80/51: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
m Explained 11\17
Xenllium (talk | contribs)
No edit summary
Tags: Mobile edit Mobile web edit
 
Line 1: Line 1:
{{Infobox Interval}}
{{Infobox interval|Name=diatismic minor sixth|Color name=17uy5, suyo 5th}}
80/51 is a [[17-limit]] interval of about 779.5 cents.
'''80/51''' is a [[17-limit]] interval of about 779.5 cents. It falls short of the Pythagorean minor sixth ([[128/81]]) by a diatisma ([[136/135]]).


==Approximation by edos==
== Approximation by edos ==
It is well approximated by 11 steps of [[17edo]] (11\17).
It is well approximated by 11 steps of [[17edo]] (11\17).
== See also ==
* [[51/40]] – its [[octave complement]]

Latest revision as of 12:40, 15 June 2025

Interval information
Ratio 80/51
Factorization 24 × 3-1 × 5 × 17-1
Monzo [4 -1 1 0 0 0 -1
Size in cents 779.4033¢
Name diatismic minor sixth
Color name 17uy5, suyo 5th
FJS name [math]\displaystyle{ \text{A5}^{5}_{17} }[/math]
Special properties reduced
Tenney height (log2 nd) 11.9944
Weil height (log2 max(n, d)) 12.6439
Wilson height (sopfr(nd)) 33
Open this interval in xen-calc

80/51 is a 17-limit interval of about 779.5 cents. It falls short of the Pythagorean minor sixth (128/81) by a diatisma (136/135).

Approximation by edos

It is well approximated by 11 steps of 17edo (11\17).

See also