40/33: Difference between revisions

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Categories, added comparison with classic minor third and tridecimal supraminor third
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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 = luyo 3rd, 1uy3
| Color name = 1uy3, luyo 3rd
| FJS name = M3<sup>5</sup><sub>11</sub>
| Sound = Audacity pluck 40 33.wav
| Sound =  
}}
}}


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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[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