Neji: Difference between revisions
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== In primodality == | == 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 that 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 that 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. | ||
== History == | == History == | ||
The concept behind neji is probably first proposed by [[George Secor]] in 2002<ref>[http://www.anaphoria.com/secor-blarney.html GEORGE SECOR - A BIT O' BLARNEY]</ref>, where he called it a '''quasi-equal rational tuning'''. | The concept behind neji is probably first proposed by [[George Secor]] in 2002<ref>[http://www.anaphoria.com/secor-blarney.html GEORGE SECOR - A BIT O' BLARNEY]</ref>, where he called it a '''quasi-equal rational tuning'''. | ||
The idea has also been suggested by [[Paul Erlich]] and a feature to produce them has existed in [[Scala]] for generating them since some time in the 1990's. | The idea has also been suggested by [[Paul Erlich]] and a feature to produce them has existed in [[Scala]] for generating them since some time in the 1990's. | ||
== Versus detempering == | |||
Nejis are distinct from [[detempering]]. Unlike detempering, a neji need not imply a [[mapping]]. Meanwhile, detempering in general does not require the rational pitch replacements to all be part of the same harmonic series. Nejis are compatible with [[regular temperament theory]] if they are treated as working in the concrete tuning layer of temperaments. | |||
== | |||
Nejis are a | |||
== See also == | == See also == | ||
* [[Overtone scale]] | * [[Overtone scale]] | ||
* [[NEJI Tables]] | * [[NEJI Tables]] | ||
== Notes == | |||
<references /> | |||
[[Category:Theory]] | [[Category:Theory]] | ||
Revision as of 13:05, 30 January 2023
A neji (pronounced /nɛdʒi/ "nedgy"; for "near-equal JI") is a circulating temperament which approximates an equal tuning dividing a JI equave with a subset of a mode of the harmonic series. It is often informally used for a harmonic series approximation of any non-JI scale, e.g. "neji Lydian".
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 that 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.
History
The concept behind neji is probably first proposed by George Secor in 2002[1], where he called it a quasi-equal rational tuning.
The idea has also been suggested by Paul Erlich and a feature to produce them has existed in Scala for generating them since some time in the 1990's.
Versus detempering
Nejis are distinct from detempering. Unlike detempering, a neji need not imply a mapping. Meanwhile, detempering in general does not require the rational pitch replacements to all be part of the same harmonic series. Nejis are compatible with regular temperament theory if they are treated as working in the concrete tuning layer of temperaments.