Members of an industrious group of musicians (4)

I believe the answer is:

trio

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'group of musicians' is the definition.
'trio' can be an answer for 'group' (a group of three). I'm unsure of the 'of musicians' bit.

'members of an industrious' is the wordplay.
'members of' indicates the answer is hidden within the clue (the letters are 'members' of the clue).
'TRIO' is hidden within 'industrious'.

Can you help me to learn more?

(Other definitions for trio that I've seen before include "Group of three (musicians)" , "Chamber group" , "Riot (anag)" , "Group of Magi?" , "Musical group" .)

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