On this page you will find designer demi cup bras. Demi cup bras have also been referred to as half cup bra and have a square neckline. The straps are usually on the side to create a cleavage and uplift. Demi derives from french meaning half. In this case a Demi Cup bra is a partial cup bra that covers from half to three quarters of the breast tissue. It is different from a balconette bra. The balconette bra pushes the breast tissue forward.