Sadly, I am one of those truly tone deaf people.
Tone deaf does not mean that I cannot hear different tones, just that what I hear is flattened and muted compared to a normal listener. (Supposedly, anyway. What I hear sounds normal to me!)
Because of that, while I can enjoy lyrics and, to a lesser extent, rhythm, I do not get the emotional response to music that others get. I don't necessarily dislike music, it just doesn't hold my attention.
I don't even really understand what I'm missing, because I don't have anything to compare it to.
Oh, well... at least I have my other senses!