...or, to phrase it differently, like one of those silly SAT questions... please help me fill in this blank:
4 is to 5 as "quadrant" is to ????
(Does that make sense?)
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Though a very rare word, that would be a quintant.
Though "quintant" seems more correct to me for English Language, in practical English Usage the answer is, surprisingly, quadrant.
Finally, looking at Google Ngrams, "quintants" is not found in use (in Google's English corpus) even going back to 1800 while "five quadrants" is more common, not even counting instances where there are descriptive words between the two terms: