Interesting thought, but I doubt there was much, if any, difference. It was a military regiment, led by white military officers. I would imagine the white officers would have the same tunes played as other Union regiments.
Some of them played "African" music, or at least African music that had been morphed into African-American music after generations in America. There is an article on this on JSTOR: https://www.jstor.org/stable/41054165