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Helical (wave) decomposition technique is used, from the beginning, to derive and analyze the dispersion relations of magnetofluid waves.Following Jian-Zhou Zhu and Weihong Yang [One chiral sector dominated transfers in helical hydrodynamic-type turbulence, http://arxiv.org/abs/1303.3823 (also submitted for journal publication)], the technique is also used to study magnetofluid statistical absolute equilibria, detailing the results of Hall and two-fluid MHDs.