I have heard that Allah's curse settle on seven generations of the people who listen to music.

Answer

Undoubtedly, Allah's Curses settle on those who indulge in music. We are not aware of any narration stating that the curses which descend in the wake of music extend to seven generations. If anyone is aware of such a Hadith, we shall appreciate being informed. Punishment does sometimes extend to the succeeding generations as well. And Allah knows best.