Neji: Difference between revisions

Line 26:

One might choose a low harmonic series segment and select notes therefrom in order to build a neji with extra concordance.

This distinction is more process-based than formalized~~, in that~~ the pool of intervals is chosen to be a specific harmonic series segment, before notes are selected from it. ~~This~~ is ~~because~~ any JI scale ~~occurs as some~~ (~~possibly very high~~) ~~harmonic series segment~~.

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:

: If you focus on choosing intervals as representing different notes of your target ''without regard'' for the growing size of the implied denominator, then the denominator will often grow ''rapidly'' to absurd numbers, ''especially'' if you are repeatedly stacking the same interval to reach some of the notes.

Technically, this is a simplification of the observation, as you can take any incomplete harmodal neji and add some intervals that are "awkward" w.r.t the denominator to complete it and thus increase the denominator massively, but the scale will overall likely still sound pretty coherent, ''especially'' if those intervals simplify w.r.t other intervals of interest to the composer, so it is rather the spirit of the observation that your notes of interest should cohere with each-other within reason and that where they don't should ideally be intentional harmonic tensions in the scale accessible for musical use. This logic also shows why the line between [[neji]]s (in the general sense) and harmodal nejis (defined below) is even more "fuzzy" than one might initially think.

==== Harmodal nejis ====

@@ Line 26: / Line 26: @@
 One might choose a low harmonic series segment and select notes therefrom in order to build a neji with extra concordance.
-This distinction is more process-based than formalized, in that the pool of intervals is chosen to be a specific harmonic series segment, before notes are selected from it. This is because any JI scale occurs as some (possibly very high) harmonic series segment.
+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:
+: If you focus on choosing intervals as representing different notes of your target ''without regard'' for the growing size of the implied denominator, then the denominator will often grow ''rapidly'' to absurd numbers, ''especially'' if you are repeatedly stacking the same interval to reach some of the notes.
+Technically, this is a simplification of the observation, as you can take any incomplete harmodal neji and add some intervals that are "awkward" w.r.t the denominator to complete it and thus increase the denominator massively, but the scale will overall likely still sound pretty coherent, ''especially'' if those intervals simplify w.r.t other intervals of interest to the composer, so it is rather the spirit of the observation that your notes of interest should cohere with each-other within reason and that where they don't should ideally be intentional harmonic tensions in the scale accessible for musical use. This logic also shows why the line between [[neji]]s (in the general sense) and harmodal nejis (defined below) is even more "fuzzy" than one might initially think.
 ==== Harmodal nejis ====