COUNTING STATES OF BLACK STRINGS WITH TRAVELING WAVES .2.

We extend our recent analysis of the entropy of extremal black strings with traveling waves. We previously considered waves carrying linear momentum on black strings in six dimensions. Here we study waves carry ing angular momentum on these strings, and also waves carrying linear momentum on black strings in five dimensions. In both cases, we show t hat the horizon remains homogeneous and compute its area. We also coun t the number of BPS states at weak string coupling with the same distr ibution of linear and angular momentum, and find complete agreement wi th the black string entropy.