Glossary of scale properties: Difference between revisions
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* '''Weak epimorphism''': A scale is weakly epimorphic if, under some val, all scale degrees are "filled," no matter which note you choose as the tonic. | * '''Weak epimorphism''': A scale is weakly epimorphic if, under some val, all scale degrees are "filled," no matter which note you choose as the tonic. | ||
* '''Epimorphism''': A weakly epimorphic scale is epimorphic if it keeps rising in pitch as you go to higher scale degrees – the (n + 1)st degree is higher than the nth degree. | * '''Epimorphism''': A weakly epimorphic scale is epimorphic if it keeps rising in pitch as you go to higher scale degrees – the (n + 1)st degree is higher than the nth degree. | ||
* '''Epimorph val/temperament''': A val that witnesses that a scale is epimorphic is called the ''epimorph val'' of the scale, and a temperament supported by an epimorph val is an ''epimorph temperament''. Many low-accuracy edos and temperaments are useful as epimorph vals and temperaments. | * '''Epimorph val/temperament''': A val that witnesses that a scale is epimorphic is called the ''epimorph val'' of the scale, and a temperament supported by an epimorph val is an ''epimorph temperament''. Many low-accuracy edos and temperaments are useful as epimorph vals and temperaments; a CS scale may be constructed as a detempering of the low-accuracy scales implied by such temperaments. | ||
; Symmetry | ; Symmetry | ||