81/64: Difference between revisions

Xenwolf (talk | contribs)
See also: +5th complement
Overthink (talk | contribs)
m See also: "a chord where it is the first step" isn't notable enough; there are many
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = Pythagorean major third, ditone
| Ratio = 81/64
| Color name = Lw3, lawa 3rd
| Monzo = -6 4
| Cents = 407.82000
| Name = Pythagorean major third
| Color name = Lw3, large wa 3rd  
| Sound = jid_81_64_pluck_adu_dr220.mp3
| Sound = jid_81_64_pluck_adu_dr220.mp3
}}
}}
 
{{Wikipedia|Ditone}}
The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two octaves.
The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more discordant on its own, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance.


== See also ==
== See also ==
* [[128/81]] - its [[inversion]]
* [[128/81]] its [[octave complement]]
* [[32/27]] - its [[fifth complement]]
* [[32/27]] its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]
* [[Gallery of just intervals]]


[[Category:3-limit]]
[[Category:Interval]]
[[Category:Ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Major third]]
[[Category:Major third]]
[[Category:Pythagorean]]
[[Category:todo:expand]]