Before you venture down this path, you must first watch this video...
Each of the big setups easily contains more than 100 full rolls of tape. With that many rolls of tape in use you know that Johan Rijpma didn't splash out and spend money on the
high quality Scotch brand tape, but probably went for something more generic. Looking at the tape you can see the rolls aren't very transparent at all so he didn't even go for the fully "invisible" tape.
This video did start a bit of an inner office conversation about what is
Stop Motion and what is
Time Lapse. Which we basically decided that Time Lapse and Stop Motion are almost identical with the differentiation that that Stop Motion involves an outside force moving or altering the scene that is being filmed.
One could argue that most of the video here is Time Lapse, but the portions starting around 1:30 clearly take place as the base is rotating. You can notice at those particular times that the tape does seem to stop ascending as well, so not much actual time lapsed.
If you just need some inexpensive tape and don't need it to be invisible, you don't need to look any further than the Highland Brand Transparent Tape. It is manufactured by 3M just like Scotch Brand Tapes but it is more utilitarian for offices and times when complete invisibility isn't a necessity. Judging from the video, the tape used there isn't completely clear, and sometimes even has a yellowish tinge. Unless you are wrapping Christmas presents or doing scrap-booking a little yellow color in your tape won't hurt anything.
If you've stuck with me this far and Time-Lapse really isn't your thing you deserve a reward. Here's a bit of Stop Motion for you.