A Coriolis-mixing analysis has been made of the energies, (d, p) cross sections and γ-ray transition probabilities of the members of the rotational bands built on the four intrinsic states which arise from the coupling of the 7 2 +[404] proton orbital and the 1 2 −[510] and 3 2 −[5 neutron orbitals in 182Ta. The treatment considers doubly odd 182Ta as an axially-symmetric rotator, and Nilsson wave functions are chosen to describe the unperturbed states. Explicit expressions are given for the (d, p) cross sections and M1 and E2 γ-ray transition probabilities involving the Coriolis-coupled states. While it has been found possible to fit the data for a fairly wide range of parameter values, the discussion is arbitrarily restricted to the case of “pure” I( I+1) unperturbed rotational bands. With this restriction, the results are presented for two different assumed values of the matrix element < 3 2 −[512] ¦ j +¦ 1 2 −[510]> . For a value of this matrix element ≈ 1.4 times as large as the Nilsson-model prediction, it is found that all four unperturbed rotational bands have h ̷ 2 2 J values which are essentially equal (≈ 14.1keV). This factor of 1.4 agrees well with that found to be necessary in the well-studied odd- A nucleus 183W. A value of +0.21 is inferred for the decoupling parameter of the 1 2 −[510] neutron state.