Prevalent neuroscientific theories are combined with acoustic observations
    from various studies to create a consistent differential-geometric model for
    music perception in order to rationalize, explain and predict psycho-acoustic
    phenomena. The space of all chords is shown to be a stratifold, whose
    Riemannian metric naturally yields a geodesic distance function compatible with
    voice-leading satisfying the triangle inequality even between chords with a
    different number of chord tones. The stratifold model allows for rigorous
    studies of psychoacoustic quantities like roughness and harmonicity as height
    functions. Lastly, concepts for the perception of chord resolutions are
    introduced and analyzed based on the differential-geometric framework. This
    research shows how to use the differential-geometric framework in
    psychoacoustic studies.

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