intermediate vs midmost

intermediate

adj
  • Being between two extremes, or in the middle of a range. 

noun
  • Any substance formed as part of a series of chemical reactions that is not the end-product. 

  • An intermediary. 

  • Anything in an intermediate position. 

verb
  • To mediate, to be an intermediate. 

  • To arrange, in the manner of a broker. 

midmost

adj
  • In the exact middle, or nearest to the exact middle; middlemost 

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