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 (log2 nd) | 8.36632 |
| Weil height (log2 max(n, d)) | 8.91886 |
| Wilson height (sopfr (nd)) | 21 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.6217 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.