And the solutions starts here.

With this guy, Sean Reardon, a professor of Education  at  Stanford University.

First, he reduced the Massey`s five dimensions, to two of them.

The isolation and exposure dimension and the evenness-clustering dimension.

And he maked it clear that residential segregation, to be meaningful,  must take into account the geography, the spatial distribution of the attributes.

And, if such kind of metrics does not exist, they should be created.