# Neji

A **neji** (pronounced /nɛdʒi/ "nedgy"; for "near-equal JI") is a circulating temperament which approximates an EDO with a subset of a mode of the harmonic series. It is often informally used for the 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.

## Vs. detempering

Nejis are a specific type of detempering. Detempering in general does not require the rational pitch replacements to all be part of the same harmonic series.