128/81: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 128/81
| Monzo = 7 -4
| Cents = 792.18000
| Name = Pythagorean minor sixth
| Name = Pythagorean minor sixth
| Color name = sw6, sawa 6th
| Color name = sw6, sawa 6th
| FJS name = m6
| Sound = jid_128_81_pluck_adu_dr220.mp3
| Sound = jid_128_81_pluck_adu_dr220.mp3
}}
}}


'''128/81''' is the '''Pythagorean minor sixth''', created by stacking for 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 ==
* [[81/64]] – its [[octave complement]]
* [[81/64]] – Its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]


[[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]]
{{todo| expand }}

Latest revision as of 07:26, 3 January 2025

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