125/96: Difference between revisions

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125/96 is the pythagorean augmented third flattened by 3 syntonic commas, not sharpened
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = classic(al) augmented third, triptolemaic augmented third
| Ratio = 125/96
| Color name = y<sup>3</sup>3, triyo 3rd
| Monzo = -5 -1 3
| Cents = 456.98614
| Name = classic augmented third
| Color name =  
| FJS name = A3<sup>125</sup>
| Sound =
}}
}}
'''125/96''', the '''classic augmented third''', is a [[5-limit]] just interval of about 457 [[cent]].
'''125/96''', the '''classic(al) augmented third''' or '''triptolemaic augmented third''', is a [[5-limit]] just interval of about 457 [[cent]]s. It differs from the classic major third [[5/4]] by [[25/24]] and from [[13/10]] by [[625/624]]. It is also the Pythagorean augmented third (177147/131072) flattened by three [[81/80|syntonic commas]], which lends itself to the term ''triptolemaic''.  


== See also ==
== See also ==
* [[192/125]] – its [[octave complement]]
* [[192/125]] – its [[octave complement]]
* [[144/125]] – its [[fifth complement]]
* [[144/125]] – its [[fifth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:5-limit]]
[[Category:Interval ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Augmented third]]
[[Category:Augmented third]]
[[Category:Interseptimal]]
[[Category:Interseptimal intervals]]
 
[[Category:Todo:improve synopsis]]
[[Category:Todo:expand]]