128/81: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Aura (talk | contribs)
No edit summary
Fredg999 (talk | contribs)
m Misc. edits, categories
Line 10: Line 10:
}}
}}


'''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]]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.


== See also ==
== See also ==
Line 18: Line 18:


[[Category:3-limit]]
[[Category:3-limit]]
[[Category:Interval]]
[[Category:Interval ratio]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Minor sixth]]
[[Category:Minor sixth]]
[[Category:Pythagorean]]
[[Category:Listen]]
[[Category:Pages with internal sound examples]]
[[Category:Pages with internal sound examples]]


{{todo| expand }}
{{todo| expand }}

Revision as of 06:04, 12 December 2021

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 8/5— 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.

See also