20/17
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Ratio
20/17
Factorization
22 × 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 (log2 nd)
8.40939
Weil height (log2 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
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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