27/16: Difference between revisions

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| Name = Pythagorean major sixth
| Name = Pythagorean major sixth
| Color name = w6, wa 6th
| Color name = w6, wa 6th
| FJS name = M6
| Sound = jid_27_16_pluck_adu_dr220.mp3
| Sound = jid_27_16_pluck_adu_dr220.mp3
}}
}}


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]].  


== 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]]


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


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

Revision as of 04:12, 13 March 2021

Interval information
Ratio 27/16
Factorization 2-4 × 33
Monzo [-4 3
Size in cents 905.865¢
Name Pythagorean major sixth
Color name w6, wa 6th
FJS name [math]\displaystyle{ \text{M6} }[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 8.75489
Weil height (log2 max(n, d)) 9.50978
Wilson height (sopfr(nd)) 17

[sound info]
Open this interval in xen-calc

The Pythagorean major sixth, 27/16, may be reached by stacking three perfect fifths (3/2) and reducing by one octave.

See also