coolness vs countenance

coolness

noun
  • The state of being cool, i.e. calm. 

  • Indifference; lack of passion or interest. 

  • The state of being cool, i.e. good or pleasing. 

  • The result or product of being cool, i.e. good or pleasing. 

  • The state of being cool, i.e. chilly. 

  • The result or product of being cool, i.e. chilly. 

countenance

noun
  • Calm facial expression, composure, self-control. 

  • Appearance, especially the features and expression of the face. 

  • Favour; support; encouragement. 

verb
  • To tolerate, support, sanction, patronise or approve of something. 

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