27/16: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Pythagorean major sixth | | Name = Pythagorean major sixth | ||
| Color name = w6, wa 6th | | Color name = w6, wa 6th | ||
| Line 9: | Line 5: | ||
}} | }} | ||
The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) | The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) and reducing by one [[octave]]. Compared to the more typical [[5/3]] - with which it is conflated in [[meantone]] - this interval is more [[dissonant]], with a [[harmonic entropy]] level roughly on par with that of [[6/5]]. While many musicians prefer to use 5/3 as the major sixth interval above the [[tonic]] in a [[diatonic]] context even in non-meantone settings, [[Aura]] is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes. | ||
== See also == | == See also == | ||
* [[Gallery of | * [[32/27]] – its [[octave complement]] | ||
* [[ | * [[Gallery of just intervals]] | ||
* [[Pythagorean tuning]] | |||
[[Category:Sixth]] | [[Category:Sixth]] | ||
[[Category:Major sixth]] | [[Category:Major sixth]] | ||
{{todo| expand }} | |||
Latest revision as of 07:29, 3 January 2025
| Interval information |
reduced harmonic
[sound info]
The Pythagorean major sixth, 27/16, may be reached by stacking three perfect fifths (3/2) and reducing by one octave. Compared to the more typical 5/3 - with which it is conflated in meantone - this interval is more dissonant, with a harmonic entropy level roughly on par with that of 6/5. While many musicians prefer to use 5/3 as the major sixth interval above the tonic in a diatonic context even in non-meantone settings, Aura is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.