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| {{Infobox Chord|ColorName=wa or w}} | | {{Infobox Chord|ColorName=wa or w}} |
| '''54:64:81''', is a [[minor triad]] found on the ii, iii, and vi of the [[3-limit]] [[5L 2s|diatonic scale]]. It is easily referred to as the '''Pythagorean minor triad''', and, unlike [[10:12:15]], 54:64:81 is [[ambitonal]]. | | '''54:64:81''', also known as the '''Pythagorean minor triad''', is a just 3-limit [[minor triad]]. Its third differs from the third of the much simpler 5-limit minor triad [[10:12:15]] by only the [[81/80]] comma. |
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| In [[meantone]] this chord is [[tempered together]] with both 10:12:15 and [[27:32:40]], so it may be considered a 3-limit approximation of those chords, or a chord in its own right 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 ii degree in Ionian mode in place of 27:32:40, thus allowing it to be more reliably used in the major scale's [[Wikipedia: Circle progression|circle progression]], while also cutting back on tonal ambiguity.
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| [[Category:Minor triads|##]] <!-- 2-digit first number --> | | [[Category:Minor triads|##]] <!-- 2-digit first number --> |