Limits terrible music of the Peppers (9)

I believe the answer is:

capsicums

'peppers' is the definition.
('capsicum' can be a synonym of 'pepper')

'limits terrible music' is the wordplay.
'limits' becomes 'caps' (cap can mean a limit or maximum).
'terrible' indicates an anagram.
'music' with letters rearranged gives 'icums'.
'caps'+'icums'='CAPSICUMS'

'of the' acts as a link.

I've seen this clue in the Sydney Morning Herald.

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