For those interested in traditional technology, here’s a list that might be helpful. Sorry, the photos and diagrams are all copyrighted, so I can’t just scan and post them. I’ll just give you a description. You can then decide if you want to find a copy to review for yourself.
Diagram of a breeching reamer with pilot.
(Stelle and Harrison. The Gunsmith’s Manual. page 165.)
The diagram shows a reamer with a solid pilot (no bushing). The texts state that the pilot should fit the bore (and it also notes that if it does not fit but is close, that paper can be wrapped around it to make it fit better). The reamer has four end-cutting mill teeth and four spiral flutes (with a very slow twist), which the text explains are necessary for carrying away chips. The text describes how to make this tool, and notes that the smith will need to “turn them to the size and shape” required. That is to say that they suggest using a lathe to make the blank from which the reamers teeth and flutes are then filed. It suggests that the pilot may be “about an inch”. (The diagram shows the pilot that is in length about 1.5 times the diameter of the reamer. I mention that for the reason that I think the proportional dimension is more relevant than the actual length.) The diagram does not show the shape of the shank.
Photo of a breeching reamer with pilot.
(Dillin. The Kentucky Rifle. Page 64)
Item #2 in the photos for tools on page 64 shows a fluted reamer, simply described as a tool “for preparing the breech for the threading tool”. It has straight (not twisted) flutes. The pilot has no bushing, and its length seems to be about 2 times the diameter of the reamer. The shank of this tool looks to be four-sided and tapered, suggesting that it would be fitted to a brace with a tapered-hole lantern.
Diagram of a breeching tap with pilot.
(Stelle and Harrison. The Gunsmith’s Manual. page 167.)
The diagram shows a fluted tap with a solid pilot (no bushing). I find it difficult to interpret from the rakes on the flutes whether this is describing a cutting tap or a swage-type tap (jam/jamb tap). I find the text to be similarly confusing on this point. Granted, the text uses the word “cut”, but that does not necessarily mean that they are describing a cutting tap. The pilot seems to be about 2 times the diameter of the tap. The shank of this tool shows a short, even sided head (probably four sided). Note that their diagram shows only one of two taps. The text describes two taps. It reads:
QUOTE: "(page 167) Breeching taps should be made in pairs, one tapered a little and its mate made straight and with a full thread, so as to cut full at the bottom where the thread terminates. If the first tap be not tapered a little, the thread should be nearly all removed at the end, and gradually increased for five or six threads, (page 168) when it will be full size. A stem or projection is made as shown in the cut, Fig. 36, which enters and fills the bore of the gun and so serves to insure a thread straight with the barrel. If the bore be larger than the extension, slip over it a piece of brass tube or ferrule of some kind, until it fits a little snug in the bore. If but little be wanting to make the fit, a piece of writing paper or a bit of card may be wrapped around it. Old-fashioned gunsmiths have been known to wind tow around an extension to make a fit."
The text then offers additional comment about the recommended length of "extensions" (pilots) for various types of firearms (because of different bore sizes?), etc.
Photo of a breeching tap with pilot.
(Dillin. The Kentucky Rifle. Page 64)
Item #1 in the photos for tools on page 64 shows a breeching tap, simply described as a tool “for threading the barrel for the breech plug”. The photo is small and dark, but it seems to be of a similar type to that described in Stelle and Harrison, p 167. The pilot has no bushing, and its length seems to be about 1.75 times the diameter of the tap. The photo does not show how the shank is shaped, but instead shows it mounted in some sort of handle (of which only a small portion is shown).
Diagram of a mill cutter with a bushed pilot.
(Stelle and Harrison. The Gunsmith’s Manual. page 170-172.)
The diagrams on page 170-171 show three different mill-head cutters, each with a bushed pilot. These mill head cutters do not have flutes. The text explains that these tools are designed to cut the recess for the head of a breech loading cartridge. The text suggests a brass bushing, and a neck (or narrow section) is provided between the bushing and the cutter. The brass ferrules are press fitted and turned to size in place (that is to say that the bushing does not spin). The text explains that this small neck is provided as a place to catch chips. The text suggests that eight teeth are sufficient. The text also recommends against using drills or four-fluted reamers for this job, stating that they do not provide as good a result as do these mill-head cutters for this job that requires a perfectly concentric, well finished face.
(These cutters diagram look much like the mill head cutter with a brass bushing in Jim’s photo.)
Photo of an assortment of handmade taps
(Irwin. Guns and gunmaking tools of Southern Appalachia. Page 55)
The photo shows tools that had been used by Appalachian smiths of the Howell family. The photo shows an assortment of thirteen taps, several simple screw plates and two tap handles. The taps are not organized into sets, as are those in Jim’s photos. However, it is noteworthy that several are of the tapered type. The larger examples clearly show the hand-filed flute, similar to those in Jim’s photos. All of these taps are made from hand-forged blanks, with shanks very similar to those in Jim’s photos.
That's all the documentation I’ve found thus far on this topic. I think we can assume that most of these tools were used on iron (not steel) barrels. And there are important differences in the technology required for those types of metals. As Jim has explained in a different thread when describing how to use a swage tool to make iron screws, swaged threads are stronger that cut threads when using iron that has inclusions in it.
Steel barrels are generally too hard to be effectively tapped with swage taps anyway. Cutting taps for steel barrels. Swage taps for iron barrels. That's how I understand it, anyway.