Elf: Difference between revisions

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An '''elf''' is a scale in a [[regular temperament]] which is tempered from a [[just intonation]] (JI) scale in the group of the temperament which is [[Periodic scale#Epimorphism|epimorphic]] via a val ''V'' for n-edo which may not be, and characteristically is not, a val supporting the temperament. This allows the elf to have more freedom in scale size and structure but still to possess the coherence induced by the epimorphic mapping.
An '''elf''' is a scale in a [[regular temperament]] which is tempered from a [[just intonation]] (JI) scale in the group of the temperament which is a one-to-one [[detempering]] of ''n''-edo via a val ''V'' which may not be, and characteristically is not, a val supporting the temperament. This allows the elf to have more freedom in scale size and structure but still to possess the coherence induced by the epimorphic mapping.


To construct an elf, the following steps are used:
To construct an elf, the following steps are used:
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