31edo: Difference between revisions

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* 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.

* It supports a form of [[6edf]], a fifth-equivalent equal temperament that hits 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.

@@ Line 85: / Line 85: @@
 * 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.
+* It supports a form of [[6edf]], a fifth-equivalent equal temperament that hits 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.