People tend to see the tresspasses of others more serious than their own.   You don't want to hear their noise so you force them to hear your noise.   In return, they will feel the same way and escalate.   

Try a loud white noise generator instead of music.   Run it during the allowed noise hours constantly.   You'll drown it out quickly, and it may encourage them to be more quiet.  If not, and they call the police, the law will be on your side - much more than if you were retaliating with music.