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

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