Lewis & Short

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quartānus, a, um, adj. [quartus], of or belonging to the fourth; esp.,

  1. I. Of or occurring on the fourth day, quartan: febris, Cic. N. D. 3, 10, 24; Plin. 7, 50, 51, § 166; Mart. 10, 77, 3.
    Hence, as subst.: quar-tāna, ae, f. (sc. febris), an ague occurring every fourth day, a quartan ague (class.): in quartanam conversa vis est morbi, Cic. Fam. 16, 11, 1; cf. Cels. 2, 1, 20; Plin. 22, 25, 72, § 150: frigida, Hor. S. 2, 3, 290.
  2. II. Of or belonging to the fourth legion; plur. as subst.: quartāni, m., the soldiers of the fourth legion, Tac. H. 4, 37; Inscr. Orell. 3118.