Triplicity

(n.) The state of being triple, or threefold; trebleness.

Thesaurus Entries

clover, deuce-ace, leash, set of three, shamrock, tercet, ternary, ternion, terzetto, three, threeness, threesome, tierce, trefoil, trey, triad, triality, trialogue, triangle, tricorn, trident, triennium, trihedron, trilogy, trimester, trine, trinomial, trio, triphthong, triple, triple crown, triple threat, tripleness, triplet, triplicity, triplopy, tripod, triptych, trireme, triseme, triskelion, trisul, triumvirate, triune, triunity, trivet, troika