All of the comet Halley high-time resolution magnetic field data have been examined to determine the nature of the turbulence and its difference from that of comets Giacobini-Zinner and Grigg-Skjellerup. Although much of the wave appears unpolarized, occasionally there are intervals of clear order. We find several interesting new wave polarizations: arc-, left-hand/arc-(sunglass) and left-hand circular polarized waves (in the spacecraft frame). The former two types have separations of ~120 s between individual pulses, indicating that the waves are generated from pickup of the H2O group cometary ions. The third type of waves occurs in a wave-train and may be a detached whistler packet. The unusual polarizations could be caused by wave refraction in the highly turbulent (and high &bgr;) Halley environment or by nonlinear evolution due to strong growth rates. It is noted that some of the large amplitude waves are non-planar. These results are further details of the linear polarization of Halley waves determined by previous coherency analyses, and may explain some of the evolution leading to its plasma turbulence. ¿ 1997 American Geophysical Union