  To examine the properties of the frustrated XY model at an incommensurate
field we have examined a sequence of magnetic filling factors f which approach
the irrational value of one minus the golden mean. At all f studied, the system
undergoes a finite-temperature weak first-order transition involving the
freezing out of Ising-like domain walls. As one approaches incommensurability,
the low temperature phase of the system changes from the staircase states found
by Halsey to a striped phase consisting of a superlattice of parallel shift
(Pott's-like) domain walls.
