128/81: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
m Normalising usage of Infobox Interval
ArrowHead294 (talk | contribs)
No edit summary
Line 5: Line 5:
}}
}}


'''128/81''' is the '''Pythagorean minor sixth''', created by stacking four instances of [[4/3]] and [[Octave reduction|octave-reducing]]. In contrast to the more typical [[8/5]]with which it is conflated in [[meantone]]this interval has a [[harmonic entropy]] level roughly on par with that of [[12/11]]. Thus, some would argue that it is functionally an imperfect dissonance.
'''128/81''' is the '''Pythagorean minor sixth''', created by stacking four instances of [[4/3]] and [[Octave reduction|octave-reducing]]. In contrast to the more typical [[8/5]]{{mdash}}with which it is conflated in [[meantone]]{{mdash}}this interval has a [[harmonic entropy]] level roughly on par with that of [[12/11]]. Thus, some would argue that it is functionally an imperfect dissonance.


== See also ==
== See also ==
* [[81/64]] – its [[octave complement]]
* [[81/64]] – Its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]

Revision as of 13:33, 23 May 2024

Interval information
Ratio 128/81
Factorization 27 × 3-4
Monzo [7 -4
Size in cents 792.18¢
Name Pythagorean minor sixth
Color name sw6, sawa 6th
FJS name [math]\displaystyle{ \text{m6} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 13.3399
Weil height (log2 max(n, d)) 14
Wilson height (sopfr(nd)) 26

[sound info]
Open this interval in xen-calc

128/81 is the Pythagorean minor sixth, created by stacking four instances of 4/3 and octave-reducing. In contrast to the more typical 8/5Template:Mdashwith which it is conflated in meantoneTemplate:Mdashthis interval has a harmonic entropy level roughly on par with that of 12/11. Thus, some would argue that it is functionally an imperfect dissonance.

See also