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Toward Construction of a Timbre Theory for Music Composition

Since the 20 century, timbre has become an important factor in music composition. However, no effective timbre theory for music composition has been yet developed. In this paper, firstly standpoints are described for previous timbre theories. Then the requirements for a new timbre theory are discussed: 1) How timbre should be categorized, 2) hierarchical structure and its self-similar representation, 3) extension of previous timbre (music) representation, 4) discrimination of embedded and exposed structure, and 5) definition of operation and grammatical