The tangential cutter is an excellent idea, and I intend to build myself one once I have figured out how to overcome its inherent flaw: the toolbit is held by a single screw, and whenever I tried a single screw to hold my toolbit, whatever its design, the bit slipped during use, messing up my setup, and I ruined my work piece. Not again.
If you still want to go that route, your easiest way to do that is to get hold of a screw of appropriate size and turn its shaft into a R8 mandril, and give its head a slot to hold your existing tangential tool holder, so that it looks somewhat close to this:
and as a 2D drawing
Since the toolbit is not vertical to its axis of rotation, the risk of slipping out of its slot is much reduced, and the four screws holding the 6mm bit hold it much firmer than a single screw ever could. The dimensions on my drawing refer to my own machine. With its MT4 taper and 1.5 kW motor, it is somewhat stronger and bigger than yours, but otherwise very much the same design. When I built this flycutter many years ago, I wasn't aware of the tangential cutter, and thus its cutting edge is of the conventional design, with two faces to be ground.
When I bought my milling machine, it came with a face mill using four brazed carbide cutters - easy to replace and easy to sharpen, Just as I like it. But it is still two faces that need sharpening. Over the years I learned how to sharpen them, and how to mount them in the facemill, so that I can obtain an (almost) as-polished surface. It looks like this:
I came also into possession of a large screw, with a head more than 80mm wide. It has been turned down to something close to another facemill, with the head ready to accept 5 cutters. And there it languishes . . .
Clearly, a tangential cutter is not present, yet. What needs to be done here is to copy the angles from my attempt at making a less slippery tangential tool onto this facemill and then study the consequences - such as what setup is needed to cut the slots at the proper angles. So if you can keep me motivated . . .
From your side, I need to know what operating system you use so that we can exchange 3D files, what the maximum diameter is you care to use (i.e. how much torque does your machine produce?) And if you want a as-polished surface, your rpm's cannot be at the bottom of the range, i.e. your flycutter is size limited by the power (and stiffness!) of your machine, and your setup.

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