In this chapter, our aim is to understand in depth how the DFT works as a metric, and in particular to answer the question of whether this new metric makes musical sense. To do this, we will try it on some artificially created musical scores: more precisely, we assume that a score is given by a non-ordered set of musical bars. In fact, we can construct a musical score made of very simple musical bars, such as bars containing only a N-chord. In this case, the pitchesPitches are all given with onset 0, so we take \(t=1\) as a unit of time. In particular, this means that we are back in the one-dimensional case. However, we can use the DFT to measure the distance between two given N-chords, and to do this we compute barcodes that lead us to understand the connection between the musical bars. In particular, this work will give connections with topological features of two-dimmensional Tonnetze (the torus for the Euler’s TonnetzEulerTonnetz, for instance).