22/17
Jump to navigation
Jump to search
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 (log_{2} nd) | 8.54689 |
Weil height (log_{2} 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.