20/17: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Xenwolf (talk | contribs)
simplified wiki source code; added infobox interval
Xenwolf (talk | contribs)
m simplified link
Line 13: Line 13:


* [[17edo|4\17]] (282.353 cents)
* [[17edo|4\17]] (282.353 cents)
* [[17/10|17/10]] the [[octave complement]]
* [[17/10]] the [[octave complement]]
* [[Gallery of Just Intervals]]
* [[Gallery of Just Intervals]]



Revision as of 21:50, 18 October 2018

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
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: