To recreate this bug place down 2 jukeboxes and get two records of the same type (example: Stal and Stal). Use one disc on each of the two jukeboxes, so now each jukebox should be playing the same song, creating an echo effect. Now remove the music disc from only one of the jukeboxes and the other one should stop too.
Wait! I entered my Minecraft again, tried to perform this bug again, and it didn't happen! Huh.