17/1
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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 (log_{2} nd) | 4.08746 |
Weil height (log_{2} 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
- 17/16 – its octave-reduced form