19/1

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]\displaystyle{ \text{m31}^{19} }[/math]
Special properties	harmonic, prime harmonic
Tenney height (log2 nd)	4.24793
Weil height (log2 max(n, d))	8.49586
Wilson height (sopfr(nd))	19
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~2.21658 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 semitone 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