20/17
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Ratio | 20/17 |
Factorization | 2^{2} × 5 × 17^{-1} |
Monzo | [2 0 1 0 0 0 -1⟩ |
Size in cents | 281.3583¢ |
Name | diatismic minor third |
Color name | 17uy2, suyo 2nd |
FJS name | [math]\text{A2}^{5}_{17}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 8.40939 |
Weil height (log_{2} max(n, d)) | 8.64386 |
Wilson height (sopfr (nd)) | 26 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.20109 bits |
[sound info] | |
open this interval in xen-calc |
In 17-limit just intonation, 20/17 is the diatismic minor third, measuring about 281.4 ¢. It falls short of the Pythagorean minor third (32/27) by a diatisma (136/135), hence the name. It is the mediant of 7/6 and 13/11, as it is (7 + 13)/(6 + 11). It is found in the harmonic series between the 17th and 20th harmonics.
See also
- 17/10 – its octave complement
- 51/40 – its fifth complement
- 17/15 – its fourth complement
- 4\17 (282.353 cents)
- Gallery of just intervals