A method for manufacturing a magnetic random access memory array at a density greater than would be possible using photolithography. A hard mask material is deposited over a magnetic memory element material, and a chemical template layer such as brush or mat material is deposited over the hard mask. A mask structure is formed over the soluble polymer. The mask structure is configured with openings having a center to center spacing that is an integer multiple of a block copolymer material. The openings in the mask structure can be shrunk by depositing a spacer material. The chemical template layer is chemically patterned, such as by a quick plasma exposure and the mask is removed. A block copolymer material is then deposited over the chemical template and annealed to form block copolymer cylinders that are located over the patterned portions of the chemical template and between the patterned portions.