  Superstrata are smooth horizonless microstate geometries for the
supersymmetric D1-D5-P black hole in type IIB supergravity. In the CFT,
'superstratum states' are defined to be the component of the supergraviton gas
that is obtained by breaking the CFT into '$|00\rangle$-strands' and acting on
each strand with the 'small,' anomaly-free superconformal generators. We show
that the recently-constructed supercharged superstrata represent a final and
crucial component for the construction of the supergravity dual of a generic
superstratum state and how the supergravity solution faithfully represents all
the coherent superstratum states of the CFT. For the supergravity alone, this
shows that generic superstrata do indeed fluctuate as functions of three
independent variables. Smoothness of the complete supergravity solution also
involves 'coiffuring constraints' at second-order in the fluctuations and we
describe how these lead to new predictions for three-point functions in the
dual CFT. We use a hybrid of the original and supercharged superstrata to
construct families of single-mode superstrata that still have free moduli after
one has fixed the asymptotic charges of the system. We also study scalar wave
perturbations in a particular family of such solutions and show that the mass
gap depends on the free moduli. This can have interesting implications for
superstrata at non-zero temperature.
