17/1

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{nd}[/math])	~2.28797 bits
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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

• 17/16 – its octave-reduced form