Colour-magnitude diagram of our targets (coloured circles) compared to a magnitude-limited sample of stars (grey two-dimensional histogram). Our targets are coloured according to their ellipsoidal-implied q_min for targets with P_orb > 1 day (Section 2.2), or by MMMR for targets with P_orb < 1 day (Section 2.3). Many targets are somewhat elevated above the main sequence, but it is unclear whether this is due to light from the secondary star or due to inflation of the primary radius (we note that the latter is selected for by the ellipsoidal selection method).