Glad the "pads" are helping out the situation. They are decoupling the TT from the resonances of the shelf that it is sitting on. Something I suggested you look into in an earlier post.
It is the opposite approach of Stringreen which seeks to couple the shelf and table to "the center of the earth" which is highly effective but can be costly or impossible to do in some situations.
If you can't switch to a much more solid base you can experiment a bit by adding some other dissimilar materials with the "pads" to possibly gain even better isolation from the shelf. You can try layering say a maple block on top of pads than another set of pads then the TT. Some TT makers build their plinths in a similar manner.
It is the opposite approach of Stringreen which seeks to couple the shelf and table to "the center of the earth" which is highly effective but can be costly or impossible to do in some situations.
If you can't switch to a much more solid base you can experiment a bit by adding some other dissimilar materials with the "pads" to possibly gain even better isolation from the shelf. You can try layering say a maple block on top of pads than another set of pads then the TT. Some TT makers build their plinths in a similar manner.

