40/33: Difference between revisions

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'''40/33''', the '''undecimal supraminor third''', approx. 333 [[cent]]s 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]].  
'''40/33''', the '''undecimal supraminor third''', approx. 333 [[cent]]s 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¢). Both of these differences are tempered out in [[porcupine]] temperament. More notably, it differs from the tridecimal supraminor third [[63/52]] by only [[2080/2079]].  


== See also ==  
== See also ==  

Latest revision as of 09:55, 13 November 2025

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 norm (log2 nd) 10.3663
Weil norm (log2 max(n, d)) 10.6439
Wilson norm (sopfr(nd)) 25

[sound info]
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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¢). Both of these differences are tempered out in porcupine temperament. More notably, it differs from the tridecimal supraminor third 63/52 by only 2080/2079.

See also