125/96: Difference between revisions

Fredg999 category edits (talk | contribs)
+name and explain the idea behind them
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{{Infobox Interval
{{Infobox Interval
| Name = classic augmented third
| Name = classic(al) augmented third, triptolemaic augmented third
| Color name = y<sup>3</sup>3, triyo 3rd
| Color name = y<sup>3</sup>3, triyo 3rd
}}
}}
'''125/96''', the '''classic 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 [[13/10]] by [[625/624]].
'''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) sharpened by three 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]]
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[[Category:Augmented third]]
[[Category:Augmented third]]
[[Category:Interseptimal intervals]]
[[Category:Interseptimal intervals]]
{{todo|improve synopsis|expand}}