Its a crossbar patch bay really. Just automated. You might find this kind of thing in ATE.
This is for your "FX Router MK1"
I thought about it a bit more about it. Heres a drawing of how it might work. Add the matrix options you need, I put all of them in as an illustration.
If yoiu dont need so many options,then just simplify and ude fewer switch points.
Sorry about all the random numbering! If I get time I'll tidy it up.
A simple counter would need decoding in to operate node swtiches -a lot of faff.
Its an ideal job for an arduino. Let it count the input and work out the relay/ analog switch configuration. Add a stunning LED display.
You only need code for a look up table and a counter. Check out this- Job done ADG2188 ic. EVAL-ADG2188EBZ You can easily get arduino to control it.
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You can buy this thing linkbone.com/audio-matrix-switch-balanced-xlr/