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correlation matrix for mixed contin/nominal/ordinal variables

I have a consulting client with data containing a mixture of
continuous, nominal, and ordinal variables, who wishes
to do some correlational analyses.

Ignoring for the moment whether this is wise or useful,
is there some way to calculate a matrix using, for example,
polychoric correlations for pairs of nominal variables,
or correlations based on normal scores for ordinal variables?
[The PRELIS program, part of LISREL does this, with a
variety of options.]

-Michael