Met to compose song (5)

I believe the answer is:

motet

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'song' is the definition.
Both the answer and definition are singular nouns.
Perhaps you can see a link between them that I don't see?

'met to compose' is the wordplay.
'compose' indicates anagramming the letters.
'met'+'to'='metto'
'metto' is an anagram of 'MOTET'.

Can you help me to learn more?

(Other definitions for motet that I've seen before include "Anthem or church cantata" , "Short sacred vocal work" , "Word; fixed period" , "Religious choral composition" , "Polyphonic choral liturgical piece" .)

I've seen this clue in The Mirror.

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