  We predict the existence of a new defect-lattice phase near the nematic -
smectic-C (NC) transition. This tilt- analogue of the blue phase is a lattice
of double-tilt cylinders. We discuss the structure and stability of the cone
phase. We suggest that many `nematics' exhibiting short range layering and tilt
order may in fact be in the molten cone phase, which is a line liquid.
