The scaling properties of three-dimensional magnetohydrodynamic turbulence
with finite magnetic helicity are obtained from direct numerical simulation
s using 512(3) modes. The results indicate that the turbulence does not fol
low the Iroshnikov-Kraichnan phenomenology. The scaling exponents of the st
ructure functions can be described by a modified She-Leveque model zeta(p)
= p/9 + 1 - (1/3)(p/3), corresponding to basic Kolmogorov scaling and sheet
like dissipative structures. In particular, we find zeta(2) similar or equa
l to 0.7, consistent with the energy spectrum E-k similar to k(-5/3) as obs
erved in the solar wind, and zeta(3) = 1, confirming a recent analytical re
sult.