Carefully arranging or coordinating different parts or people to work together toward a goal, like a conductor leads an orchestra.
From 'orchestra' (Greek 'orkheestra,' the space where the chorus danced), plus '-ate' (forming a verb) and '-ing' (present participle). The musical sense came first, then expanded metaphorically to any coordination.
The word 'orchestra' comes from ancient Greek theaters where the chorus danced in a special area before the stage—so when you 'orchestrate' something, you're using a metaphor that's literally 2,400 years old!
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