You first want to consider that tapes will travel on different paths through different machines. From this we go into forced-guidance tape paths versus precision guidance ones.
This is a fun FAQ that people ask MRL.
The answer is given in a technical paper by J. G. McKnight that explains the method. If you're a physicist, you could find the method rather elegant, as it reverts to first principles.
I glean from your question that you might want a way to set the repro azimuth (ORA) just once, and then leave it alone?
You cannot do that, because each tape will most probably have its own ORA in any machine.
(No one has yet brought up the matter of accurate tape width, and of tape slitting. The variable that this introduces into the subject of guidance is huge.)
A question that I like to ask of training class participants (here I mean training tailored for tape professionals from the recording industry) is to ask them to explain the difference between forced-guidance and precision (non-forced) guidance transports and headblocks.
Or, ask them what is the major difference between the Ampex ATR-102 and the Studer A80 headblocks?
Very, very few will correctly answer this, before sitting through the day's training and actually observing what is going on with tape guidance and azimuth.
If by this you meant without alignment tones, then that's another FAQ, and an excellent one that I believe the OP here asked me sometime in the past year. Let's leave it hanging for now.