Contract finally set. One intended for all to perform (5)

I believe the answer is:

tutti

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'intended for all to perform' is the definition.
I can't judge whether this definition defines the answer.

'contract finally set one' is the wordplay.
'contract' becomes 'tut' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'finally' suggests the final letters.
'one' becomes 'i' (Roman numeral).
The final letter of 'set' is 't'.
'tut'+'t'+'i'='TUTTI'

Can you help me to learn more?

(Other definitions for tutti that I've seen before include "All (stage direction)" , "Every instrument to play" , "All (musical players)" , "(Musically) performed by all instruments" , "Orchestral passage" .)

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

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