Most dance studios utilize a material called “Marley” (Marlay/Matlay is the same thing) for creating a dance floor surface texture. This material is widely used and is essentially heavy PVC vinyl sheeting similar to the material that is presently being marketed and sold as sound isolating material.
In fact, it is the same material.
If you have ever attended a National Association of Music Merchants (NAMM) trade show you may have seen vendors offering heavy PVC vinyl for this purpose. This heavy PVC vinyl sheeting greatly attenuates sound, even after it has been scuffed and torn up by “dancing feet”. Sound sees no difference! Ugly becomes beautiful as this “old stuff”, which has been peeled off a floor, gets hidden between layers of beautifully painted drywall to isolate sound.
For best results, “Marley” (Matlay/Marlay) should be sandwiched between drywall sheets of varying thickness (1/2” & 5/8”) which will vibrate at different frequencies, helping to eliminate resonance.