diverse vs incommensurable

diverse

adj
  • Different; dissimilar; distinct; not the same 

  • Capable of various forms; multiform. 

  • Composed of people with a variety of different demographic characteristics in terms of, for example, ethnicity, gender, sexual orientation, socioeconomic status, etc., and having a sizeable representation of people that are minorities in a given area. 

  • Belonging to a minority group. 

  • Consisting of many different elements; various. 

adv
  • In different directions; diversely. 

incommensurable

adj
  • having no common integer divisor except 1. 

  • Not able to be measured by the same standards as another term in the context. 

  • having a ratio that is not expressible as a fraction of two integers. 

noun
  • An incommensurable value or quantity; an irrational number. 

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