54/35: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 54/35
| Monzo = 1 3 -1 -1
| Cents = 750.72538
| Name = septimal semiaugmented fifth
| Name = septimal semiaugmented fifth
| Color name =  
| Color name = rg5, rugu 5th
| FJS name = P5<sub>35</sub>
| Sound = Ji-54-35-csound-foscil-220hz.mp3
| Sound = Ji-54-35-csound-foscil-220hz.mp3
}}
}}
'''54/35''', the '''septimal semiaugmented fifth''', is the interval stacked by [[9/7]] and [[6/5]] or the difference between [[12/7]] and [[10/9]].  
'''54/35''', the '''septimal semiaugmented fifth''', is a [[7-limit]] [[interseptimal]] interval. It corresponds to the sum of [[9/7]] and [[6/5]] or the difference between [[12/7]] and [[10/9]].
 
Notice it is also flat of the just minor sixth ([[8/5]]) by [[28/27]], the subminor second, suggesting the function of a dissonance yet to be resolved up to the minor sixth.  


== See also ==
== See also ==
Line 14: Line 12:
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:7-limit]]
[[Category:Interval ratio]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Interseptimal]]
[[Category:Interseptimal intervals]]
[[Category:Cocytic]]
[[Category:Cocytic]]
[[Category:Pages with internal sound examples]]
{{Todo| add color name | expand }}

Latest revision as of 03:27, 28 April 2023

Interval information
Ratio 54/35
Factorization 2 × 33 × 5-1 × 7-1
Monzo [1 3 -1 -1
Size in cents 750.7254¢
Name septimal semiaugmented fifth
Color name rg5, rugu 5th
FJS name [math]\displaystyle{ \text{P5}_{5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 10.8842
Weil norm (log2 max(n, d)) 11.5098
Wilson norm (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

54/35, the septimal semiaugmented fifth, is a 7-limit interseptimal interval. It corresponds to the sum of 9/7 and 6/5 or the difference between 12/7 and 10/9.

Notice it is also flat of the just minor sixth (8/5) by 28/27, the subminor second, suggesting the function of a dissonance yet to be resolved up to the minor sixth.

See also