6561/4096: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Pythagorean augmented fifth, tetratone | |||
| Color name = Lw5, lawa 5th | |||
| Name = Pythagorean augmented fifth | |||
| Color name = | |||
}} | }} | ||
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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* [[Pythagorean tuning]] | * [[Pythagorean tuning]] | ||
== Notes == | |||
[[Category: | [[Category:Fifth]] | ||
[[Category: | [[Category:Augmented fifth]] | ||
Latest revision as of 11:52, 27 September 2025
| 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