  Given a manifold, we have a super bracket on the graded algebra of
differential forms by {A,B} = (-1)^{a} d(A \wedge B). We study when {A,B}_{t} =
(-1)^{a} d(A \wedge B) + F(a,b) A \wedge t \phi \wedge B becomes super bracket
for a 1-form \phi. And we show a concrete small example where the situation of
parameter t is not identical.
