22/17

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]\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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.22082 bits
[sound info]
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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

• Gallery of just intervals
• 17/11 -- its octave complement