625/512: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = (lesser) | | Name = (lesser) pental neutral third, tetraptolemaic double-augmented second | ||
| Color name = laquadyo 2nd, Ly | | Color name = laquadyo 2nd, Ly<sup>4</sup>2 | ||
| Sound = audacity_pluck_625_512.wav | | Sound = audacity_pluck_625_512.wav | ||
}} | }} | ||
'''625/512''', the '''(lesser) | '''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: | |||
== See also == | |||
* [[768/625]] – its [[fifth complement]] | |||
* [[24edo]] | |||
* [[Iceface tuning]] | |||
[[Category:Third]] | |||
[[Category:Second]] | |||
[[Category:Neutral third]] | |||
[[Category:Augmented second]] | |||
Latest revision as of 04:09, 8 November 2024
| Interval information |
tetraptolemaic double-augmented second
reduced harmonic
[sound info]
625/512, the (lesser) pental neutral third or tetraptolemaic double-augmented second is a 5-limit interval of about 345.3 cents. It is flat of the Pythagorean double-augmented second by four syntonic commas. Equivalently, it is equal to an octave-reduced stack of four classical major thirds, or a classical major third minus a 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.