33/19: Difference between revisions

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Created page with "{{Infobox interval}} 33/19 is a 19-limit interval of about 956¢. It is classified as a major 6th in FJS. It is close to 4 steps of 5edo. A stack of 5 33/19s differs from 4 octaves by {{Monzo|4 -5 0 0 -5 0 0 5}}, about 21.2¢."
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{{Infobox interval}}
{{Infobox interval}}


33/19 is a 19-limit interval of about 956¢. It is classified as a major 6th in FJS. It is close to 4 steps of [[5edo]]. A stack of 5 33/19s differs from 4 octaves by {{Monzo|4 -5 0 0 -5 0 0 5}}, about 21..
'''33/19''' is a [[19-limit]] interval in the [[interseptimal]] range, at about 956 [[cent]]s. It is the [[twelfth complement]] of [[19/11]]. It is classified as a [[major sixth]] in [[FJS]] and [[HEJI]], sharp of the [[27/16|Pythagorean major sixth]] by [[176/171]], which is the difference between [[33/32]] and [[513/512]]. A stack of two 33/19's exceeds [[3/1]] by [[363/361]].  
 
It is close to 4 steps of [[5edo]]. A stack of five 33/19's differs from four octaves by {{monzo| 4 -5 0 0 -5 0 0 5 }}, about 21.2 cents.
 
== See also ==
* [[38/33]] – its [[octave complement]]
 
 
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Latest revision as of 08:08, 11 April 2026

Interval information
Ratio 33/19
Factorization 3 × 11 × 19-1
Monzo [0 1 0 0 1 0 0 -1
Size in cents 955.7599¢
Name(s) missing ? 
FJS name [math]\displaystyle{ \text{M6}^{11}_{19} }[/math]
Special properties reduced
Tenney norm (log2 nd) 9.29232
Weil norm (log2 max(n, d)) 10.0888
Wilson norm (sopfr(nd)) 33
Open this interval in xen-calc

33/19 is a 19-limit interval in the interseptimal range, at about 956 cents. It is the twelfth complement of 19/11. It is classified as a major sixth in FJS and HEJI, sharp of the Pythagorean major sixth by 176/171, which is the difference between 33/32 and 513/512. A stack of two 33/19's exceeds 3/1 by 363/361.

It is close to 4 steps of 5edo. A stack of five 33/19's differs from four octaves by [4 -5 0 0 -5 0 0 5, about 21.2 cents.

See also


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