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Interval information
Ratio 17/1
Subgroup monzo 17 [1
Size in cents 4904.9554¢
Name 17th harmonic
Color name quadcoso 2nd, c^417o2
FJS name [math]\text{m30}^{17}[/math]
Special properties harmonic
Tenney height (log2 nd) 4.08746
Weil height (log2 max(n, d)) 8.17493
Wilson height (sopfr (nd)) 17
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~2.90421 bits
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