Decay paths, half-lives, and excitation energies of the i 13/2 bandheads of the neutron-deficient nuclei 171 Pt, 167 Os, and 163 W have been established for the first time. Gamma-ray transitions, X-rays, and internal conversion electrons have been observed, allowing internal-conversion coefficients to be measured and B(M2) reduced transition probabilities to be extracted. These results elucidate the low-lying single-quasiparticle structures and give the energy level spacings between the νf 7/2 , νh 9/2 , and νi 13/2 quasineutron states for all three nuclei. Moreover, ground-state spin assignments have been made for the first time, along with the measurement of the α-decay branching ratio for 171 Pt. The decay paths of the i 13/2 bandheads were followed by favored α decays, indicating that all three nuclei have the same I π = 7/2 − ground state.