19/1
Jump to navigation
Jump to search
Ratio | 19/1 |
Subgroup monzo | 19 [1⟩ |
Size in cents | 5097.513¢ |
Name | 19th harmonic |
Color name | c^{4}19o3, quadcono 3rd |
FJS name | [math]\text{m31}^{19}[/math] |
Special properties | harmonic |
Tenney height (log_{2} nd) | 4.24793 |
Weil height (log_{2} max(n, d)) | 8.49586 |
Wilson height (sopfr (nd)) | 19 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.77199 bits |
open this interval in xen-calc |
19/1, the 19th harmonic, is the harmonic past 18/1 and before 20/1. It is about four octaves and three semitones in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about D#6 or Eb6. Think of a soprano and a bass at their extremes. It is however, the basis of 19-limit harmony, as many 19-limit intervals can be expressed as the difference between this and another harmonic.
See also
- 19/16 – its octave-reduced form