Unmoved by Music
We respond emotionally to music. While our tastes differ, music can make us feel happier or sadder, excited or even anxious. Emotional changes can also be measured with scientific instruments, and increased pulse rate or changes the level of skin moister and electrical resistance.
Surprisingly, there exist people who, normal in most other ways, are unaffected by music. Good or bad, happy or sad, a tune will not affect them at an emotional level at all. The psychological / medical term for the is specific musical ahedonia.
In practical terms, don't buy such people concert tickets. They might prefer a gallery or dinner instead.