22/17
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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]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.