The Introduction outlines the theoretical framework, starting with a review of the existing literature on musical modernism, global musicology and related theories, including discussions of universalism, methodological nationalism, the centre versus periphery paradigm, multiple modernities, hybridity and postcolonial and decolonising approaches. It further introduces the interdisciplinary concept of ‘entangled histories’, which is illustrated with three short cases studies: the Orchesta Experimental de Instrumentos Nativos (OEIN) from Bolivia, the Bow Project from South Africa and Uwalmassa, a trio creating ‘deconstructed gamelan music’ from Jakarta, Indonesia. What unites these cases is that they are rooted in local traditions, rather than on the adoption or imposition of Western practices, although they undoubtedly respond creatively to Western ideas.

The book’s conclusion situates spectral music as a modernist musical movement. It shows how spectral music reprises many of serialism’s concerns, albeit on a more psychoacoustically accurate level. It relates the debates between Levinas and the other spectral composers to an older debate about formalism in art between Flaubert and Sand. Finally, the book concludes by situating Grisey as the founder of spectral music.

By the end of the 1970s, the spectral composers were being invited to speak at the Darmstadt Summer Courses and were enjoying favourable press coverage in France. Recognising the need for a common epithet for their musical movement, they discussed a few possibilities: ’spectral’, ’liminal’, and ’vectorial’. This chapter explores, in turn, Dufourt’s concept of spectral music, which signified a compositional approach recognising and drawing on the microscopic scale of sound as the composer’s true material; Murail’s more technical vision of spectral music, and how, at IRCAM from the beginning of the 1980s, beginning with the electroacoustic work Désintégrations, Murail developed a sophisticated music drawing on computational resources; and Grisey’s notion of écriture liminale, a psychoacoustics-informed approach to compositional writing based on blurred statistical parameters and musical mutation. The chapter ends by detailing how the Darmstadt Summer Courses in 1982, at which the composers of l’Itinéraire gave a joint seminar, were the end of their common movement and the beginning of spectral music as an internationally known compositional attitude.