Hi Bob,
This very subject is one that rattles around my head all the time. Probably to the point that the only time I ever post, it’s about the staples rate of taper…
Anyway, I would suggest you narrow down some of the things that you think affect the reed aperture pre-scrape. Something along the lines of:
Choose your diam., sanding block. (I work in the realms of 65-76mm, with 70mm being the workaday model for concert pitch).
Choose your cane diam.,.. by eye. That’s just an experience thing. It’s very difficult to be consistent by slavishly measuring the tube with calipers without a lot of waste, but I think a 23mm tube or a 24mm tube will pretty much yield the same results, except where a piece cut from your tube is either wide or narrow in its section (possibly ending up with parameters stretching to 22mm or 25mm, which will have pronounced differences..). Your gouge should be shallow enough to prevent you from gouging beyond your desired sanding diam.,
Then try to make your slips as similar as possible, it’s too organic to have a control model exploring the results of a bunch of differently made slips. I reckon not gouging the tails in this instant for the sake of keeping everything as uniform as possible.
The you can try this with a staple (and I recommend you do this also with a working reed). Have one staple with a steep taper and largish eye (say 1.8mm?) and one with a longer taper and narrow eye (no less than 1.2mm). Tie a reed head on and see how they differ? Insert the staple a little more, withdraw a little etc.,
When I mention trying on a finished reed, this is equally important, as the whole head alters its shape and behaviour as it gets scraped. Get your reed to the point you’d put on the bridle then remove the staple and either close the eye of the steep taper staple and open the eye of the long taper staple (without changing the taper where possible). This is all for concert pitch, you’d need to alter accordingly for flat reeds.
I reckon this is a worthy experiment without getting too bogged down. Then you can go on to the next frustrating chapter! But, I have to point out that I scrape/cut a preliminary 23mm scrape to the head before tying on, and even the extent to how far you go with that, has a big say on how you tie on.
Hope this makes helps/some kind of sense.