Trajectory of fifths - a two-dimensional representation of music

This paper presents a method for representing the musical works in the form of the trajectory of fifths. The essence of creating a trajectory of fifths consists in observing with a fixed time resolution a set of appearing sounds. The multiplicity, or duration of individual sounds is reflected by the lengths of vectors inscribed in the circle of fifths, so-called music signatures. The trajectory of fifths allows for a qualitative evaluation of the harmonic structure of a musical piece. The form of the trajectory of fifths is closely related to the character of the piece of music and can be an object of research related to the acquisition of music information retrieval, closely related to the problems of music genres recognition. This paper presents the concept of creating a trajectory of fifths and figures showing examples of trajectory of fifths for various well-known pieces of music.