20/17

Interval information
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
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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