  We construct a family of Drinfeld associators interpolating between the
Knizhnik-Zamolodchikov associator, the Alekseev-Torossian associator and the
anti-Knizhnik-Zamolodchikov associator. We give explicit integral formul\ae\
for the family of elements of the Grothendieck-Teichm\"uller Lie algebra
tangent to the family of associators. As an application, we settle a conjecture
of Pavel Etingof about the Alekseev-Torossian associator.
  Furthermore, we give explicit integral formul\ae\ for the family of stable
formality morphisms corresponding (in a precise way) to the above family of
associators, and for the family of graph cohomology classes corresponding to
the above family of elements of the Grothendieck-Teichm\"uller Lie algebra. It
follows in particular that the ``logarithmic'' Kontsevich formality morphism
corresponds to the Knizhnik-Zamolodchikov associator.
