Epimorphic scale: Difference between revisions

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	A JI scale is '''epimorphic''' if on the JI subgroup ''A'' generated by the ~~scale~~'~~s intervals~~, there exists a linear map, called an '''epimorphism''' or '''epimorphic val''', ''v'': ''A'' → ℤ such that ''v''(''S''[''i'']) = ''i''.		A JI scale ''S'' is '''epimorphic''' if on the JI subgroup ''A'' generated by the intervals of ''S'', there exists a linear map, called an '''epimorphism''' or '''epimorphic val''', ''v'': ''A'' → ℤ such that ''v''(''S''[''i'']) = ''i''.

	An '''epimorphic temperament''' of an epimorphic scale ''S'' on a JI group ''A'' is a temperament supported by its epimorphic val on ''A''. Some [[exotemperament]]s (including vals for small edos) can be used as epimorphic temperaments for small epimorphic scales:		An '''epimorphic temperament''' of an epimorphic scale ''S'' on a JI group ''A'' is a temperament supported by its epimorphic val on ''A''. Some [[exotemperament]]s (including vals for small edos) can be used as epimorphic temperaments for small epimorphic scales: