31edo: Difference between revisions
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* A chain of 5\31 whole tones is exceptionally rich in 4:5:7 chords. | * A chain of 5\31 whole tones is exceptionally rich in 4:5:7 chords. | ||
* If you're fond of orwell tetrads (which are also found in 31edo's oneirotonic), you will like the 7\31 (271.0¢) subminor third generator. The [[Step ratio|ultrasoft]] 9-tone orwelloid ([[4L 5s]]) MOS could be treated as a 9-tone well temperament. | * If you're fond of orwell tetrads (which are also found in 31edo's oneirotonic), you will like the 7\31 (271.0¢) subminor third generator. The [[Step ratio|ultrasoft]] 9-tone orwelloid ([[4L 5s]]) MOS could be treated as a 9-tone well temperament. | ||
* It supports | * It supports [[6edf]] (miracle) and [[9edf]] (Carlos alpha), fifth-equivalent equal temperaments that hit many good JI approximations. | ||
One step of 31edo, measuring about 38.7¢, is called a [[diesis]] because it stands in for several intervals called "dieses" (such as [[128/125]] and [[648/625]]) which are tempered out in [[12edo]]. The diesis is a defining sound of 31edo; when it does not appear directly in a scale, it often shows up as the difference between two or more intervals of a similar size. The diesis is demonstrated in [[SpiralProgressions]]. [[Zhea Erose]]'s 31edo music uses the interval frequently. | One step of 31edo, measuring about 38.7¢, is called a [[diesis]] because it stands in for several intervals called "dieses" (such as [[128/125]] and [[648/625]]) which are tempered out in [[12edo]]. The diesis is a defining sound of 31edo; when it does not appear directly in a scale, it often shows up as the difference between two or more intervals of a similar size. The diesis is demonstrated in [[SpiralProgressions]]. [[Zhea Erose]]'s 31edo music uses the interval frequently. | ||