A whirling tool for machining a workpiece, having: three or a multiple of three cutting plates, wherein each of the cutting plates comprises at least one cutting edge; a cutting plate holder having a plurality of cutting plate receptacles, wherein each of the cutting plate receptacles is configured to receive one of the cutting plates, wherein the cutting plate receptacles are disposed so as to be distributed in a circumferential direction across the cutting plate holder; and a plurality of fastening elements for releasably fastening the cutting plates in the cutting plate receptacles of the cutting plate holder; wherein the cutting plates comprise at least two different kinds of cutting plates, wherein at least one cutting plate of a first kind, and one cutting plate of a second kind are provided for each group of three cutting plates that are disposed beside one another on the cutting plate holder, wherein the cutting plate of the first kind differs from the cutting plate of the second kind by an overall geometry, by a dimension of the at least one cutting edge, and by a shape of the at least one cutting edge.