27/16: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Ratio = 27/16
| Monzo = -4 3
| Cents = 905.86500
| Name = Pythagorean major sixth
| Name = Pythagorean major sixth
| Color name = w6, wa 6th
| Color name = w6, wa 6th
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}}
}}


The '''Pythagorean major sixth''', '''27/16''', may be reached by stacking three perfect fifths ([[3/2]]) (and reducing by one octave).  
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 Just Intervals]]
* [[32/27]] – its [[octave complement]]
* [[32/27]] - its inverse interval, the Pythagorean minor third
* [[Gallery of just intervals]]
* [[Pythagorean tuning]]


[[Category:Interval]]
[[Category:Sixth]]
[[Category:Sixth]]
[[Category:Major Sixth]]
[[Category:Major sixth]]
[[Category:Pythagorean]]
[[Category:3-limit]]
[[Category:Interval ratio]]


[[Category:Todo:expand]]
{{todo| expand }}