Neji: Difference between revisions

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A '''neji''' or '''NEJI''' (pronounced /nɛdʒi/ "nedgy"; for "near-equal [[just intonation]]") is a [[circulating temperament]] which approximates an [[Equal-step tuning|equal tuning]] dividing a JI [[equave]] into JI scale steps.
A '''neji''' or '''NEJI''' (pronounced /nɛdʒi/ "nedgy"; for "near-equal [[just intonation]]") is a [[circulating temperament]] which approximates an [[Equal-step tuning|equal tuning]] dividing a JI [[equave]] into JI scale steps.


Due to the influence of Zhea Erose who originated the term, in colloquial usage ''neji'' often specifically refers to a subset of a mode of the [[harmonic series]] used to approximate an edo.
Due to the influence of Zhea Erose who originated the term, in colloquial usage ''neji'' often specifically refers to a subset of a mode of the [[harmonic series]] used to approximate an edo. To express this sense more literally, the following term has been coined: A '''nemi''' or '''NEMI''' (near-equivalent modal intonation) is a scale which approximates some non-JI scale by dividing a JI equave with a subset of a mode of the harmonic series. The term ''neji'' may informally be used for nemis, e.g. "neji Lydian".
 
To express the above sense more literally, the following term has been coined: A '''nemi''' or '''NEMI''' (near-equivalent modal intonation) is a scale which approximates some non-JI scale by dividing a JI equave with a subset of a mode of the harmonic series. The term ''neji'' may informally be used for nemis, e.g. "neji Lydian".


Nejis and nemis are both defined via intention rather than via mathematical definition. For both nejis and nemis, "near-equal/equivalent" is fuzzy; for nemis, any periodic JI scale is a subset of some (possibly very high) harmonic series segment, making "subset of some harmonic segment" mathematically trivial.
Nejis and nemis are both defined via intention rather than via mathematical definition. For both nejis and nemis, "near-equal/equivalent" is fuzzy; for nemis, any periodic JI scale is a subset of some (possibly very high) harmonic series segment, making "subset of some harmonic segment" mathematically trivial.