81/55: Difference between revisions

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'''81/55''', the '''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.
'''81/55''', the '''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:11-limit]]

Revision as of 15:47, 6 July 2022

Interval information
Ratio 81/55
Factorization 34 × 5-1 × 11-1
Monzo [0 4 -1 0 -1
Size in cents 670.1883¢
Name acute paraminor fifth
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 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