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).
Read more about this topic: Set Theory (music)
Famous quotes containing the word relation:
“A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of govt as beyond its control, of itself as wholly controlled by govt. Somewhere in between and in gradations is the group that has the sense that govt exists for it, and shapes its consciousness accordingly.”
—Lionel Trilling (19051975)