17/1: Difference between revisions

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'''17/1''', the '''17th harmonic''', is the [[harmonic]] past [[16/1]] and before [[18/1]]. It is about four [[octave]]s and a [[semitone]] in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about C#6 or Db6. Think of a soprano and a bass at their extremes. It is however, the basis of [[17-limit]] harmony, as many 17-limit intervals are the difference between this and another harmonic.  
'''17/1''', the '''17th harmonic''', is the [[harmonic]] past [[16/1]] and before [[18/1]]. It is about four [[octave]]s and a [[semitone]] in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about C#6 or Db6. Think of a soprano and a bass at their extremes. It is however, the basis of [[17-limit]] harmony, as many 17-limit intervals can be expressed as the difference between this and another harmonic.  


== See also ==
== See also ==
* [[17/16]] – its [[octave reduction|octave-reduced]] form
* [[17/16]] – its [[octave reduction|octave-reduced]] form

Revision as of 13:47, 15 December 2023

Interval information
Ratio 17/1
Subgroup monzo 17 [1
Size in cents 4904.955¢
Name 17th harmonic
Color name quadcoso 2nd, c^417o2
FJS name [math]\displaystyle{ \text{m30}^{17} }[/math]
Special properties harmonic,
prime harmonic
Tenney norm (log2 nd) 4.08746
Weil norm (log2 max(n, d)) 8.17493
Wilson norm (sopfr(nd)) 17
Open this interval in xen-calc

17/1, the 17th harmonic, is the harmonic past 16/1 and before 18/1. It is about four octaves and a semitone in size. Used in harmony, it sounds particularly wide: if the lower note is C2, the higher note will be about C#6 or Db6. Think of a soprano and a bass at their extremes. It is however, the basis of 17-limit harmony, as many 17-limit intervals can be expressed as the difference between this and another harmonic.

See also