The pendulum torsional vibration absorber, designed usually in the bifilar form, has proved very effective in its purpose, especially in radial aircraft engines. The ordinary theory is based on an assumption of small angles of swing of the pendulum, and this assumption simplifies the equations of motion to linear form. However, wide angles of swing have actually been observed in most installations. Two previous analyses have been made of the wide angle swing, but have shown only the usual lengthening of the period due to wide swing of a gravity-controlled pendulum. Here it is demonstrated that the longer period due to wide angles will be offset by taking a heavier pendulum on a given carrier, for this shortens the period tremendously, as shown in Fig. 2.