There is musical tinnitus though, but I have no clue what the music is supposed to sound like. All I remember was a documented case where someone had the American anthem stuck in their head, or something along those lines.
yeah. There's a fascinating anecdote in Oliver Sachs' great book
Musicophilia about someone who was a career music composer, who developed tinnitus which turned into musical tinnitus as a result of a severe noise trauma. In his case, the music he heard was often "new", his mind would subconsciously "make it up" in real time -- and so his life had a whole soundtrack, which would vary and change based on his mood and circumstances.
This sounds "neat" compared to boring tonal tinnitus, but consider that the guy was a composer/musician, and the volume of his internal music usually rivaled the volume of whatever he was trying to conduct or play -- it must have been extremely difficult for him. None the less, he continued to conduct and play music for the rest of his life.
I actually had a quasi-lucid dream at one point after reading this, where I heard my tinnitus and thought "I wish this was music instead". In the dream, the high pitched ringing then faded and was replaced by orchestral music which matched my mood. I quickly realized that hearing constant music I couldn't control was going to be
even more annoying than the ringing, and I thought "dear god, what have I done!" -- then I woke up