  In the present article we describe and discuss a framework for applying
different topological data analysis (TDA) techniques to a music fragment given
as a score in traditional Western notation. We first consider different sets of
points in Euclidean spaces of different dimensions that correspond to musical
events in the score, and obtain their persistent homology features. Then we
introduce two families of simplicial complexes that can be associated with
chord sequences, and leverage homology to compute their salient features.
Finally, we show the results of applying the described methods to the analysis
and stylistic comparison of fragments from three Brandenburg Concertos by J.S.
Bach and two Graffiti by Mexican composer Armando Luna.
