31edo: Difference between revisions

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31edo's 5\31 neutral third generator generates [[3L 4s|mosh]] and [[7L 3s|dicoid]] MOSes. Its 12\31 generator generates an [[oneirotonic]] scale, similar to the 5L 3s scale in [[13edo]] but with the 9/8 and 5/4 better in tune.
31edo's 5\31 neutral third generator generates [[3L 4s|mosh]] and [[7L 3s|dicoid]] MOSes. Its 12\31 generator generates an [[oneirotonic]] scale, similar to the 5L 3s scale in [[13edo]] but with the 9/8 and 5/4 better in tune.


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]]. [[Zhea Erose]]'s 31edo music uses this 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.  


31edo is the 11th [[prime numbers|prime]] edo, following [[29edo]] and coming before [[37edo]].
31edo is the 11th [[prime numbers|prime]] edo, following [[29edo]] and coming before [[37edo]].