12/1
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| Ratio | 12/1 |
| Factorization | 22 × 3 |
| Monzo | [2 1⟩ |
| Size in cents | 4301.955¢ |
| Name | 12th harmonic |
| Color name | c3w5, tricowa 5th |
| FJS name | [math]\text{P26}[/math] |
| Special properties | harmonic |
| Tenney height (log2 nd) | 3.58496 |
| Weil height (log2 max(n, d)) | 7.16993 |
| Wilson height (sopfr (nd)) | 7 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.45478 bits |
[sound info] | |
| open this interval in xen-calc | |
12/1, the 12th harmonic, is the harmonic past 11/1 and before 13/1. It is three octaves above 3/2. Since 12 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: 1-2-3-4-6-12, on which higher-limit intervals can be added to enrich its colors.