The rope you're looking at is very similar to the 5-wire 4-color flat rope I use. (I have about 100 meters of it in my display.) Mine is 220VAC with a common positive.
The only controller suitable for my operation is the original (discontinued) Lynx, of which I have four - maybe six soon - since they switch negative DC. Modification of the board was necessary to accomplish this, and there is more info in the Appendices for the Lynx Manual in the Wiki: You are not allowed to view links.
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Login (240VAC operation, splitting board and light power feeds.)
Additionally I had to change the MOSFETS for the high voltage.
Phil's progress on his low voltage DC board could be just the ticket for you though.
John