625/512: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Name = (lesser) 5-limit neutral third
| Name = (lesser) pental neutral third, tetraptolemaic double-augmented second
| Color name = laquadyo 2nd, Ly^42
| Color name = laquadyo 2nd, Ly<sup>4</sup>2
| Comma = n
| Sound = audacity_pluck_625_512.wav
| Sound = audacity_pluck_625_512.wav
}}
}}
'''625/512''', the '''(lesser) 5-limit neutral third''' is a [[128/125|diesis]] flat of [[5/4]] and [[5632/5625]] flat of [[11/9]].
'''625/512''', the '''(lesser) pental neutral third''' or '''tetraptolemaic double-augmented second''' is a [[5-limit]] [[interval]] of about 345.3 [[cent]]s. It is flat of the Pythagorean double-augmented second by four [[syntonic comma]]s. Equivalently, it is equal to an [[octave reduction|octave-reduced]] stack of four [[5/4|classical major thirds]], or a classical major third minus a [[128/125|diesis]]. In the 11-limit it is [[5632/5625]] flat of [[11/9]]; in the 13-limit it is [[625/624]] sharp of [[39/32]].
[[Category:Stub]]
 
== See also ==
* [[768/625]] – its [[fifth complement]]
* [[24edo]]
* [[Iceface tuning]]
 
[[Category:Third]]
[[Category:Second]]
[[Category:Neutral third]]
[[Category:Augmented second]]