59049/32768: Difference between revisions

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 {{Infobox Interval
-| Name = 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 '''pentatone''', 59049/32768, is the interval found by stacking five (Pythagorean whole) [[tone]]s ([[9/8]]). The Medieval music theorist 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 ==
+* [[32768/19683]] – its [[twelfth complement]]
+* [[65536/59049]] — its [[octave complement]]
+== Notes ==