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 | c^{4}z4, quadcozo 4th |
FJS name | [math]\text{P32}^{7}[/math] |
Special properties | harmonic |
Tenney height (log_{2} nd) | 4.39232 |
Weil height (log_{2} 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 |
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.