Interesting! I know from talking to musicians and reading that there is a link but I don't know if it is that cut and dry.
My DD 4.5 takes piano and her teacher is awe struck. She can't say enough about DD's abilities. BUT I'm not sure about her mathematical side. She was able to add and subtract by age 2 but hasn't really progressed beyond that, however, I feel this is mostly due to us not providing any material for her. She is being assessed right now in math and we will focus on math through the summer. I'm definitely curious on how much she will absorb by the end of summer.