22/17: Difference between revisions

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'''22/17'''
{{Infobox Interval
|1 0 0 0 1 0 -1>
| Name = septendecimal ultramajor third
| Color name = 17u1o3, sulo 3rd
| Sound = jid_22_17_pluck_adu_dr220.mp3
}}


446.3625 cents
In [[17-limit]] [[just intonation]], '''22/17''' is the '''septendecimal ultramajor third''', measuring about 446.4{{cent}}. It is the [[mediant]] between [[9/7]] and [[13/10]], as it is (9+13)/(7+10).


[[File:jid_22_17_pluck_adu_dr220.mp3]] [[:File:jid_22_17_pluck_adu_dr220.mp3|sound sample]]
Intervals around this size or a few cents smaller make good generators for [[sensi]] temperament.


In [[17-limit|17-limit]] [[Just_intonation|Just Intonation]], 22/17 is the "septendecimal supermajor third," measuring about 446.4¢. It is the [[mediant|mediant]] between [[9/7|9/7]] and [[13/10|13/10]], as it is (9+13)/(7+10).
== See also ==
* [[Gallery of just intervals]]
* [[17/11]] -- its [[octave complement]]


Intervals around this size or a few cents smaller make good generators for [[Sensi|sensi]] temperament.
[[Category:Third]]
 
[[Category:Supermajor third]]
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
[[Category:Interseptimal intervals]]
 
[[Category:Naiadic]]
[[Category:Interseptimal]]

Latest revision as of 02:51, 14 April 2025

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 ultramajor third
Color name 17u1o3, sulo 3rd
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 ultramajor 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

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