French composer Pierre Boulez first introduced the concepts of smooth and striated space-time in his musical oeuvre. Later, Deleuze and Guattari further developed these musical theories, applying them to a wide range of non-musical purposes throughout their philosophical works, particularly in the homonymous chapter (plateau) included in A Thousand Plateaus: Capitalism and Schizophrenia (1987). However, the question that arises from these concepts is how these two systems communicate, transform, and alternate and at the same time remain different without becoming the same (Deleuze).
This paper seeks to explore a third milieu, adjacent to the smooth-striated that would allow the perception of the communication, transformation, and exchange processes between these two heterogeneous systems: the fixed space-time, which was also introduced by Boulez and later analysed in more depth by Deleuze, particularly in his essay “Boulez, Proust and Time: ‘Occupying without Counting’” (1986).
The methodology used for this research involves the creation of a series of drawings and diagrams using analogical and digital techniques with the aim of further exploring these ideas. Moreover, this paper argues that there is a strong relation between the functions of the fixed time-space and Deleuzian diagrams (drawing/graph/map). Furthermore, these diagrams would operate beneath the smooth and the striated and they could connect these two heterogeneous systems as the fixed space-time would do. Consequently, the fixed-diagram would function within a multiplicity, as a multi-linear system of conceptual diagonals that introduce a particular type of temporal homeostasis on the system, which would not alter the functions assigned to the individual assemblages of the smooth-striated.
Finally, the outcomes of the research have resulted in a series of maps, plans, landmarks, and itineraries that function as traces in the process of becoming involved in the interaction between the smooth-striated and the fixed space-time.