A roofing system including shingles with different shingle patterns. The roofing system may include a plurality of first shingles having a first two-tab shingle pattern and a plurality of second shingles having a second two-tab shingle pattern. The first shingles including a first tab having a first width and a second tab having a second width, wherein the first width and the second width are substantially equal. The second shingles including a third tab having a third width and a fourth tab having a fourth width, wherein the third width is substantially equal to the first width and the fourth width is about double the second width. The plurality of first shingles and the plurality of second shingles can be formed from a rectangular shingle blank in an interwoven pattern with substantially no scrap or waste material.