You are Jimi Hendrix, a detective. Officer Jimi Hendrix has called you to the scene of the crime. The victim? Jimi Hendrix.
The Jimi Hendrix Case, free to download, is a classic-style point and click mystery with absolutely beautiful pixel art, made for a monthly adventure game jam (I think the jam theme was actually "Hendrix"). The fact that literally every person in the game world is Jimi Hendrix allows fun things to happen with the classic format—at one point the game quizzes you to remember the victim and suspects, and of course, all the answers are Jimi Hendrix.
Looking into this game a little bit, I learned there are actually lots of conspiracy theories about whether the real Jimi Hendrix was murdered. I don't know enough about them to know if there's anything for Hendrix fans in the game related to those theories, but the game is made with lots of love and doesn't take a lot of your time.