It would not surprise me if there was a correlation between the two. I was a professional recording musician (saxophone) before I was a professional programmer. Writing music can be like programming, however I don't think playing a written piece is similar at all. Lots of electronic musicians are programmers however. Joel Zimmerman (Deadmau5) was a web developer who initially created a house track to ridicule that genre of music and then discovered he had a talent when the song became popular in Europe. He still writes code that creates his music.
I program and I'm also studying music. Several of the programmers at my workplace play music. I would say %50 of my team. I think music theory and programming are very similar. The other musicians I know don't see the relationships I see.
