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. | 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 == | ||
Revision as of 21:30, 23 June 2024
| Interval information |
tetratone
reduced harmonic
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 tritone), as it may be reached by stacking four (Pythagorean whole) tones (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.