Neji: Difference between revisions

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m Approaches to neji construction: add clarificatory info about a subtlety to do with when a neji is a detemper or not
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=== Detempering ===
=== Detempering ===
A more structural, ([[JI subgroup]]) lattice-based approach is [[detempering]]. Detempering entails that the neji has the property of being [[epimorphic]] (obeys the appropriate mapping logic) with respect to a temperament for a tempered scale, equal-division or otherwise.
A more structural, ([[JI subgroup]]) lattice-based approach is [[detempering]]. Detempering entails that the neji has the property of being [[epimorphic]] (obeys the appropriate mapping logic) with respect to a temperament for a tempered scale, equal-division or otherwise. Importantly and nontrivially, this is stricter than merely requiring that the target scale has a ''scale logic'' (that is, a ''[[mapping]]''), as the neji may approximate the target scale without following its associated mapping! (And as aforementioned, the target scale is not ''required'' to have a mapping, although in many cases it does.)


=== As harmonic segment subsets ===
=== As harmonic segment subsets ===