Neji: Difference between revisions
m →Approaches to neji construction: Choosing a low prime octave also maximizes higher complexity intervals relative to a more composite denominator; link to "harmonic series segment" which I'll redirect to a new glossary entry. |
m →As harmonic segment subsets: Linking to the glossary entry "Harmonic series segment" and to the redirect "Harmonic mode". |
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=== As harmonic segment subsets === | === 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 [[Glossary#H|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: | 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: | ||
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==== Harmodal nejis ==== | ==== Harmodal nejis ==== | ||
If the target scale has a [[period]] equal to some positive integer harmonic (like the [[octave]], [[tritave]] or [[pentave]]), a fitting name for this type of neji is a "harmodal neji", a contraction of "harmonic modal neji", making primodal nejis a type of harmodal nejis. This period is typically an octave, as that's the most common use case. '''This term is new, however; it was proposed to resolve an ambiguity in the stand-alone term "neji"''', therefore please see the directly below alternative, which may be preferred for consistency/"backwards-compatibility". | If the target scale has a [[period]] equal to some positive integer harmonic (like the [[octave]], [[tritave]] or [[pentave]]), a fitting name for this type of neji is a "harmodal neji", a contraction of "[[Harmonic mode|harmonic modal]] neji", making primodal nejis a type of harmodal nejis. This period is typically an octave, as that's the most common use case. '''This term is new, however; it was proposed to resolve an ambiguity in the stand-alone term "neji"''', therefore please see the directly below alternative, which may be preferred for consistency/"backwards-compatibility". | ||
==== Nonharmodal nejis ==== | ==== Nonharmodal nejis ==== | ||
An alternative to using the term "harmodal nejis" is to ''assume'' that a "neji" is harmodal ''by default'', and instead specify that a neji is "''nonharmodal''" only when necessary, in order to preserve the colloquial usage of the term "neji". This is consistent with the sentiment that there does not need to be a new term "harmodal neji" while retaining clarity. | An alternative to using the term "harmodal nejis" is to ''assume'' that a "neji" is harmodal ''by default'', and instead specify that a neji is "''nonharmodal''" only when necessary, in order to preserve the colloquial usage of the term "neji". This is consistent with the sentiment that there does not need to be a new term "harmodal neji" while retaining clarity. | ||