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The correspondence between the scalar modes LP and the nearly degenerate true vectorial modes in circular two-layer fibers is well established. For example, LP21 corresponds to a combination of EH11 and HE31, while LP02 is composed only of HE12. For the multilayer fibers, inversion of the correspondences for certain modes can occur. We illustrate this inversion for a three-layer fiber. We propose a method permitting to distinguish the hybrid modes HEνμ and EHνμ in such fibers and we show the possibility of major taper-induced power coupling between these modes in SMF-28 fiber.