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The Collaborative International Dictionary
Superparticular

Superparticular \Su`per*par*tic"u*lar\, a. [L. superparticularis. See Super-, and Particular.] (Math.) Of or pertaining to a ratio when the excess of the greater term over the less is a unit, as the ratio of 1 to 2, or of 3 to 4. [Obs.]
--Hutton.

Wiktionary
superparticular

a. 1 (context mathematics obsolete English) Of a natural number, being larger than another natural number by a unit fraction of that smaller number. 2 (context mathematics music English) Pertaining to a ratio of any whole number to the next below it (i.e. tfrac{3}{2}, tfrac{8}{7} etc.).