User:Inthar/Epimorphic temperament: Difference between revisions
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An '''epimorphic temperament''' of an [[epimorphic]] scale ''S'' on a JI group ''G'' is a temperament supported by its [[epimorphic val]] on ''G''. Some [[exotemperament]]s (including vals for small edos) can be used as epimorphic temperaments for small CS scales: | An '''epimorphic temperament''' of an [[epimorphic]] scale ''S'' on a JI group ''G'' is a temperament supported by its [[epimorphic val]] (linear map v: G → ℤ such that v(s[i]) = i) on ''G''. Some [[exotemperament]]s (including vals for small edos) can be used as epimorphic temperaments for small CS scales: | ||
* The 2.3.5 temperament [[dicot]] supports [[nicetone]] (3L2M2s), [[blackdye]] (5L2M3s) and superzarlino (a 17-form) scale structures. | * The 2.3.5 temperament [[dicot]] supports [[nicetone]] (3L2M2s), [[blackdye]] (5L2M3s) and superzarlino (a 17-form) scale structures. | ||
* The 2.3.7 temperament [[semaphore]] supports [[archylino]] (2L3M2s), [[diasem]] (5L2M2s), and other scales in the [[Tas series]]. | * The 2.3.7 temperament [[semaphore]] supports [[archylino]] (2L3M2s), [[diasem]] (5L2M2s), and other scales in the [[Tas series]]. | ||
Revision as of 02:32, 10 July 2023
An epimorphic temperament of an epimorphic scale S on a JI group G is a temperament supported by its epimorphic val (linear map v: G → ℤ such that v(s[i]) = i) on G. Some exotemperaments (including vals for small edos) can be used as epimorphic temperaments for small CS scales: