Lst try, then I'll assume that I'm missing something. 1 mm = roughly 1 degree if your tool post is 115mm D. 115mmx Pi(D) = circumference of 361.1, an error of .003/division. Once installed, you can reference from your existing graduations. Write major divisions on the tape, if you want. No math, just counting graduations.
Last shot is usually the ringer.
Now I believe I understand what you are suggesting and why. Pretty big coincidence if you ask me!
@Bandit confirms my understanding.
Kinda cool that you noticed that!
I guess I was blind to your discovery cuz I would never have suspected such a coincidence.
But........
First, I could never accept the 361.1 because the error accumulates at either end. And even though I said I'm just looking for quick and dirty, I still have a pretty tight standard for what that might mean. Prolly within a 3rd of a degree???
Second, the 115 was only a rough number (in fact, I'm not even sure I remember it correctly) for the OD of the bottom of the compound. It could be significantly more or less.
I suppose I could make the base either bigger with a shim layer or smaller by turning it on the lathe a bit such that the result is exactly 360mm.
But as simple as that may be, it's still not like a ring marked in degrees with bold numbers at every 15 degrees, even bolder at 30, and still bolder yet every 90. In my opinion, that is how all lathe compounds should be marked. I'm just trying to get closer to that rather arbitrary minimum standard.