21/1
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Ratio
21/1
Factorization
3 × 7
Monzo
[0 1 0 1⟩
Size in cents
5270.7809¢
Name
21st harmonic
Color name
c4z4, quadcozo 4th
FJS name
[math]\text{P32}^{7}[/math]
Special properties
harmonic
Tenney height (log2 nd)
4.39232
Weil height (log2 max(n, d))
8.78463
Wilson height (sopfr(nd))
10
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~2.20597 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
21/1, the 21st harmonic, is the harmonic past 20/1 and before 22/1. It is about four octaves and five semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F6. Think of a soprano and a bass at their extremes. However, it can be approached as a stack of 3/1 and 7/1, making chords like 1-3-21, 1-7-21, or 1-3-7-21.