Potential

This article is a work in progress. Please expect frequent changes. Help and feedback is much appreciated!

Potential is a mechanic added in version 1.1.0. It acts as a value representing the player's skill level when playing online. It does not affect gameplay in any way, with the exception of unlocking World Mode's map 2-3 (see Singularity § Anomaly). Playing songs while online will affect this value, displayed on the icon of your partner at the top of the screen.

Ranks

There are six different backgrounds for your Potential rating representing six distinct ranks. The following table includes all ranks, along with Potential required and rough descriptions of them.

Color	Rank	Potential	Description
Blue	Past	0.00	The starting rank.
Green	Present	3.50	This rank likely encompasses people playing mainly on Present difficulty.
Purple	Future	7.00	Purple-ranked players are probably starting to break into more difficult Future charts.
Shiny purple	Future+	10.00	Those in this rank have probably cleared all level 9 charts and a few level 9+ charts. At the higher end, they've cleared most, if not all, of the Future charts in the game.
Shiny red	Beyond	11.00	Anyone with this rank likely has hard cleared all Future charts, with many of them being Pure Memories.
Starred red★	Beyond+	12.00	A rank held by the most skilled, most consistent players in the world.

Mechanics

Note: Information is subject to change. Research at the Japanese Wiki is still ongoing. Most of the research credit goes to choka_noah and is posted here with their permission.

There are several relevant quantities to the Potential:

Chart constant - a value inherent to a chart, rounded to the nearest 1 decimal point
Chart potential - a value obtained by adding a bonus based on the score achieved to the chart constant
Recent entries - a list of 10 plays with the highest chart potential, out of the 30 most recent plays (charts can appear more than once, hence "plays")
Best entries - a list of 30 unique charts with the highest chart potential obtained on, of all time (charts can only appear once)

Potential is the average of the 40 total chart potentials recorded in recent entries and best entries. It is displayed up to two decimal points, with any more being truncated.

There are 2 special cases wherein Potential cannot decrease:

Obtaining EX rank.
Losing in the middle of a song due to HARD skill: Ilith & Tairitsu (Grievous Lady).

Plays falling under any of these situations are only updated in the recent entries if they cause an increase in Potential.

As such, the approach to maximize one's Potential is to:

Avoid grades below EX when online (for recent entries).
Maximize score in songs with higher chart constants (for best entries).

Chart Constant

Main article: Songs by Chart Constant

Many songs already have known chart constants at the Japanese Wiki. These are discovered using one of two methods:

choka_noah's method - make a new account and try to score as close to 9,500,000 as you can on a single song 3 times, then use the resulting Potential to derive the chart constant.
robert_cpp's method - calculate the chart constant based on steps gained after playing a song in World Mode with level 20 Tairitsu (Grievous Lady) or Ilith for their high STEP stats, which gives higher precision.

As chart constants are stored on the game server instead of asset files, unpacking and reading the files will not reveal chart constants.

Chart Potential

At 9,500,000 points, the chart potential you receive upon playing a chart is exactly equal to its chart constant. Any score above this awards a bonus, and any score below this incurs a penalty. However, Potential cannot be negative, and is lower-bounded at 0. Below is a table showing the formula for calculating potential for various score ranges.

Score	Chart Potential
≥ 10,000,000	$\text{Chart Constant} + 2.0$ (Fixed value)
9,950,000 ~ 9,999,999	$\text{Chart Constant} + 1.5 + \dfrac{\text{Score} - 9,950,000}{100,000}$ (Rapid increase)
9,800,000 ~ 9,949,999	$\text{Chart Constant} + 1.0 + \dfrac{\text{Score} - 9,800,000}{400,000}$ (Slow increase)
≤ 9,800,000	$\text{Chart Constant} + \dfrac{\text{Score} - 9,500,000}{300,000}$ (Lower bound at 0)

Below are the notable scores:

Grade	Score	Chart Potential
EX	10,000,000	Chart constant + 2.0
	9,950,000	Chart constant + 1.5
	9,800,000	Chart constant + 1.0
AA	9,500,000	Chart constant
A	9,200,000	Chart constant - 1.0
B	8,900,000	Chart constant - 2.0 (if chart constant < 2, this is 0)
C	8,600,000	Chart constant - 3.0 (if chart constant < 3, this is 0)

For example, Sayonara Hatsukoi [FTR] has a chart constant of 6.5, so if you obtain a Pure Memory, the corresponding chart potential is 8.5. This is the value that gets saved in your recent/best entries.

Maximum Potential

In order to have the maximum Potential available, you need to have the highest possible chart potential that can be recorded in recent entries and best entries.

Best Entries

Since chart potentials of the same songs can appear only once per chart as the best entries, you can get the maximum total of best entries possible by getting a Pure Memory on 30 charts that have the highest chart constant on Future: