54/35: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Consolidate interval name
+its function in harmony
Line 9: Line 9:
}}
}}
'''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 the interval stacked by [[9/7]] and [[6/5]] or the difference between [[12/7]] and [[10/9]].  
Notice it is also flat of the just minor sixth 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 15: Line 17:


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval ratio]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Interseptimal]]
[[Category:Interseptimal]]
Line 21: Line 24:
[[Category:Pages with internal sound examples]]
[[Category:Pages with internal sound examples]]


{{Todo| add color name | expand }}
{{Todo| add color name }}

Revision as of 17:21, 16 November 2021

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
FJS name [math]\displaystyle{ \text{P5}_{35} }[/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 the interval stacked by 9/7 and 6/5 or the difference between 12/7 and 10/9.

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

See also