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A categorial grammar for music and its use in automatic melody generation

Published: 09 September 2017 Publication History

Abstract

Like natural language, music can be described as being composed of various parts, which combine together to form a set-theoretic or logical entity. The conceptualized parts are more basic than the music seen on a page; they are the musical objects subject to music-theoretic analysis, and can be described using the language of functional programming and lambda calculus. This paper introduces the types of musical objects seen in tonal and modern music, as well as the combinators that allow them to combine to create other musical objects. We propose a method for automatically generating melodies by searching for combinations of musical objects which together produce a valid program corresponding to a melody or set of melodies.

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Bartel, Dietrich. (1997). Musica Poetica. University of Nebraska Press.
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Gillibert, Jean and Retore, Christian. (2014). Category Theory, Logic and Formal Linguistics: Some Connections, Old and New. Journal of Applied Logic Vol 12, No 1, pp 1-13.
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Quick, Donya and Hudak, Paul. (2013). Grammar Based Automated Music Composition in Haskell. Proceedings of the first ACM SIGPLAN workshop on Functional art, music, modeling and design, pp 59-70.
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Montague, Richard. (1970). .Universal grammar. Theoria 36, 373-398. (reprinted in Thomason, 1974)
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Cited By

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  • (2019)Melody Extraction and Encoding Method for Generating Healthcare Music AutomaticallyElectronics10.3390/electronics81112508:11(1250)Online publication date: 31-Oct-2019

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    cover image ACM Conferences
    FARM 2017: Proceedings of the 5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design
    September 2017
    51 pages
    ISBN:9781450351805
    DOI:10.1145/3122938
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 09 September 2017

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    Author Tags

    1. automatic music
    2. categorial grammar
    3. music generation

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    • (2019)Melody Extraction and Encoding Method for Generating Healthcare Music AutomaticallyElectronics10.3390/electronics81112508:11(1250)Online publication date: 31-Oct-2019

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