22/17: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
TallKite (talk | contribs)
added color name
Fredg999 category edits (talk | contribs)
Line 15: Line 15:
[[Category:Third]]
[[Category:Third]]
[[Category:Supermajor third]]
[[Category:Supermajor third]]
[[Category:Interseptimal]]
[[Category:Interseptimal intervals]]
[[Category:Naiadic]]
[[Category:Naiadic]]

Revision as of 03:27, 28 April 2023

Interval information
Ratio 22/17
Factorization 2 × 11 × 17-1
Monzo [1 0 0 0 1 0 -1
Size in cents 446.3625¢
Name septendecimal supermajor third
Color name 17u1o3, sulo 3rd
FJS name [math]\displaystyle{ \text{M3}^{11}_{17} }[/math]
Special properties reduced
Tenney norm (log2 nd) 8.54689
Weil norm (log2 max(n, d)) 8.91886
Wilson norm (sopfr(nd)) 30

[sound info]
Open this interval in xen-calc

In 17-limit just intonation, 22/17 is the septendecimal supermajor third, measuring about 446.4 ¢. It is the mediant between 9/7 and 13/10, as it is (9+13)/(7+10).

Intervals around this size or a few cents smaller make good generators for sensi temperament.

See also