Building Topological Spaces for Musical Objects

Louis Bigo 1 Jean-Louis Giavitto 1 Antoine Spicher 1
1 Repmus - Représentations musicales
STMS - Sciences et Technologies de la Musique et du Son
Abstract : The development of spatial representations of musical ob- jects allows for a reformulation of algorithmic problems arising in musi- cal theory, fosters novel classifications and provides new computational tools. In this paper, we show how a topological representation for n-note chords associated with the degrees of the diatonic scale and for the All- Interval Series (AIS) can be automatically built using MGS, a rule-based spatial programming language. Then, we suggest a new categorization for AIS based on their spatial construction.
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Louis Bigo, Jean-Louis Giavitto, Antoine Spicher. Building Topological Spaces for Musical Objects. Mathematics and Computation in Music, Jun 2011, Paris, France. pp.1-1. ⟨hal-01161290⟩

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