59049/32768: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Pythagorean augmented sixth, pentatone | | Name = Pythagorean augmented sixth, pentatone | ||
| Color name = Lw6, lawa 6th | |||
}} | }} | ||
{{Redirect|Pentatone|systems with 5 note classes per octave|Pentatonic}} | |||
The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref> | The '''Pythagorean augmented sixth''', otherwise known as the '''pentatone''', 59049/32768, is the interval found by stacking five [[9/8|(Pythagorean whole) tones (9/8)]]. It exceeds the [[9/5|classical minor seventh (9/5)]] by a [[schisma]]. The Medieval music theorist {{w|Jacobus of Liège}} described it along with the [[ditone]], [[tritone]], [[tetratone]], and [[hexatone]], and considered the pentatone to be highly discordant.<ref>''Pythagorean Tuning and Medieval Polyphony'', Margo Schulter, 10 June 1998</ref> | ||
== See also == | == See also == | ||
* [[32768/19683]] – its twelfth complement | * [[32768/19683]] – its [[twelfth complement]] | ||
* [[65536/59049]] — its [[octave complement]] | |||
== Notes == | == Notes == | ||