64:81:96: Difference between revisions

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{{Infobox Chord|ColorName=lawa or Lw}}
{{Infobox Chord|ColorName=lawa or Lw}}
'''64:81:96''' is a [[major triad]] found on the I, IV, and V of the [[3-limit]] [[5L 2s|diatonic scale]].  It is easily referred to as the '''Pythagorean major triad'''.
'''64:81:96''' is a just 3-limit [[major triad]], also known as the '''Pythagorean major triad'''. Its third differs from the third of the 5-limit major triad [[4:5:6]] by only the [[81/80]] comma. Assuming a harmonic timbre, the 5-limit triad is considerably more consonant.
 
In [[meantone]] this chord is tempered together with [[4:5:6]]; it may be considered a 3-limit approximation of that chord, or used in its own right as a chord with a less stable third.  Accordingly, [[User:Aura|Aura]] takes advantage of these properties in his non-meantone [[5-limit]] music where it shows up as the triad built on the IV degree in Ionian mode, thus preventing that scale degree from being tonicized by accident and lessening tonal ambiguity in plagal and semiplagal cadences, as well as other chord progressions that use both I and IV.


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