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We present the synthesis and physical properties of a new breathingpyrochlore magnet CuAlCr$_4$S$_8$ with the help of synchrotron x-raydiffraction (XRD), magnetization under ambient and applied hydrostaticpressure, heat capacity, and muon spin relaxation/rotation ($\mu$SR)measurements. CuAlCr$_4$S$_8$ exhibits positive thermal expansion with concaveupward temperature dependence. We observed a sharp antiferromagnetic orderingtransition of a purely magnetic nature at 20 K, which shifts by as much as 3.2K on the application of 600 MPa pressure. The breathing factor (B$_f$ = $J'/J$)in breathing pyrochlores can be an important parameter to tune the magneticground states of the pyrochlore lattice. The breathing factor can be modulatedthrough breathing ratio, the ratio of sizes of the two tetrahedra, by usingdifferent elements at A and A' sites in the breathing pyrochlore structure. Wefind that CuAlCr$_4$S$_8$ has a breathing ratio of 1.0663(8), which iscomparable to other sulfur breathing pyrochlores.

Synthesis, physical and magnetic properties of CuAlCr$_4$S$_8$: a new Cr-based breathing pyrochlore