12/1
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| Interval information |
duodecuple
highly composite harmonic
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
[sound info]
12/1, the 12th harmonic or duodecuple, 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.