PHYSICAL REVIEW B, cilt.90, sa.16, 2014 (SCI-Expanded)
Coh et al. presented in [Phys. Rev. B 88, 121106(R) (2013)] a systematic search of the simplest so-called "canonical" structures allowing isotropic magnetoelectric response, and reported a total of 30 such magnetic configurations. Using magnetic symmetry we show in this Comment that this listing is severely incomplete, and 14 additional distinct cases satisfying the same conditions should be added. The complete list of these elementary magnetic arrangements is then presented in a short and efficient form as distinct Wyckoff positions of some cubic magnetic space groups.