Before revision:  Inspired by seminal work by Guerino Mazzola on the connection between musical forces and symmetries in tonal music, our study aims at elucidating and reconciling musical forces in the framework of quantum cognition . Based on the fundamental  transposition symmetry of tonal music , as reflected by the  circle of fifths, we develop different wave function descriptions over this underlying tonal space , governed by a Schr\"odinger equation containing different interaction energies .
After revision:  Inspired by seminal work by Guerino Mazzola on the connection between musical forces and symmetries in tonal music, our study aims at elucidating and reconciling musical forces in the framework of quantum cognition . Based on the fundamental principles of octave equivalence, fifth similarity and transposition symmetry of tonal music , as reflected by the circle of fifths, we develop different wave function descriptions over this underlying tonal space , governed by a Schr\"odinger equation containing different interaction energies .