40/33

Interval information

Ratio	40/33
Factorization	23 × 3-1 × 5 × 11-1
Monzo	[3 -1 1 0 -1⟩
Size in cents	333.0408¢
Name	undecimal supraminor third
Color name	1uy3, luyo 3rd
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.22648 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