40/33: Difference between revisions

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Created page with "{{Infobox Interval | Icon = | Ratio = 40/33 | Monzo = 3 -1 1 0 -1 | Cents = 333.04077 | Name = undecimal supraminor third | Color name = | FJS name = M3<sup>5</sup><sub>11</s..."
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 40/33
| Monzo = 3 -1 1 0 -1
| Cents = 333.04077
| Name = undecimal supraminor third
| Name = undecimal supraminor third
| Color name =
| Color name = 1uy3, luyo 3rd
| FJS name = M3<sup>5</sup><sub>11</sub>
| Sound = Audacity pluck 40 33.wav
| Sound =  
}}
}}


'''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]].  
'''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]].  


== See also ==  
== See also ==  
* [[33/20]] &ndash; its [[octave complement]]
* [[33/20]] its [[octave complement]]
* [[99/80]] &ndash; its [[fifth complement]]
* [[99/80]] its [[fifth complement]]
* [[11/10]] – its [[fourth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Supraminor third]]
[[Category:Supraminor third]]

Latest revision as of 03:36, 11 April 2023

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

[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