granted vs though

granted

adv
  • Used to concede a point or to express acknowledgment or awareness, often before stating some contrasting or competing information; used as an expression of respect to the point in question. 

adj
  • non-gloss definition|used to mark the premise of a syllogistic argument 

though

adv
  • Used to intensify statements or questions; indeed. 

  • Despite that; however. 

conj
  • Despite the fact that; although. 

How often have the words granted and though occurred in a corpus of books? (source: Google Ngram Viewer )