downbeat vs hopeful

downbeat

adj
  • Cautiously optimistic. 

  • Sad or pessimistic. 

noun
  • The accented beat at the beginning of a bar (indicated by a conductor with a downward stroke). 

hopeful

adj
  • feeling hope 

  • inspiring hope 

noun
  • Someone who is hoping for success or victory, especially as a candidate in a political election. 

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