/1
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| Interval information |
highly composite harmonic
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
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.