6561/4096: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = Pythagorean augmented fifth
| Name = Pythagorean augmented fifth, tetratone
| Color name = Lw5, lawa 5th
| Color name = Lw5, lawa 5th
}}
}}


The '''Pythagorean augmented fifth''', '''6561/4096''', may be reached by stacking two [[81/64]] intervals. It differs from [[8/5]] by the [[schisma]], and, as a result, despite 81/64 being a dissonance, the Pythagorean augmented fifth is in fact rather consonant.
The '''Pythagorean augmented fifth''', '''6561/4096''', may be reached by stacking two [[81/64]] intervals. The Medieval music theorist Jacques de Liège referred to it as the '''tetratone''' (akin to the [[ditone]] and [[729/512|tritone]]), as it may be reached by stacking four (Pythagorean whole) [[tone]]s ([[9/8]]). It differs from [[8/5]] by the [[schisma]], and, as a result, despite 81/64 being a dissonance, the Pythagorean augmented fifth is in fact rather consonant.


== See also ==
== See also ==