As mysterious as k-points are, why is there a cut-off for an odd and even k-mesh preference?
On the VASP wiki page titled, "Number of k points and method for smearing", they say results when using odd k-meshes shouldn't be compared to those when using even k-meshes (section: Comparing different k-point meshes). In the section "Some other considerations", they go on to say that even meshes are better up to 8 k-points in a direction while odd meshes are better beyond 8. What is the physics behind it or is it a code-level preference?
As an aside: I recently asked a question about odd/even q-points for phonon DoS calculations where I received a comment suggesting that the problem could be similar to that of k-points in electronic calculations.