Depending on what you listen to, music can do many things. Some music teaches us, calms us, excites us, and gives us all kinds of enjoyment. Music can be used for concentration and things such as that. I don't think it truly shows us who we are, but I think it might help.
You can incorporate magic into almost any working. It can be used to raise, balance and decrease energy. It aides in meditation. There are so many ways it can help you in magic. One of the best ways is creating the music yourself. No matter what the instrument or type of music is, the sounds effect our energy :)
Why yes, it is very possible to do this. The purpose of music is to inspire certain emotions in other people as well as yourself, and with these emotions come energies that follow with them. We can certainly use those energies that were brought up in our spell work, as well as many other magical endeavours we attempt. It is this very basic knowledge of what kind of harmonious tones bring certain energies that inspired ritual chanting, ritual singing, hymns, meditation chants, and many native american musical rituals.