81/64: Difference between revisions

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m changed "inversion" to "octave complement"
m +FJS name; cleanup
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| Cents = 407.82000
| Cents = 407.82000
| Name = Pythagorean major third
| Name = Pythagorean major third
| Color name = Lw3, large wa 3rd  
| Color name = Lw3, large wa 3rd
| FJS name = M3
| Sound = jid_81_64_pluck_adu_dr220.mp3
| Sound = jid_81_64_pluck_adu_dr220.mp3
}}
}}


The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two octaves.
The '''Pythagorean major third''', '''81/64''', may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s.


== See also ==
== See also ==
* [[128/81]] - its [[octave complement]]
* [[128/81]] its [[octave complement]]
* [[32/27]] - its [[fifth complement]]
* [[32/27]] its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Pythagorean tuning]]
* [[Pythagorean tuning]]
* [[Gallery of just intervals]]


[[Category:3-limit]]
[[Category:3-limit]]
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[[Category:Pythagorean]]
[[Category:Pythagorean]]


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

Revision as of 04:18, 13 March 2021

Interval information
Ratio 81/64
Factorization 2-6 × 34
Monzo [-6 4
Size in cents 407.82¢
Name Pythagorean major third
Color name Lw3, large wa 3rd
FJS name [math]\displaystyle{ \text{M3} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 12.3399
Weil norm (log2 max(n, d)) 12.6797
Wilson norm (sopfr(nd)) 24

[sound info]
Open this interval in xen-calc

The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths (3/2), and reducing by two octaves.

See also