Reduced torsion pairs

Let H   be a finite dimensional hereditary algebra of infinite representation type over an algebraically closed field. A torsion pair (T,F)(T,F) in H-mod is called reduced   if there are no indecomposable Ext-projective modules in TT as well as no nonzero Ext-injective modules in FF. An anti-chain of reduced torsion pairs of width card K will be constructed.