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User:Moremajorthanmajor/Well tempered nonet

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Revision as of 17:18, 31 May 2021 by Moremajorthanmajor (talk | contribs)

A well tempered nonet is a kind of nonoctave scale created by Joseph Ruhf. They repeat at an interval around the 1300-1500 cent range and their optimal tunings target the nonet of a Kartvelian scale.

As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were just scales of the same rank as their cardinality. For example, one may make a well temperament from a nonet by taking m edf alternating with m equal divisions of an (n edo) interval between 600 and 800 cents though an interval very close to 600 or 800 cents is going to make a well temperament sounding little like a nonet. Each tone of m edf in such a well temperament will have a unique fifth either above or below it.

Individual pages for WTNs

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