Many water-anion complexes of the form X-center dot (H2O), where X- is a polyatomic anion, display a peak progression in the OH stretch region of the vibrational spectra with spacings of 65-85 cm(-1). These progressions result from strong anharmonic coupling between the OH stretch and a low-frequency intermolecular rock vibration. In this study, we calculate these progressions in HCO2-center dot(H2O), NO3-center dot(H2O), and CS2-center dot(H2O) by use of a one-dimensional adiabatic model with rock potentials generated from ab initio energies and frequencies. The importance of using a geometry-dependent reduced mass in calculating the peak spacings is demonstrated. We find that the one-dimensional adiabatic model is more successful in predicting peak spacings in the spectrum of HCO2-center dot(H2O) than for NO3-center dot(H2O), for which the rock vibration is highly anharmonic.