Neji: Difference between revisions

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Nejis are a superset of both [[detempering]] and edo nemis. Unlike detempering, a neji or a nemi need not imply a [[mapping]].  
Nejis are a superset of both [[detempering]] and edo nemis. Unlike detempering, a neji or a nemi need not imply a [[mapping]].  


Nemis are defined via intention rather than a mathematical definition, since any periodic JI scale is a subset of some (possibly very high) harmonic series segment. Nemis require the rational pitch replacements to all be selected from a ''chosen'' harmonic series mode. This is not compulsory for detempered edos or nejis in general.
Nemis are defined via intention rather than a mathematical definition, due to the fuzziness of "near-equal/equivaalent" (which the term ''neji'' shares) and since any periodic JI scale is a subset of some (possibly very high) harmonic series segment. Nemis require the rational pitch replacements to all be selected from a ''chosen'' harmonic series mode. This is not compulsory for detempered edos or nejis in general.


Nejis and nemis are compatible with [[regular temperament theory]] if they are treated as working in the concrete tuning layer of temperaments.
Nejis and nemis are compatible with [[regular temperament theory]] if they are treated as working in the concrete tuning layer of temperaments.