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This paper introduces the concept of variable-coupled iterated map networks and explores its application to generation of musical textures. Such networks consist of one or more interlinked nodes. Each node consists of an iterated map function with a time-delay factor that schedules successive iterations. The value broadcast by a node can drive the variables and time-delay factor of any other nodes in the network, including itself. Lehmer's Linear Congruence Formula, an iterated map normally used for production of pseudo-random numbers, is explored for its own potential as a pattern generator and is used as the iterated map in the nodes in the examples presented. The capacity of these networks to produce richly gestural behaviours and mid-term modulation of behaviour is demonstrated.

This chapter considers the historical lineage and conceptual origins of visual music, addressing the turn to abstraction and absolute film in visual arts, particularly in the first half of the twentieth century, and the turn to mimesis and spatialization in music, particularly through the acousmatic tradition after World War II. The chapter proposes a convergence between visual artists and musicians that prompted the former to embrace time through a shift away from mimesis toward abstraction, and the latter to adopt greater focus on space in shifting from abstraction toward mimesis. Together, these historical shifts prefigure the development of audiovisual art, revealing underlying theoretical commonalities in the articulation of time and space that suggest fundamental dynamics of theaudiovisual contractand strategies available to the visual music creator to establish a synergy of sound and image. Some of these strategies are demonstrated in two original case studies.

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