Cover the phenomenon of today's rock stars. The influence of today's rock stars rival that of any politician, evangelist or sports figure. Music is the key to this influence. The power of a song reaches deep into the psyche of some. Topics on this theme could include cause and effect of the phenomenon of rock star or music adulation.
Most of the legendary composers are long dead. Bach, Beethoven and Mozart are more popular now than when they died. The longevity of classical music could be a research topic and the fact that there doesn't seem to be any modern classical composers who can stand up to the aforementioned composers. Topics could include why the complexity of music, when it is arranged right, is pleasing to hear.
Topics on modern music could explain why some politicians want to blame rock music for such problems as teen misbehavior. Some blame this behavior on listening to heavy-metal or just plain old rock. They are quick to blame the artists for the maladies of today's youth. Topics for research could contain the reasoning behind the efforts to blame music for behavioral problems.
The making of a prodigy topic could include the why and how of a prodigy. The topic could expand to define a prodigy. Many may disagree on this distinction. The prodigy might have an ability on guitar, for example, to play notes faster than anyone else. But if the music is not pleasing, like a guitarist playing the blues, is the prodigy valid? Music interpretation can vary by person. Music research topics could include why interpretation is important and how culture and upbringing influences your taste in music.