40/33
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Ratio
40/33
Factorization
23 × 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 (log2 nd)
10.3663
Weil height (log2 max(n, d))
10.6439
Wilson height (sopfr(nd))
25
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.22648 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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