Formula for extra tier points from AAAs

[RadiantVibe]

I've been looking at a lot of FFR stats lately, and I started wondering about how the extra tier points (ETPs) you earn for AAAs are calculated. I looked for threads on this but I couldn't find anything exact, so I decided to do some analysis myself to figure it out.

Since you currently can't go to the tier points page for another user, I wrote a script that calculates your tier points from your public/token levelranks. I then ran the script against a bunch of profiles on the top 100 AAAs list to get the following data:



I noticed the slope was around 21.6, which seems like it must correspond to the 2160 total songs. I know you only start getting ETPs when you have around 50% total AAAs, and since the apparent max ETPs you can get is 50 (1450 is the max number of tier points possible without any ETPs), we can assume the formula looks something like this:



Simplifying and generalizing this gives:



One key piece of data I found is that 1296 AAAs gives you 11 ETPs (plugging 1296 into the previous formula would give 10 ETPs instead of 11), so from this we can infer that you get your first tier point once achieving at least 50% AAAs. This led me to the following formulas (note that the first formula does not work for lower AAA counts):





TL;DR: Extra tier points can just be thought of as a percentage of total AAAs. You earn your first extra tier point after passing 50% total AAAs, and you gain another tier point for each percentage after that all the way up to 99% total AAAs.