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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.