Our dynamic The Relevant Market for Music Streaming: Market Definition and Measurement Challanges document is a versioned work-in-progress publication, available from the Zenodo open science repository. It is built upon the actual application of competition law in non-UK jurisdictions (Antal 2017a, 2019a), and it is intended for further research and publication. After reviewing some methods to empirically collect data about quantities, prices, market shares and market power in the music markets, we present some ideas on the definition of music markets. The Github repo of the working paper ishttps://github.com/dataobservatory-eu/music-competition