Many thanks to everyone for the substantial body of replies.
Based on people’s suggestions (and dealing with the lathe first), making inserts for my existing tailstock die holders seems a logical solution. I’m not really sure how Jason has arrived at his solution though. Have you made a completely new bored-out body (the black part), Jason, to go over the straight shaft/spigot of the morse taper die holder mount? And what is holding the taps – a cut down chuck-type tap wrench? If so, what did you have to do to unite it with the black sleeve? I did watch your video with interest many months ago and never got round to asking you these questions at the time.
Bernard’s and Andrew’s lathe tapping solutions are impressive. Bernard’s looks doable, though would only be good for small taps as he says: Andrew’s looks like a work of thaumaturgy, and beyond my own powers to make it. Perhaps if I understood more precisely how it is made and works though it might be a less daunting prospect.
DC31K, I’m glad you raised the points about the ebay holders probably only fitting ISO taps; I was wondering about their fit. As for ER collets, I did know of the existence of specific ER tapping collets, but wondered, for reasons mentioned by Jason, whether it would be advisable to resort to this no doubt very effective but more uncompromising solution on my mill or mag drill. For the small amount of power tapping I’ve done on my milling machine (still out of action at present) I just used standard ER collets. They seemed to hold successfully when tapping steel as well as brass, but then the maximum I’ve power-tapped on the mill has been M8. The taps used were of course either spiral point or spiral flute into through-holes.
Coming to the mag drill specifically, mine is an MT2 taper 12 speed affair (slowest speed 100 rpm) with a reversible spindle. One of its marketing points is its tapping capabilities. I’ve tapped holes only up to M10 on it so far. At 100 rpm there is plenty of time to react and stop the spindle before putting it in reverse. Because there is no quill spring the tap feeds itself out in reverse and you don’t even have to hold the capstan handle at the end to stop the sudden upsurge you can get on a mill or bench drill.
I currently hold the tap in the mag drill’s supplied Jacobs chuck, which kind of works but very frequently lets the tap slip unless you tighten the jaws insanely (for me at any rate) firmly. I don’t own an MT2 ER Collet chuck (only straight shank and R8). I’ll probably buy one to see whether this is a better solution for holding taps in the mag drill using standard ER collets. I might also buy one of the ebay holders, which Bernard suggests perform OK.
The other possibility I’ve considered for mag drill use to avoid tap slippage is hex shank taps, which seem to be commonly and cheaply available in the smaller sizes at any rate, but this brings us back to whether I really want that degree of security against tap slippage if it carries with it a corresponding risk of tap breakage.
Bernard, is this what you mean by the Vertex tapping chuck? Or this one? How do they hold the tap exactly?