625/384: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = (smaller) pental neutral sixth, tetraptolemaic double-augmented fifth | | Name = (smaller) pental neutral sixth, tetraptolemaic double-augmented fifth | ||
| Color name = y<sup>4</sup>5, quadyo 5th | |||
}} | }} | ||
'''625/384''', the '''(smaller) pental neutral sixth''' or '''tetraptolemaic double-augmented fifth''' is a [[5-limit]] [[interval]] of about 843.3 [[cent]]s. It is flat of the Pythagorean double-augmented fifth by four [[81/80|syntonic comma]]s. Equivalently, it is equal to an [[octave reduction|octave-reduced]] stack of four [[5/4|classical major thirds]] minus a [[3/2|fifth]], or equal to a [[5/3|classical major third]] minus a [[128/125|diesis]]. In the 11-limit it is 6912/6875 flat of [[18/11]], and [[5632/5625]] flat of [[44/27]]. In the 13-limit it is [[625/624]] sharp of [[13/8]]. | '''625/384''', the '''(smaller) pental neutral sixth''' or '''tetraptolemaic double-augmented fifth''' is a [[5-limit]] [[interval]] of about 843.3 [[cent]]s. It is flat of the Pythagorean double-augmented fifth by four [[81/80|syntonic comma]]s. Equivalently, it is equal to an [[octave reduction|octave-reduced]] stack of four [[5/4|classical major thirds]] minus a [[3/2|fifth]], or equal to a [[5/3|classical major third]] minus a [[128/125|diesis]]. In the 11-limit it is 6912/6875 flat of [[18/11]], and [[5632/5625]] flat of [[44/27]]. In the 13-limit it is [[625/624]] sharp of [[13/8]]. | ||
Latest revision as of 21:51, 8 October 2024
| Interval information |
tetraptolemaic double-augmented fifth
625/384, the (smaller) pental neutral sixth or tetraptolemaic double-augmented fifth is a 5-limit interval of about 843.3 cents. It is flat of the Pythagorean double-augmented fifth by four syntonic commas. Equivalently, it is equal to an octave-reduced stack of four classical major thirds minus a fifth, or equal to a classical major third minus a diesis. In the 11-limit it is 6912/6875 flat of 18/11, and 5632/5625 flat of 44/27. In the 13-limit it is 625/624 sharp of 13/8.
See also
- 768/625 – its octave complement