  We discuss a method for a model independent reconstruction of the CMB
temperature fluctuation power spectrum on small and intermediate scales that is
geared to individual experiments. The importance of off-diagonal correlations
for determining the shape of the power spectrum is emphasized and some examples
of a reconstruction method are given. By using this method to ``map'' the power
spectrum on the scales to which they are sensitive several experiments could be
combined to map out the full power spectrum, and test consistency of observed
features. For example we find that the GUM scan of the 3rd flight of the MAX
experiment prefers a positive slope to the power spectrum near $\ell\simeq160$,
which provides weak evidence for the presence of a Doppler peak.
