  We adopt some basic ideas on quantum-theoretical modeling of tonal attraction
and develop them further in an alternative direction. Fitting Gaussian Mixture
Models (GMM) to the Krumhansl-Kessler (KK) probe tone profiles for static
attraction opens the possibility to investigate the underlying wave function as
the stationary ground state of an anharmonic quantum oscillator with a
schematic Hamiltonian involving a perturbation potential. We numerically verify
the fulfilment of the associated stationary Schr\"odinger equation and also
inspect its excited states as a solution basis for the corresponding
time-dependent Schr\"odinger equation. With their help we calculate the
temporal evolution of any initial state. As an example, we study the dynamics
of transpositions of the stationary KK wave function across Regener's line of
fifths. This offers potential models for dynamic tonal attraction and also for
the behavior of deflected key profiles within the Hamiltonian dynamics of a
given tonality.
