24/1
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| Ratio | 24/1 |
| Factorization | 23 × 3 |
| Monzo | [3 1⟩ |
| Size in cents | 5501.955¢ |
| Name | 24th harmonic |
| Color name | c4w5, quadcowa 5th |
| FJS name | [math]\text{P33}[/math] |
| Special properties | harmonic |
| Tenney height (log2 nd) | 4.58496 |
| Weil height (log2 max(n, d)) | 9.16993 |
| Wilson height (sopfr(nd)) | 9 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.1531 bits |
| open this interval in xen-calc | |
24/1, the 24th harmonic, is the harmonic past 23/1 and before 25/1. It is about four octaves 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.