Sascha Franck
Rock Star
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OK, let's do napkin paper math with low estimates.
1, 3, 6, 9 positions for 7 knobs, 4^7. Let's say the test signal takes 10 seconds. That's still 46 hours.
I think interpolation would really only make sense if all you wanted is to kinda "morph" between two specific settings.
But that could as well lead to some interesting inbetween things.
Let's say setting 1 is GBMT=2222, setting 2 would be 8888. You'd also set the tonestack in your capturing device accordingly. Once done with those two captures, you'd tell the device to please interpolate between the two as good as possible - the rest would happen behind the scenes. Whether that'd result in anything meaningful for inbetween tonstack values, whether it'd be any authentic - that'd largely depend on the complexity of the amp and the interpolation algorithm.
It could then be possible to add another capture, should the calculated interpolation not work out in a desirable way.
I've got absolutely no idea whether that'd be technically possible.