The best replacement for dimensional is categorical.

The best alternatives to dimensional are rated as following:
★★★★★  categorical
★★★★  relational
★★★  three dimensional
★★  3 dimensional
★★  3 tab shingles
★★  vanguard
★  categorical diagnosis
★  two dimensional
★  architectural shingles
★  categorical psychology
★  2 dimensional
★  categorical approach
★  typological
  dimensional
  relational data warehouse
  3nf
  three-dimensional
  multidimensional
  3 tab
  one dimensional
  one-dimensional

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