81/55: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Arseniiv (talk | contribs)
m infoboxified + clarified “and and and”
TallKite (talk | contribs)
added color name
 
(5 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = undecimal acute paraminor fifth
| Ratio = 81/55
| Color name = 1ug5, lugu 5th
| Monzo = 0 4 -1 0 -1
| Cents = 670.188347
| Name =  
| Color name =  
| FJS name =
| Sound =
}}
}}


'''81/55''' is 243/242 (7.1 cents) sharp of [[22/15]], and is the interval between [[10/9]] and [[18/11]], as well as between [[11/9]] and [[9/5]].
'''81/55''', the '''undecimal acute paraminor fifth''', is an [[11-limit]] interval. It is [[243/242]] (7.1{{cent}}) sharp of [[22/15]], and is the interval between [[10/9]] and [[18/11]], as well as between [[11/9]] and [[9/5]]. It is also [[55/54]] flat of the perfect fifth ([[3/2]]).  Most conspicuously, it is [[81/80]] sharp of [[16/11]], which is what leads to its name.
 
== See also ==
* [[110/81]] – its [[octave complement]]
* [[Gallery of just intervals]]


[[Category:11-limit]]
[[Category:Fifth]]
[[Category:Fifth]]
[[Category:Interval ratio]]
[[Category:Subfifth]]
[[Category:Just interval]]
 
[[Category:Todo:add introduction]]
[[Category:Todo:expand]]

Latest revision as of 01:36, 29 December 2022

Interval information
Ratio 81/55
Factorization 34 × 5-1 × 11-1
Monzo [0 4 -1 0 -1
Size in cents 670.1883¢
Name undecimal acute paraminor fifth
Color name 1ug5, lugu 5th
FJS name [math]\displaystyle{ \text{P5}_{5,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 12.1212
Weil height (log2 max(n, d)) 12.6797
Wilson height (sopfr(nd)) 28
Open this interval in xen-calc

81/55, the undecimal acute paraminor fifth, is an 11-limit interval. It is 243/242 (7.1 ¢) sharp of 22/15, and is the interval between 10/9 and 18/11, as well as between 11/9 and 9/5. It is also 55/54 flat of the perfect fifth (3/2). Most conspicuously, it is 81/80 sharp of 16/11, which is what leads to its name.

See also