Abstract
This chapter presents practitioner–researcher perspectives on shape in improvisation. A theoretical framework based in jazz improvisational pedagogy and practice is established, and employed in the analysis of examples from both jazz and classical-period repertoire. The chapter is laid out in five sections. The first section provides a brief overview of improvisational research, while the second discusses the concept of improvisation as ‘chains-of-thought’ (a logical narrative established through the repetition and transformation of musical objects). The third reflects upon improvisation as the limitation and variation of a changing set of musical parameters. Using this concept, the fourth section builds a theoretical model of improvisation as navigation through multidimensional musical space (M-Space). The final section uses this model in a detailed analysis of the nineteenth-century violinist Hubert Léonard’s cadenza for Beethoven’s Violin Concerto Op. 61.