33/29: Difference between revisions

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{{Infobox Interval}}33/29 is a no-2s 29-limit (3.11.29 subgroup) ratio of about 224 cents. This means that 33/29 is very near the interval of 3 steps in 16edo. It is also close to [[8/7]], separated from it by the comma 232/231.
{{Infobox Interval}}
'''33/29''' is a relatively complex ([[29-limit]]) large major second, falling in between [[9/8]] and [[8/7]]. It is the [[mediant]] of [[25/22]] and 8/7, and it is very close to the stack of two [[16/15]]s, differing by the comma [[7425/7424]] = {{S|30/S32}}, and is [[88/87]] above 9/8 and [[232/231]] below 8/7. It is closely approximated by [[16edo|3\16]], with [[43edo|8\43]] coming much closer.
 
== See also ==
* [[Gallery of just intervals]]
 
[[Category:Second]]
[[Category:Whole tone]]

Latest revision as of 00:11, 25 September 2025

Interval information
Ratio 33/29
Subgroup monzo 3.11.29 [1 1 -1⟩
Size in cents 223.6957¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{M2}^{11}_{29} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.90238
Weil norm (log2 max(n, d)) 10.0888
Wilson norm (sopfr(nd)) 43
Open this interval in xen-calc

33/29 is a relatively complex (29-limit) large major second, falling in between 9/8 and 8/7. It is the mediant of 25/22 and 8/7, and it is very close to the stack of two 16/15s, differing by the comma 7425/7424 = S30/S32, and is 88/87 above 9/8 and 232/231 below 8/7. It is closely approximated by 3\16, with 8\43 coming much closer.

See also

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