6561/4096: Difference between revisions
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The '''Pythagorean augmented fifth''', '''6561/4096''', may be reached by stacking two [[81/64]] | The '''Pythagorean augmented fifth''', '''6561/4096''', may be reached by stacking two [[81/64]] major thirds. The Medieval music theorist {{w|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 [[9/8|(Pythagorean whole) tones (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 == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Pythagorean tuning]] | * [[Pythagorean tuning]] | ||
== Notes == | |||
[[Category:Fifth]] | [[Category:Fifth]] | ||
[[Category:Augmented fifth]] | [[Category:Augmented fifth]] | ||
Latest revision as of 08:06, 24 June 2024
| Interval information |
tetratone
reduced harmonic
The Pythagorean augmented fifth, 6561/4096, may be reached by stacking two 81/64 major thirds. The Medieval music theorist Jacques de Liège referred to it as the tetratone (akin to the ditone and tritone), as it may be reached by stacking four (Pythagorean whole) tones (9/8), and he considered it highly discordant.[1] It differs from 8/5 by the schisma, and from 3/2 by the apotome.
See also
Notes
- ↑ Pythagorean Tuning and Medieval Polyphony, Margo Schulter, 10 June 1998