The linked pictures are interesting. The builder used "3mm of asphalt" as dampening for the walls. Unfortunately, it will not do anything here; the physical impedance mismatch will be too great. To have an effective dampening here, only constraining a visco-elastic layer between the granite and another stiff plate along all of the walls would be effective. May as well use 1/4" steel here for the opposing plate; weight is obviously not an issue with this build.
-Chris