From COP to COM
This issue was raised by a close friend of mine. His friend in turn, told him that he got totally incorrect VTF and after correcting it he got heavy distorsion. The VTF was set by my friend and with his gauge in the first place.
It was a bit of a mystery.
I've experienced strange readings some times myself, both in my own systems and in others. But I never really dug deeper to it, because I didn't think it was that important. But if you'd look closer to the scenario with my friends friend, you'll find it's a perfect example of the "phenomenon" (woooh).
The "phenomenon" is that VTF is greatly influenced by the relationship between the center of mass (COM) and the center of pivot (COP).
- If COM lies above COP and you slope the tonearm slightly up at cartridge position, COM will move backwards.
- If COM lies below COP and you slope the tonearm slightly up at cartridge position, COM will move forward.
Tonearm manufacturers can control the COP, but they can't control COM because it depends on the cartridge. Franc Kuzma didn't put the headshell low to make the tonearm look cool. And the big counterweight wasn't placed low by chance. If you go to detail on the "four points" you'll find several such ingenious designs in that arm, like keeping the pros of a unipivot and removing the flaws and lability by adding "invisible" points. Another one is to make most cartridge alignments with your rough hands, and make the final two VTF and azimuth like a woman with just a sensitive gauge and a tiny allen key.
The "phenomenon" can be visualized by looking at a carpenter's square:
This is intuitive, I know, but since the COM is very close to COP (about 1mm), this has great impact on VTF. When you start balancing a tonearm, you start with just the weights of the tonearm, cartridge and counterweight. In this situation, VTF=0 which means b0=0 above. When the counterweight is moved forward, VTF will increase, which means also b0 increase. But this increase in b0 is very small since VTF is just a few permille of the total weight.
My friends friend was using a stylus gauge with a measuring platform which is 3mm thicker than an LP, and a new 2mm platter mat which he didn't like so he got rid of it. So, totally unaware, he was measuring 5mm higher than when the cartridge was calibrated last time. 5mm? That's a very small angle for a 12" arm. Could that really matter that much?
Let's calculate what that means.
We need some measurements from an arbitrary setup so I assume some (it could be mine

):
Start by calculating VTF when the stylus is correctly placed, i.e. at the same height as when playing an LP:
With VTF=1.72g I get the lowest THD, which means the position of the resulting force is 288.8mm away from the stylus along the tonearm.
Now, what happens when I lift or lower the cartridge? I can calculate the actual VTF for some different angles. If I would raise the cartridge by 5mm, it means approx 1 degree angle for a 12" arm. The vertical distance between COM and COP also affects this calculation. It's not so easy to find out this dimension, but 10-20mm or more is not uncommon.
So, my friends friend thought he had VTF=1.28g, so he raised it by half a gram. It is obvious that this has impact on the performance of highend cartridges, and it certainly was for my friends friend. Even more if you have a short and/or heavy tonearm.
I'm quite doubtful to some of the occuring theories on SRA and VTA. The differences between cutting angles are greater than the errors we (users) normally make, and it seems the stylus geometry is quite similar within a range of angles (for this reason?)
if you're using correct VTF. So, I simply think that some people optimizing SRA/VTA in fact optimize VTF for their specific case.
In summary, my thoughts about changing VTF are:
- The contact area between stylus and groove change. Partly because higher/lower force, partly because the cantilever is sloped causing a different stylus angle. The contact mechanics between stylus and groove has a place for minimum scanning distorsion, and I think the combination of force and contact angle affects the magnitude of this HF distorsion.
- The geometry between the coils and magnets change. The center point gets moved. Both lateral and vertical modulation gets affected even if VTF only changes vertical geometry. The magnetic field is very carefully adapted to be linear within a curved surface. With wrong VTF you may end up outside this surface for both vertical and lateral signal.
- SRA itself doesn't change any positions in the generator. For sure it changes the scanning a little bit, but as you know, vertical modulation is only the difference signal and not at all as important as the lateral.
I don't know if this was bullet proof, but I hope it's at least some thoughts.
PS. There should be some members here with industry information on how the span for VTF is elaborated by them.