59049/32768: Difference between revisions
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{{Infobox Interval | {{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> | |||
== See also == | |||
* [[32768/19683]] – its [[twelfth complement]] | |||
* [[65536/59049]] — its [[octave complement]] | |||
== Notes == | |||
Latest revision as of 20:05, 3 February 2026
| Interval information |
pentatone
reduced harmonic
- "Pentatone" redirects here. For systems with 5 note classes per octave, see Pentatonic.
The Pythagorean augmented sixth, otherwise known as the pentatone, 59049/32768, is the interval found by stacking five (Pythagorean whole) tones (9/8). It exceeds the classical minor seventh (9/5) by a schisma. 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.[1]
See also
- 32768/19683 – its twelfth complement
- 65536/59049 — its octave complement
Notes
- ↑ Pythagorean Tuning and Medieval Polyphony, Margo Schulter, 10 June 1998