Thanks for the suggestions, all.
First of all, I'm such a newb with clarinets that. I want to make sure I understand the terminology. When you refer the the "end shoulder" you're talking about the rim of wood most in the foreground in the photo?
Second, regarding the condition of the tenon overall, I see no other signs of damage on the other shoulder, or in the socket. That's not to say there isn't wear. A check with a vernier caliper suggests that the other shoulder is round (more round that the other tenon on that joint, for example), but it could certainly be worn evenly around. There may be wear, perhaps uneven wear, in the socket, too, but I don't think I have a good way to check that.
so I have a few questions about the repair suggestions.
Re: a tenon graft, out of the question for me right now.
Re: Option 2 below, do I understand correctly that you can mix cyanoacrylate glue into epoxy?
Re: Option 3 below: If i understand this, you're suggesting building up the missing area until it's round, and then binding it (on both shoulders) with band of flat silver.
A: does that require sanding down the good portions of the shoulder to accommodate the thickness of the silver? Or are you assuming both shoulders are too narrow, and it's pivoting on the cork when I rock it (it kinda feels like that might be the case) and the "right thickness" of silver is a shim that makes up the difference? Measuring the end shoulder across an apparently undamaged diameter, it is about 0.6mm smaller than the upper shoulder of the tenon. This makes the end shoulder about 1.0 mm smaller than the mouth of the socket, and the upper shoulder about 0.4 mm smaller than the socket.
B: what metal thickness of silver are you thinking about as a minimum?
C: I have a few samples of carbon fiber cloth laying around. Assuming I were able to cut the stuff to size, what about a ring of carbon fiber composite saturated in your epoxy/superglue binder, instead of the silver?
Also, seems like I will need to re-cork after this is done. Would it be better to leave the existing cork in place until the rest is finished? Or should I remove it and temporarily wrap something thicker around to act as "formwork" for the build-up?
Thanks for the help.
Option 2: Clean very thoroughly, then build it up with epoxy (tinted with black pigment powder), or granadilla dust and low viscosity superglue, then turn it to the correct diameter.
Option 3: As above for the end shoulder, then glue silver rings (of correct thickenss) on both shoulders for stability and strength. I often do this for wobbly tenons and I don't think one has ever failed. For the end one I form the ring over both edges of the shoulder, so glue is not really required. The devil, as for most repair work, is in the detail.