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Put on headphones with music for sounds that don't last long. Try a white noise machine to drown out softer sounds. Wear earplugs if you need more peace while you sleep. Soundproof your ceiling for a more permanent solution.
This is perfect for dealing with recurring noise that’s short-lived. Instead of getting worked up over the sound of your neighbor’s hour-long clarinet lesson, try putting on a pair of headphones with your favorite music. This will drown out the sound that’s bothering you, and you can go back to focusing on whatever you enjoy.  If you’re feeling really upset, put on calming music, like classical music or the blues. If you’re trying to watch TV, get a pair of wireless headphones or turn on your television's closed captioning. If your neighbors are routinely noisy while you’re trying to sleep, try putting a white noise machine in your bedroom. These machines emit a soft sound, like static, rushing water, or nature sounds, that can gently help drown out unwanted sounds from upstairs. You can find white noise machines at most home stores, anywhere that sells baby gear, or online. For louder sounds that you can’t drown out with a white noise machine, earplugs may help you get some peace. Industrial-strength foam earplugs form to the shape of your ear canal, blocking out sounds more effectively than other kinds. You can buy earplugs from drug stores and home improvement stores. If nothing else works, ask your landlord about options for soundproofing your ceiling. Most soundproofing options involve placing a second layer of material over your existing ceiling. While this may not completely block out all of the sounds from your noisy neighbor, it can cut down on it significantly.  Some options include installing acoustic tiles held in place by a metal grid, adding a second layer of sheetrock onto the ceiling, or painting the ceiling with a dampening product like Green Glue. Soundproofing will not be an option in all cases, but it can be worth it to talk to your landlord to see if they'll approve the changes.