Geometry of Music Perception

Prevalent neuroscientific theories are combined with acoustic observations from various studies to create a consistent geometric model for music perception in order rationalize, explain and predict psycho-acoustic phenomena. The space of all chords is shown be Whitney stratified space. Each stratum Riemannian manifold which naturally yields geodesic distance across strata. resulting metric compatible voice-leading satisfying the triangle inequality. allows rigorous psychoacoustic quantities such as roughness harmonicity height functions. In show how use framework studies, concepts chord resolutions introduced analyzed.