Quantum adaptive approach to chord consonance modeling

Abstract

In this paper, a chord consonance model is established via complex law analysis to improve the accuracy of music emotion calculation. To address the coupling and the uncertainty of the complex law, quantum adaptive method is applied to the chord consonance calculation. Musical tones, with subjective difference and uncertainty, are constructed into interval consonance quantum state using parameter adaptive method. Quantum logic gates are introduced to describe the coupling between musical tones to establish the chord consonance model. Then, a mixed state density matrix is designed to optimize the calculation of consonance. Experimental results are provided to verify the validity and accuracy of the modelling.