tone-deaf

Short definition from Wiktionary

Adjective

1. 1
   Unable to clearly distinguish the difference in pitch between different notes.
2. 2
   Having little or a shallow or banal appreciation of music, whether or not as a result of tone deafness.
3. 3
   Out of touch with the experience of ordinary people.
4. 4
   Insensitive and offensive as a result of not noticing the current social context.
5. 5
   Alternative form of tone-deaf.