We study the discrete Painlev{\'{e}} equations associated to the (Figure presented.) affine Weyl group which can be obtained by the implementation of a special limits of (Figure presented.) -associated equations. This study is motivated by the existence of two (Figure presented.) -associated discrete both having a double ternary dependence in their coefficients and which have not been related before. We show here that two equations correspond to two different limits of a (Figure presented.) -associated discrete Painlev{\'{e}} equation. Applying the same limiting procedures to other (Figure presented.) -associated equations we obtained several (Figure presented.) -related equations most of which have not been previously derived.