Neji: Difference between revisions

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== Approaches to neji construction ==

=== In primodality ===

In Zhea Erose's [[primodality]] theory, nejis can be used to explore a prime family (see [[primodality]]), while keeping the transposability, scale structures, rank-2 harmonic theory, notation, etc. associated with the target scale (usually an [[edo]]). (The neji's denominator need not be prime but primes may be preferred for sake of minimizing lower-complexity intervals. Zhea often uses semiprimes ''pq''.) Zhea Erose's theory also deals with modulations between different prime families, and combining different prime families into one scale.

In Zhea Erose's [[primodality]] theory, nejis can be used to explore a prime family (see [[primodality]]), while keeping the transposability, scale structures, rank-2 harmonic theory, notation, etc. associated with the target scale (usually an [[edo]]). (The neji's denominator need not be prime but primes may be preferred for sake of minimizing lower-complexity intervals and maximizing unique ones specific to that prime. Zhea often uses semiprimes ''pq''.) Zhea Erose's theory also deals with modulations between different prime families, and combining different prime families into one scale.

=== As harmonic segment subsets ===

Generalizing from the primodal use case of the term "neji", one might choose any relatively low harmonic series segment, ''not necessarily in a way associated with primodality'', and select notes therefrom in order to build a neji with extra [[concordance]].

Generalizing from the primodal use case of the term "neji", one might choose any relatively low [[harmonic series segment]], ''not necessarily in a way associated with primodality'', and select notes therefrom in order to build a neji with extra [[concordance]].

This distinction is more process-based than formalized (because any JI scale trivially occurs as some (possibly very high) harmonic series segment subset); sometimes the pool of intervals is chosen to be a specific "relatively not large" harmonic series segment before notes are selected from it while other times it is guessed at in some "relatively not large" range and then later revised based on what fits (or other considerations). The "relatively not large" focuses on the following key observation of Zhea's that others have agreed with as a valuable observation in the design of JI scales:

@@ Line 18: / Line 18: @@
 == Approaches to neji construction ==
 === In primodality ===
-In Zhea Erose's [[primodality]] theory, nejis can be used to explore a prime family (see [[primodality]]), while keeping the transposability, scale structures, rank-2 harmonic theory, notation, etc. associated with the target scale (usually an [[edo]]). (The neji's denominator need not be prime but primes may be preferred for sake of minimizing lower-complexity intervals. Zhea often uses semiprimes ''pq''.) Zhea Erose's theory also deals with modulations between different prime families, and combining different prime families into one scale.
+In Zhea Erose's [[primodality]] theory, nejis can be used to explore a prime family (see [[primodality]]), while keeping the transposability, scale structures, rank-2 harmonic theory, notation, etc. associated with the target scale (usually an [[edo]]). (The neji's denominator need not be prime but primes may be preferred for sake of minimizing lower-complexity intervals and maximizing unique ones specific to that prime. Zhea often uses semiprimes ''pq''.) Zhea Erose's theory also deals with modulations between different prime families, and combining different prime families into one scale.
 === As harmonic segment subsets ===
-Generalizing from the primodal use case of the term "neji", one might choose any relatively low harmonic series segment, ''not necessarily in a way associated with primodality'', and select notes therefrom in order to build a neji with extra [[concordance]].
+Generalizing from the primodal use case of the term "neji", one might choose any relatively low [[harmonic series segment]], ''not necessarily in a way associated with primodality'', and select notes therefrom in order to build a neji with extra [[concordance]].
 This distinction is more process-based than formalized (because any JI scale trivially occurs as some (possibly very high) harmonic series segment subset); sometimes the pool of intervals is chosen to be a specific "relatively not large" harmonic series segment before notes are selected from it while other times it is guessed at in some "relatively not large" range and then later revised based on what fits (or other considerations). The "relatively not large" focuses on the following key observation of Zhea's that others have agreed with as a valuable observation in the design of JI scales: