Intra- and interchain interactions in (Cu1/2¬Au1/2)CN, (Ag1/2¬Au1/2)CN, and (Cu1/3Ag1/3Au1/3)CN and their effect on one-, two- and three-dimensional order in (Cu1/2¬Au1/2)CN, (Ag1/2¬Au1/2)CN, (Cu1/3Ag1/3Au1/3)CN their on one-, two- and order.