  There are, by now, several arguments that superstrata, which represent
D1-D5-P bound states that depend upon arbitrary functions of two variables and
that preserve four supersymmetries, exist in string theory, and that their
gravitational back-reaction results in smooth horizonless solutions. In this
paper we examine the shape and density modes of the superstratum and give
strong evidence that the back-reacted supergravity solution allows for
fluctuation modes whose quantization reproduces the entropy growth of black
holes as a function of the charges. In particular, we argue that the shape
modes of the superstratum that lie purely within the non-compact space-time
directions account for at least $1/\sqrt{6}$ of the entropy of the D1-D5-P
black hole and propose a way in which the rest of the entropy could be captured
by superstratum fluctuations. We complete the picture by conjecturing a
relationship between bound states of multiple superstrata and momentum
excitations of different twisted sectors of the dual CFT.
