6561/4096: Difference between revisions
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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 from [[3/2]] by the [[apotome]]. | 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]]), and he considered it highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref> It differs from [[8/5]] by the [[schisma]], and from [[3/2]] by the [[apotome]]. | ||
== See also == | == See also == | ||
* [[8192/6561]] – its [[octave complement]] | * [[8192/6561]] – its [[octave complement]] | ||