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We show how to compute the Tamarkin-Tsygan calculus of an associative algebraby providing, for a given cofibrant replacement of it, a `small'$\mathsf{Calc}_\infty$-model of its calculus, which we make somewhat explicitat the level of $\mathsf{Calc}$-algebras. To do this, we prove that the operad$\mathsf{Calc}$ is inhomogeneous Koszul; to our best knowledge, this result isnew. We illustrate our technique by carrying out some computations for twomonomial associative algebra using the cofibrant replacement obtained by theauthor in 1804.01435.

The Tamarkin--Tsygan calculus of an algebra a la Stasheff