The best replacement for relational is dimensional.

The best alternatives to relational are rated as following:
★★★★★  dimensional
★★★★  object oriented database
★★★  transactional
★★  object oriented
★★  olap
★★  nosql
★  flat database
★  hierarchical database
★  graph database
★  nosql database
★  transactional database
★  hierarchical
★  document database
★  flat file database
  xml
  dimensional model
  object
  flat file
  multidimensional
  object oriented databases
  star schema
  dimensional modeling
  object databases
  dimensional data warehouse
  columnar database
  object database
  dimensional database
  causal

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Google Trends

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relational
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object oriented database