Set Theory (music) - Equivalence Relation

Equivalence Relation

"For a relation in set S to be an equivalence relation, it has to satisfy three conditions: it has to be reflexive, symmetrical, and transitive ."(Schuijer 2008, p.29-30) "Indeed, an informal notion of equivalence has always been part of music theory and analysis. PC set theory, however, has adhered to formal definitions of equivalence" (Schuijer 2008, 85).

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