768/625: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = (greater) | | Name = (greater) pental neutral third, tetraptolemaic double-diminished fourth | ||
| Color name = quadgu 4th, g^44 | | Color name = quadgu 4th, g^44 | ||
| Sound = audacity_pluck_768_625.wav | | Sound = audacity_pluck_768_625.wav | ||
}} | }} | ||
'''768/625''', the '''(greater) | '''768/625''', the '''(greater) pental neutral third''' or '''tetraptolemaic double-diminished fourth''' is a [[5-limit]] [[interval]] of about 356.7 [[cent]]s. It is sharp of the Pythagorean double-diminished fourth by four [[81/80|syntonic comma]]s. Equivalently, it is equal to a [[3/2|fifth]] minus an [[octave reduction|octave-reduced]] stack of four [[5/4|classical major thirds]], or equal to a [[6/5|classical minor third]] plus a [[128/125|diesis]]. In the 11-limit it is 6912/6875 sharp of [[11/9]], and [[5632/5625]] sharp of [[27/22]]. In the 13-limit it is [[625/624]] flat of [[16/13]]. | ||
[[Category: | == See also == | ||
* [[625/384]] – its [[octave complement]] | |||
* [[625/512]] – its [[fifth complement]] | |||
* [[24edo]] | |||
* [[Iceface tuning]] | |||
[[Category:Third]] | |||
[[Category:Fourth]] | |||
[[Category:Neutral third]] | |||
[[Category:Diminished fourth]] | |||