I can’t listen to music while doing anything that demands my concentration and focus. When I take small breaks I do listen to my favorite songs or calm and relaxing tunes but then when I am back at my trading desk I shut down every external noise.
Not trading but deep focused work, I can't have music running in the background, not even instrumental one (vocal is out of the question since it involuntarily distracts me).
What does help concentration however is white noise, from a low-noise electrical fan. I have an electric heater with a fan running on just the fan (heat turned off).