Support table or shelf for turntable

Right, cement floors actually don't buy you that much since the entire structure of the house or whatever is moving right along with the surface of the Earth. And since the Earth's surface is moving like a wave on the ocean there are six count em! directions that vibration can travel. 

"With a wall mount system comes other problems...". Absolutely correct. I have used one with great success and also experienced horrible failure in two different houses. The latter was due to excessive vibration transmitted through the walls even though the wall mounted was secured firmly to the home’s support studs.

Following eliminate of vibration from external sources comes the frontier of draining and eliminating vibration and resonance produced by and within the turntable rig itself. This requires a completely different approach IME. "Soft isolation" approaches trap these vibrations and resonances within the component by eliminating the earth vibration ground. Need an approach that wicks away the vibration/resonance from the TT rig and then dissipates it.

Dave

@toddverrone,

Are you getting it now?

When I receive the slate plinth for the AudioGrail 401 in the coming month, I’ll try it on a wall (reinforced concrete basement pour), on the concrete floor (4"), on the oak table, and on a light metal Linn style stand. My intention is to spike and tight everything possibly on granite slab. East Coast-not many tremors!
I’ll also try maple, springs and sorbothane for the hell of it. I’ll report back. [Edit: Maybe also the sandbox as suggested by @islandmandan for whom I have respect.] Thanks all.

"East Coast- not many tremors!",

While I have an issue with that, as I live on the east coast and have experienced many, ..this is about more subtle vibrations that aren't readily noticed by us humans, but ARE by our beloved music transducers.

Good luck!