40/33
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Ratio | 40/33 |
Factorization | 2^{3} × 3^{-1} × 5 × 11^{-1} |
Monzo | [3 -1 1 0 -1⟩ |
Size in cents | 333.04077¢ |
Name | undecimal supraminor third |
Color name | 1uy3, luyo 3rd |
FJS name | [math]\text{M3}^{5}_{11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 10.3663 |
Weil height (log_{2} max(n, d)) | 10.6439 |
Wilson height (sopfr (nd)) | 25 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.55803 bits |
[sound info] | |
open this interval in xen-calc |
40/33, the undecimal supraminor third, approx. 333 cents in size, has a very close approximation in 18edo. It is the fourth complement of 11/10, and only differs from two of it by 4000/3993. It is sharp of the classic minor third 6/5 by 100/99 (17.4¢); more notably, it differs from the tridecimal supraminor third 63/52 by only 2080/2079.
See also
- 33/20 – its octave complement
- 99/80 – its fifth complement
- 11/10 – its fourth complement
- Gallery of just intervals