These machines were semi-custom made, the axial length of the plotter drum , varied for different sites with widely different tide ranges.
So custom made tapes along with custom-made plotter papers makes sense.
Especially as I'd not allowed for parallax in the lower view. Taking that into account, the width of tape cpmes out to 1.62 inches, perhaps 1
5/8 in wide. Spiggot spacing of 13/8 inches would not give 2 to 2.5 inch slip , but 13/16 spacing would. But then 43 spiggots to a pulley of 11.12 in diameter. Setting a dividing circle to 43? com[ared to step and repeat punching at any desired interval makes sense. So looks like non-standard holes pitch on the tape for sensible number of spiggots, ie that idea comes to a grinding halt, to zero in on the slippage value.