Taking into account the importance of repetition in minimalism and the frequency in the reiterative use of musical motifs in classical forms, this essay tries first to establish a genealogy of repetition throughout the history of music to later explore how recursive forms find their greatest expression in minimalism. We will carry out an analysis on notation, calligraphy and musical grammar, and study the way in which these elements deeply changed during the technological acceleration of the second industrial revolution. We will also see how these transformations allowed a reformulation of musical notation and the definition of music itself. In the last part of this essay, based on the theory of fractal narration by German A. Duarte, we will propose an analysis of the most characteristic works of minimalism in music and address how minimal music shapes fractal spaces.