In short, Hemingway's accurate ear for speech patterns duplicates the gender-linked mis-communications which exist between man and women in the real world.
As a result of these differences, there are two Jigs: the nurturing, creative, and affectionate Jig of female language, and the manipulative, shallow and hysterical Jig of male.
There are also two Americans: in the female language he is a cold, hypocritical and powerful oppressor; in the male language he is a stoic, sensitive and intelligent victim.