The gas turbine exhaust sound suppressor, or exhaust silencer, and method are for a gas turbine and reduce low frequency exhaust flow noise while avoiding the creation of additional acoustical standing waves, e.g. from wake shedding at certain predictable frequencies. A plurality of elongated flow obstruction members, e.g. pipes or airfoils, extend within the exhaust passage to reduce acoustic waves within the exhaust flow, and at least some of the elongated flow obstruction members have different widths. Each of the elongated flow obstruction members is positioned at a respective angle within a predetermined angular range transverse to the flow direction, with the predetermined angular range being greater than or equal to 10 degrees from normal to the flow direction.