gai

From Old French gai, from Old Occitan gai, from Gothic *𐌲𐌰𐌷𐌴𐌹𐍃 (*gaheis, “impetuous”); or from Frankish *gāhi (“fast, sudden, impetuous”), Frankish *wāhi (“pretty”), both from Proto-Germanic *ganhuz (“lively, fast, quick”); or (per Liberman, Chance, Meier) from Latin vagus (“wandering, inconstant, flighty”), with *[w] → [ɡ] as in French gaine. Doublet of vague in that case. Cognate with English gay and Italian gaio.