As I thought, no idea. You even state later that it depends on what music it is whether or not you would have a problem. Move! Yeah, great idea. You and people like you give sensible pet owners a bad name. People who think their neighbours will have no problem with the noise their pets make are clearly selfish at best. Constant noise is a nuisance and listening to caged birds screaming all day is a nuisance. It is also probably a sign that the bird is distressed.
Thanks, I have contacted them and moves are afoot to get the neighbours to move their offending birds out of earshot of their long suffering neighbour despite their protestations that they don't notice the noise. A win for common sense.