QCD Thermodynamics at $N_t=8$ and 12

We present results from studies of high temperature QCD with two flavors of Kogut-Susskind quarks on ${16}^3\times 8$ lattices at a quark mass of $a{m}_q=0.00625$ and on ${24}^3\times 12$ lattices at quark masses $a{m}_q=0.008$ and 0.016. The value of the crossover temperature is consistent with that obtained on coarser lattices and/or at larger quark masses. Results are presented for the chiral order parameter and for the baryon number susceptibility.