22/15
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Ratio | 22/15 |
Factorization | 2 × 3^{-1} × 5^{-1} × 11 |
Monzo | [1 -1 -1 0 1⟩ |
Size in cents | 663.04923¢ |
Names | undecimal diminished fifth, undecimal acute ultra-diminished fifth |
Color name | 1og5, logu 5th |
FJS name | [math]\text{d5}^{11}_{5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 8.36632 |
Weil height (log_{2} max(n, d)) | 8.91886 |
Wilson height (sopfr (nd)) | 21 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.30539 bits |
[sound info] | |
open this interval in xen-calc |
The undecimal diminished fifth of 22/15 is flat of 3/2 by 45/44, and is the interval between 5/4 and 11/6. It is wider than 16/11 by exactly 121/120 and narrower than 40/27 by exactly 100/99. Additionally, it is wider than 352/243 by exactly 81/80, which lends to it being called the undecimal acute ultra-diminished fifth. 5 steps of 9edo is a good approximation of this interval.