22/17: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Fredg999 (talk | contribs)
m Misc. edits, categories
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Ratio = 22/17
| Monzo = 1 0 0 0 1 0 -1
| Cents = 446.36253
| Name = septendecimal supermajor third
| Name = septendecimal supermajor third
| Color name =
| Sound = jid_22_17_pluck_adu_dr220.mp3
| Sound = jid_22_17_pluck_adu_dr220.mp3
}}
}}
Line 16: Line 12:
* [[17/11]] -- its [[octave complement]]
* [[17/11]] -- its [[octave complement]]


[[Category:17-limit]]
[[Category:Third]]
[[Category:Third]]
[[Category:Supermajor third]]
[[Category:Supermajor third]]
[[Category:Interseptimal]]
[[Category:Interseptimal]]
[[Category:Naiadic]]
[[Category:Naiadic]]
{{todo|expand|add color name}}

Revision as of 11:55, 25 October 2022

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
FJS name [math]\displaystyle{ \text{M3}^{11}_{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 8.54689
Weil height (log2 max(n, d)) 8.91886
Wilson height (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