I'm currently getting confused about indices in some spectral sequences. Assume we work in the category of modules for simplicity. Let $A^\cdot$ be a (bounded on the right) complex and let $B^\cdot$ (I don't think we have to assume anything about the boundedness of $B$). I want to compute $Ext^n(A^\cdot,B^\cdot)$, which is classically called hyperext (and sometimes denoted by $\mathbb{E}xt$.
Now, (perhaps assuming $B^\cdot$ to be bounded on the right), there exists a spectral sequence
$$E^{p,q}_2 = Ext^p(A^\cdot,H^q(B^\cdot)) \Rightarrow Ext^{p+q}(A^\cdot,B^\cdot).$$
There should be an analogous by switching A and B, but I'm unsure of the indices, so my question is
is $$ E^{p,q}_2 = Ext^q(A^\cdot,H^{-p}(B^\cdot)) \Rightarrow Ext^{q-p}(A^\cdot,B^\cdot) $$ the right thing?
Thanks.