  Given a pair of integers m and n such that 1 < m < n, we show that every
n-dimensional manifold admits metrics of arbitrarily small total volume, and
possessing the following property: every m-dimensional submanifold of less than
unit m-volume is necessarily torsion in homology.
  This result is different from the case of a pair of complementary dimensions,
for which a direct geometric construction works and gives the analogous theorem
in complete generality. In the present paper, we use Sullivan's telescope model
for the rationalisation of a space to observe systolic freedom.
