Total DoS for two different q-point grids, $100\times100\times100$ and $101\times101\times101$, are graphed above. The DoS for $63\times63\times63$, $65\times65\times65$, $71\times71\times71$, $72\times72\times72$, $81\times81\times81$, $85\times85\times85$, and $101\times101\times101$ are same (barely differences of $0.0000000001$). Even numbered grids have a similar DoS too but different from odd ones ($100$ vs. $101$ above). $72\times72\times72$ is the only odd (english) one that matches odd (math) grids.
Any reason for all of this? Which one should I use?
Find some data below (click to zoom in!):