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2021

Generation of musical patterns through operads

Giraudo, Samuele

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We introduce the notion of multi-pattern, a combinatorial abstraction of polyphonic musical phrases.

The interest of this approach lies in the fact that this offers a way to compose two multi-patterns in order to produce a longer one.
This dives musical phrases into an algebraic context since the set of multi-patterns has the structure of an operad; operads being structures offering a formalization of the notion of operators and their compositions.
Seeing musical phrases as operators allows us to perform computations on phrases and admits applications in generative music: given a set of short patterns, we propose various algorithms to randomly generate a new and longer phrase inspired by the inputted patterns.

Generation of musical patterns through operads · Around

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Using Generative Grammars for Music Composition
S. R. Holtzman · 1981
Earlier work this paper cites.
Introduction to Automata Theory, Languages, and Computation
J. E. Hopcroft, R. Matwani, and J. D. Ullman · 2006
Earlier work this paper cites.
A genetic algorithm for composing music
D. Matić · 2010
Earlier work this paper cites.
Combinatorial operads from monoids
S. Giraudo · 2015
Earlier work this paper cites.

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