Who gets the credit when a musical overture is written?

Question Details: I was hired recently to arrange a musical that was written 20 years ago. The composer provided lyrics and basic chord structures. I have been given permission to make whatever changes I feel appropriate to make the musical work better as a whole. I have written an overture about 100 measures that uses snippets from 3 or 4 pieces in the musical. Maybe 20 measures has material directly related to the original pieces and the rest is my derivations, interlude, etc, that I wrote. May I take credit for composing the overture or do I still list myself as arranger.

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