Building Topological Spaces for Musical Objects

cote interne IRCAM: Bigo11cNone / NoneNational audienceThe 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