23/1
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Ratio | 23/1 |
Subgroup monzo | 23 [1⟩ |
Size in cents | 5428.2743¢ |
Name | 23rd harmonic |
Color name | c^{4}23o5, quadcotwetho 5th |
FJS name | [math]\text{A32}^{23}[/math] |
Special properties | harmonic |
Tenney height (log_{2} nd) | 4.52356 |
Weil height (log_{2} max(n, d)) | 9.04712 |
Wilson height (sopfr (nd)) | 23 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~2.07667 bits |
open this interval in xen-calc |
23/1, the 23rd harmonic, is the harmonic past 22/1 and before 24/1. It is about four octaves and six semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about F#6 or Gb6. Think of a soprano and a bass at their extremes. It is however, the basis of 23-limit harmony, as many 23-limit intervals can be expressed as the difference between this and another harmonic.
See also
- 23/16 – its octave-reduced form