Tetracot (temperament): Difference between revisions

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== Extensions ==
== Extensions ==
Tetracot has a number of extensions, but most of them are problematic in some way.
Tetracot has a number of extensions, but most of them are problematic in some way. Prime 13 can be added by equating (10/9)^2 (the neutral third) with 16/13. Prime 11 is often added by equating (10/9)^2 with 11/9, but this is quedtionable because it produces either a very sharp 11/8 or a flat 5/4.


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{{Cat|temperaments}}
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Revision as of 21:34, 24 February 2026

Tetracot is a 2.3.5 temperament that splits 3/2 into four flattened 10/9's. Its 5-limit edo join is 27 & 34.

Extensions

Tetracot has a number of extensions, but most of them are problematic in some way. Prime 13 can be added by equating (10/9)^2 (the neutral third) with 16/13. Prime 11 is often added by equating (10/9)^2 with 11/9, but this is quedtionable because it produces either a very sharp 11/8 or a flat 5/4.