22/17

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Interval information
Ratio 22/17
Factorization 2 × 11 × 17-1
Monzo [1 0 0 0 1 0 -1
Size in cents 446.36253¢
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{n\cdot d}[/math])
~4.57792 bits

[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