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{nd}[/math])
~4.30539 bits
[sound info]
open this interval in xen-calc
| Interval information |
undecimal acute ultra-diminished fifth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.