Out of harmony with workplace music
Please contact HR -- not your department head -- and have a meeting about this. Also consider the following options in the short run: See if the music can be played during certain blocks of the day, leaving at least some hours music-free. See if the speakers can be "regionalized" so the music isn't pounding directly over your desk. Along those lines, explore if your cubicle can be moved to a quieter location.
Lastly you could do what I've been tempted to try when noise in the newsroom gets to be too much -- really gigantic headphones, of the sort that workers on airport tarmacs wear. (2003)

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