Beyond The Basic-Space of Tonal Pitch Space: Distance in Chords and Their Interpretation

Tonal Pitch Space (TPS) defines a numerical distance between two chord interpretations. Although it is based on musical knowledge and theory, the structure and values are not defined in an objective manner. Preceding works have addressed this problem, and TPS has been revised and optimized the definitions of distance, in the interpretation of chord paths, given chord names. In these former works, which notions that appear in TPS work contribute to the distance has not been clarified; among which the contribution of the basic-space is rather ambiguous. In this study, we modify the task to incorporate pitch class (PC) information so that we can not only train other distance models that concern PC but also compare their performance with that of basic-space. We show that the data-oriented approach improves the accuracy from the original basic-space, especially when we add a distinction of major and minor keys