tripleness
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tripleness — noun The state of being triple or tripled … Wiktionary
trinity — Synonyms and related words: 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,… … Moby Thesaurus