Wow this is strange, I've always been hypersensitive to music as well, I've never met anyone else who was like that.
It was only after taking antidepressants that I could properly listen to music for the first time in my life. I think I became a musician because playing music made me feel high. I'm not on them anymore but I'm on beta blockers for my heart now and I think that's also calmed it down.
I don't feel so alone knowing that there is someone else out there with the same experience. (I"m sure there must be lots of people like this, but I"ve never known anyone in my circle of contacts who has talked about it).