While the harmonic Quad has some definite theoretical advantages, ie is likely not as good as one offering 8,9, or 32 frequencies.
The harmonic quad is designed to produce 4 frequencies at the same time. This can produce quicker results in some cases but it is actually possible for multiple frequenciews to interfer with each other, actually reducing effectiveness in some cases.
This is why I recommend using 4 or more separate frequencies at different times if time is available.
Otherwise, I have not seen any scientific studies that show the Harmonic Quad machines to actually be better.