Redundancies in the communication of music: An operationalization of Schutz's 'Making Music Together'

We elaborate Alfred Schutz's theory of musical communication empirically. Our technique for analysing musical communication aligns Schutz's sociological theory with the mathematics of anticipatory systems. Music, we argue, can be considered as an anticipatory system that articulates through its diachronic unfolding, fundamental symmetries which can be traced back to its initial moments. Following Bohm and Dubois, we argue that these symmetries are present in fractal structures that gradually increase in definition as the music progresses. Critically, we focus on the role of redundancy in this process of providing increasing definition. By analysing the entropy of musical data, we show how graphs of relative entropies can be produced from which a fractal is constructed. In arguing that coherence in music can be established through the alignment of self-similar patterns, the connection between Dubois's anticipatory systems and Schutz's characterization of the dimensions of musical communication shows how redundancy underlies musical coherence.