# Convention for the grading in spectral sequences

Usually spectral sequences are defined together with a grading on it, the differential $$d_r$$ on the page $$r$$ taking $$E_r^{p,q}$$ to $$E_r^{p-r, q+r-1}$$.

This convention on the grading on the differential appears to be the standard one. Why is so ?

Setting $$\bar E_r^{p,q} = E_r^{p-q, q}$$ the diffential takes $$\bar E_r^{p,q}$$ to $$\bar E_r^{p-1, q+r-1}$$ which is easier (in my opinion) to handle both for the degree of the diferential and for question of convergence.