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Interval information
Ratio 19/1
Subgroup monzo 19 [1
Size in cents 5097.513¢
Name 19th harmonic
Color name c419o3, quadcono 3rd
FJS name [math]\text{m31}^{19}[/math]
Special properties harmonic
Tenney height (log2 nd) 4.24793
Weil height (log2 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