Neji
A neji (pronounced /nɛdʒi/ "nedgy"; for "near-equal JI") is a circulating temperament which approximates an EDO by rational intervals, specifically by taking directly from a mode of the harmonic series.
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 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 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.