No problem Ria, happy to help. All of the beaded cord I've ever seen is pretty much the same. There is some that has twice as many beads, but the bead size is regular, about 4.5mm diameter.
What I'm saying is that I'd be surprised if the cord I have is any different to the cord you have. Are you using the 3d printable sprockets?
If you look at the sprockets, with the beaded cord in them, it should be obvious if they are mismatched. You should be able to wrap a length of beaded cord right around the sprocket and have the beads line up at the overlap.
If, when you pull the gondola, the sprockets move (rather than the cord skipping over the teeth), then I think the fit is ok. Remember it is possible to add weight to the gondola too, if you need to. And if you get skipping, reduce the speed & acceleration - though you might already have it low (less than 1000).
Remember that you can use "draw outline selected" to quickly sketch the outline of the area you have selected, rather than wait for pixel shading to finish.
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