the c major diatonic collection can be generated by adding a cycle of perfect fifths (c7) starting at f: f-c-g-d-a-e-b = c-d-e-f-g-a-b. using integer notation and modulo 12: 5 + 7 = 0, 0 + 7 = 7, 7 + 7 = 2, 2 + 7 = 9, 9 + 7 = 4, 4 + 7 = 11.