20/17: Difference between revisions

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== See also ==
== See also ==
* [[17/10]] – its [[octave complement]]
* [[17/10]] – its [[octave complement]]
* [[51/40]] – its [[fifth complement]]
* [[17/15]] – its [[fourth complement]]
* [[17/15]] – its [[fourth complement]]
* [[17edo|4\17]] (282.353 cents)
* [[17edo|4\17]] (282.353 cents)

Revision as of 15:12, 13 May 2022

Interval information
Ratio 20/17
Factorization 22 × 5 × 17-1
Monzo [2 0 1 0 0 0 -1
Size in cents 281.3583¢
Name septendecimal minor third
Color name 17uy2, suyo 2nd
FJS name [math]\displaystyle{ \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

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In 17-limit just intonation, 20/17 is the septendecimal minor third, measuring about 281.4 ¢. It is the mediant between 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