Time for a potentially new update. Personally it's a favorite of mine and I've done something similar with Fritzy for our 10 year eurovision ranking this year. Part of my maths course involves teaching voting systems so I'm combining our Modified Borda (aka the eurovision/off season voting points) with an elimination.
So each round the lowest score is eliminated and then a "revote" happens. Your votes are then reranked based on who is left. So if you gave 5 to the person eliminated, everyone below that person moves up in points.
This continues until we reach the top 13 because then the top 13 give points to each of their competitors while the remaining people give points to 12 of the 13.