How to download music straight to your iphone?

Basically, my laptop that my phone was synced to broke a couple days ago. My phone will not let me sync it up to a different computer because it has exceeded its limit. I want to know how to get the mixtape directly onto my phone WITHOUT having to use a computer.

Buy straight from itunes, icloud will detect

Maybe there's an app for it. Other than that, there's plenty of free apps that let you download music for free, but you'd have to find the mixtap through the apps browser. Just search up download music in the app store. There's tons.