  It is shown that the second-order moment of helicity distribution (the
Levich-Tsinober invariant of inviscid hydrodynamics) can be preserved as an
adiabatic invariant in magnetohydrodynamics. The distributed chaos approach and
inertial range phenomenology have been developed for the magnetohydrodynamic
processes dominated by this adiabatic invariant, and some consequences of the
theoretical consideration have been compared with results of direct numerical
simulations and measurements in the solar wind. Helical scaling in interstellar
MHD turbulence has been also briefly discussed in this context.
