detached vs untied

detached

adj
  • Not physically attached; separated from something it could connect to. 

  • Having or showing no bias or emotional involvement; disinterested. 

  • Not influenced by anyone else; characterized by an impersonal objectivity; impartial. 

  • Of a house: not joined to another house on either side. 

untied

adj
  • Not tied; undone 

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