Undergraduate solid mechanics courses traditionally emphasize idealized geometries such as beams, plates, shells, and other perfectly defined structures to support analytical instruction. Although this approach helps students learn classical theory, it leaves them underprepared to reason about the architected, porous, and irregular materials that appear in many modern applications. The mechanical behavior of these structures depends on complex topological patterns rather than on simple geometric assumptions. As a result, learners often struggle to connect topology with mechanical response, especially when interpreting simulation outputs or analyzing non-periodic designs. This work introduces Shape-to-Music, a multimodal framework that uses auditory representations to help students develop intuition for topology-property relationships in architected materials. The approach integrates two components. The first converts discretized density maps into evolving melodies. The second uses finite element analysis to generate deformation fields that are transformed into color-encoded images and then into musical compositions. Students analyze these sound signatures using the Fast Fourier Transform (FFT), which allows them to hear distinctions among spinodal, porous, and cellular topologies. Preliminary use shows that Shape-to-Music benefits students across a range of spatial visualization abilities, builds stronger links between mathematical tools such as Fourier analysis and mechanical behavior, and functions effectively as a project-based learning activity. By offering an accessible sensory pathway into a concept that is traditionally abstract and visually or computationally demanding, this framework supports inclusive and research-informed teaching in solid mechanics and materials education.