Towards Measuring the Distances of Chords of Different Cardinalities

Music can be represented by a sequence of chords. The transition between the individual chords is naturally of great importance due to the induced musical tension or the created cadence. In this work we summarize several known and less known approaches for comparing two chords of the same as well as different cardinality and calculating their distances in the corresponding chord spaces, which are used to measure transitions between individual chords.