The best replacement for ordinal is nominal.

The best alternatives to ordinal are rated as following:
★★★★★  nominal
★★★★  cardinal
★★★★  interval
★★  cardinal numbers
★★  nominal data
★★  cardinal utility
★  nominal variables
★  scale
★  continuous
★  continuous data
★  nominal scale
  nominal variable
  interval scale
  cardinal number
  interval data
  categorical
  nominal spss
  cardinal directions
  invariant
  ordinal
  nominal numbers
  disordinal

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ordinal
nominal
cardinal