Fade note out, being unmusical (4-4)

I believe the answer is:

tone-deaf

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'unmusical' is the definition.
Both the definition and answer are adjectives. Perhaps they are linked in a way I don't understand?

'fade note out' is the wordplay.
'out' indicates an anagram (out can mean wrong or inaccurate).
'fade'+'note'='fadenote'
'fadenote' anagrammed gives 'TONE-DEAF'.

'being' acts as a link.

Can you help me to learn more?

(Other definitions for tone-deaf that I've seen before include "Unable to distinguish differences in musical pitch" , "Unable to discriminate between musical notes" , "To deafen? (anag)" , "Unable to perceive differences of musical pitch" , "Musically challenged" .)

I've seen this clue in The Daily Express.

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