20/17: Difference between revisions

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| Color name = 17uy2, suyo 2nd
| Color name = 17uy2, suyo 2nd
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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 [[OverToneSeries|harmonic series]] between the 17th and 20th harmonics.
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 ==
== See also ==
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[[Category:17-limit]]
[[Category:17-limit]]
[[Category:Interval]]
[[Category:Interval ratio]]
[[Category:Just interval]]
[[Category:Just interval]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Third]]
[[Category:Third]]
[[Category:Septendecimal]]

Revision as of 21:57, 13 June 2020

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

[sound info]
Open this interval in xen-calc

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