  A factorial-moment analysis with real (integer and non-integer) phase space
partition is applied to $\pi^+$p and K$^+$p collisions at 250 GeV/$c$. Clear
evidence is shown for self-affine rather than self-similar power-law scaling in
multiparticle production. The three-dimensional self-affine second-order
scaling exponent is determined to be 0.061$\pm$0.010.
