Generated rhythms and the metric matrix can both be modelled by time-domain equivalents to projections of higher-dimensional lattices. Scott Joplin’s music is a case study for how these structures can illuminate both musical and philosophical aims. Musically, lattice projections show how Joplin creates a sense of multiple beat streams unfolding at once. Philosophically, these structures sonically reinforce a Du Boisian approach to understanding Joplin’s work.