Building topological spaces for musical objects

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