RFID devices comprising (i) a transponder chip module (TCM) having an RFIC chip (IC) and a module antenna (MA), and (ii) a coupling frame (CF) having an electrical discontinuity comprising a slit (S) or non-conductive stripe (NCS). The coupling frame may be disposed closely adjacent the transponder chip module so that the slit overlaps the module antenna. The RFID device may be a payment object such as a jewelry item having a metal component modified with a slit (S) to function as a coupling frame. The coupling frame may be moved (such as rotated) to position the slit to selectively overlap the module antennas (MA) of one or more transponder chip modules (TCM-