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Longman Dictionary of Contemporary English
tone-deaf
adjective
EXAMPLES FROM CORPUS
▪ Henry wasn't really very musical but Ivy Hooper was tone-deaf.
▪ Those damn dirges are still running around my brain, like a tone-deaf rat with a megaphone is trapped inside my head.
▪ Years before, at Abbotsfield, Kate had told Peter that her father was tone-deaf.
Wiktionary
tone-deaf

a. 1 Unable to clearly distinguish the difference in pitch between different notes. 2 (context colloquial English) Having little appreciation of music, whether or not as a result of (1).

WordNet
tone-deaf

adj. unable to appreciate music

Usage examples of "tone-deaf".

Those damn dirges are still running around my brain, like a tone-deaf rat with a megaphone is trapped inside my head.

Any Lizard monitoring this one, though, would have to be extraordinarily tone-deaf to miss the obvious fact that Penny was lying through her teeth.

Apparently, the Chief, despite his passion for popular music, was tone-deaf.

The band, mercifully silent, enthusiastically quaffed beer presented them by some tone-deaf customer.

Somewhere within earshot of the drawing-room a string orchestra was playing, but luckily in a subdued manner, so that Hornblower was spared much of the irritation that he usually suffered when he was compelled to listen to music with his tone-deaf ear.