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Topic: Tonal theory

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	Musical_set_theory
		Set theory deals with collections of pitches and pitch classes, which may be ordered or unordered, and which can be related by musical operations such as transposition, inversion, and complementation.
		Although musical set theory is often thought to involve the application of mathematical set theory to music, there are numerous differences between the methods and terminology of the two.
		Musical set theory is therefore best regarded as an unrelated field from mathematical set theory, with its own vocabulary, whose main connection to mathematical set theory is the use of naive set theory to talk about finite sets.
	www.brainyencyclopedia.com /encyclopedia/m/mu/musical_set_theory.html (1652 words)

	Musical set theory - Facts, Information, and Encyclopedia Reference article
		Musical set theory is an atonal or post-tonal method of musical analysis and composition which is based on explaining and proving musical phenomena, taken as "sets" and subsets, using mathematical rules and notation and using that information to gain insight to compositions or their creation.
		Although musical set theory is often assumed to be the application of mathematical set theory to music, there is little coincidence between the terminology and even less between the methods of the two.
		Set theory does not, however, use diatonic functionality that is assumed in tonal theory, and this is the reason for the use of integer notation and modulo 12.
	www.startsurfing.com /encyclopedia/m/u/s/Musical_set_theory.html (1427 words)

	Set theory (music) - Wikipedia, the free encyclopedia
		Musical set theory deals with collections of pitches and pitch classes, which may be ordered or unordered, and which can be related by musical operations such as transposition, inversion, and complementation.
		Although musical set theory is often thought to involve the application of mathematical set theory to music, there are numerous differences between the methods and terminology of the two, and between typical mathematical terminology and the terms used in musical set theory more generally.
		Musical set theory is therefore best regarded as a field that is unrelated to mathematical set theory, and is instead an application of combinatorics to music theory but with its own vocabulary, whose main connection to mathematical set theory is the use of the vocabulary of set theory to talk about finite sets.
	en.wikipedia.org /wiki/Musical_set_theory (1630 words)

	art : A Generative Theory of Tonal Music (Site not responding. Last check: 2007-10-23)
		The point of departure is a search for a grammar of music with the aid of generative linguistics.
		The theory, which is illustrated with numerous examples from Western classical music, relates the aural surface of a piece to the musical structure unconsciously inferred by the experienced listener.
		From the viewpoint of traditional music theory, it offers many innovations in notation as well as in the substance of rhythmic and reductional theory.
	bookstore.bestartbooks.us /n_026262107X.htm (3418 words)

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