64:81:96: Difference between revisions

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{{Infobox Chord}}
{{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]].
'''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.
 
It is sometimes used as a 3-limit approximation of [[4:5:6]], but is also used in its own right as a chord with a less stable third.


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Latest revision as of 08:41, 25 December 2025

Chord information
Harmonics 64:81:96
Subharmonics 1/(81:64:54)
Intervals from root 1/181/643/2
Cents from root 408¢702¢
Step intervals 81/64, 32/27
Step cents 408¢, 294¢
Color name lawa or Lw
Prime limit 3
Genus 34 (81)
Intervallic odd limit 81
Otonal odd limit 81
Utonal odd limit 81
Consistent edos (d ≥ 2) 12edo**, 17edo*, 24edo*, 29edo*, …

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.

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