incommensurable vs incompatible

incommensurable

adj
  • 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. 

  • having no common integer divisor except 1. 

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

incompatible

adj
  • Of two things: that cannot coexist; not congruous because of differences; unable to function together due to dissimilarities. 

  • Incapable of being together without mutual reaction or decomposition, as certain medicines. 

noun
  • An incompatible substance; one of a group of things that cannot be placed or used together because of a change of chemical composition or opposing medicinal qualities. 

  • A consequent of a contrary. 

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