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)
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“Art should exhilarate, and throw down the walls of circumstance on every side, awakening in the beholder the same sense of universal relation and power which the work evinced in the artist, and its highest effect is to make new artists.”
—Ralph Waldo Emerson (1803–1882)