With its small group of soloist against an orchestra background is known as a

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The term you're looking for is a "concerto." In a concerto, a small group of soloists (or sometimes a single soloist) performs against the backdrop of an orchestra. A specific type of concerto featuring a small group of soloists is known as a "concerto grosso." This form of music contrasts a small group of instruments, called the concertino, with the full orchestra, known as the ripieno or tutti.