Usage examples for largeness:

• Unconsciously the man's trade had imparted certain elements of largeness to his mind. "Masterman and Son" – W. J. Dawson

• By greatness, I do not only mean the bulk of any single object, but the largeness of a whole view. "The Grammar of English Grammars" – Goold Brown

• Of these lords some drew near to hear tell of Arthur's courtesies; others to marvel at the pride of his state; these to have speech with the knights of his chivalry; and some to receive of his largeness costly gifts. "Arthurian Chronicles: Roman de Brut" – Wace