Because it is readily available locally, I use Sydney sandstone which comes in 600-foot thick deposits throughout the Sydney basin.
It is about 4% porous, so it has internal damping properties. It does not ring when tapped!
Under my Garrard 301 turntable I have two layers of 2" sandstone separated by constrained layer damping, sitting on a 2" MDF platform. The inner plinth sits on three IsoAccoustics OREA Bordeau pucks. The inner plinth is made of three layers of 1-1/4" MDF with more constrained layer damping. MDF is widely used in speaker cabinets because of its stability and internal damping properties.
One day I might replace the motor-board with manufactured stone, also known as acrylic containing stone chips, eg Corian. Manufactured stone has just been banned in Australia because of lung disease issues, though. At least one high-end turntable uses two layers with constrained layer damping in between.
I personally believe you usually benefit from adding both mass and damping, but Linn owners are cautioned to follow Linn's advice!

