Klingon music was a term used to describe music with a Klingon origin.
In 2373, "Kenneth" (aka The Doctor) asked his wife Charlene what the noise was, and she claimed she had had to hear it all day, asking him to put a stop to it. Their daughter Belle claimed it made her eyes hurt. When Kenneth asked his son Jeffrey what kind of music he was listening to, the boy replied "Klingon". Kenneth then told him to turn it down, saying Jeffrey would never be able to get his homework finished with all the noise. (VOY: "Real Life")
Quark didn't care for Klingon music, referring to it as noise. (DS9: "Looking for par'Mach in All the Wrong Places")