Cognitive Constraints on Compositional Systems information
Essay by Fred Lerdahl
"Cognitive Constraints on Compositional Systems" is an essay by Fred Lerdahl that cites Pierre Boulez's Le Marteau sans maître (1955) as an example of "a huge gap between compositional system and cognized result," though he "could have illustrated just as well with works by Milton Babbitt, Elliott Carter, Luigi Nono, Karlheinz Stockhausen, or Iannis Xenakis". (In semiological terms, this is a gap between the esthesic and poietic processes.) To explain this gap, and in hopes of bridging it, Lerdahl proposes the concept of a musical grammar, "a limited set of rules that can generate indefinitely large sets of musical events and/or their structural descriptions". He divides this further into compositional grammar and listening grammar, the latter being one "more or less unconsciously employed by auditors, that generates mental representations of the music". He divides the former into natural and artificial compositional grammars. While the two have historically been fruitfully mixed, a natural grammar arises spontaneously in a culture while an artificial one is a conscious invention of an individual or group in a culture; the gap can arise only between listening grammar and artificial grammars. To begin to understand the listening grammar, Lerdahl and Ray Jackendoff created a theory of musical cognition, A Generative Theory of Tonal Music (1983; ISBN 0-262-62107-X). That theory is outlined in the essay.
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MIT Press. ISBN 9780262120944. Lerdahl, Fred (1992). "CognitiveConstraintsonCompositionalSystems". Contemporary Music Review. 6 (2): 97–121. CiteSeerX 10...
classes on a large scale ("global macroharmonic profiles"). Cf. harmonic rhythm. chroma feature or chromagram Fred Lerdahl's CognitiveConstraintson Compositional...
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Music Review 3, no. 2. p. 65–87. Lerdahl, Fred (1992). "CognitiveConstraintsonCompositionalSystems". Contemporary Music Review 6, no. 2, p. 97–121. Lerdahl...
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is useful when modeling mechanical systems with complicated constraints. Many of the concepts in dynamical systems can be extended to infinite-dimensional...
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