19/1: Difference between revisions

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| Color name = c<sup>4</sup>19o3, quadcono 3rd
| Color name = c<sup>4</sup>19o3, quadcono 3rd
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'''19/1''', the '''19th harmonic''', is the [[harmonic]] past [[18/1]] and before [[20/1]]. It is about four [[2/1|octaves]] and three [[semitone (interval size measure)|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.  
'''19/1''', the '''19th harmonic''', is the [[harmonic]] past [[18/1]] and before [[20/1]]. It is about four [[2/1|octaves]] and three [[semitone (interval size measure)|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 ==
== See also ==
* [[19/16]] – its [[octave reduction|octave-reduced]] form
* [[19/16]] – its [[octave reduction|octave-reduced]] form

Latest revision as of 15:53, 26 September 2025

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 norm (log2 nd) 4.24793
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 19
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