Potential

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 § Challenge). Playing songs while online will affect this value, displayed on the icon of your partner at the top of the screen.

Ranks

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

Icon	Potential	Description
	0.00	The starting rank.
	3.50	This rank likely encompasses people playing mainly on Present difficulty.
	7.00	Purple-ranked players are probably starting to break into more difficult Future charts.
	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.
	11.00	Anyone with this rank likely has hard cleared all Future charts, with many of them being Pure Memories.
	12.00	One would have to attain Full Recall or Pure Memory on most level 9+ charts to reach this rank.
	12.50	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 the HARD skill effect.

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

Chart constants are internal values assigned to songs which are a more precise representation of their difficulty than their difficulty levels. It is currently unknown whether these values are determined by lowiro's opinion or calculated with an algorithm.

Chart constants for various songs, as well as the methods used to obtain these values, are detailed in Songs by Chart Constant.

In addition to determining Potential gain/loss from a song, they also determine how much Steps are gained when completing songs in World Mode. As chart constants are stored on lowiro's server and not within the game files, Potential does not change and World Mode is inaccessible when not connected online.

Chart Potential

Chart potentials, known internally as ratings, are intermediate variables computed from the song's chart constant and your score on the song.

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. This value is lower-bounded at 0 as it cannot be negative. Below is a table showing the formula for calculating chart 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

Calculation

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:

Chart Constant	Number of Songs
9.8	4 (out of 8)
9.9	2
10.0	3
10.1 ~ 11.0	19
11.1+	2

The total chart constant of these songs is 309.7, so obtaining Pure Memory on them will give a total Potential of:

$309.7 + 2.0 \times 30 = 369.7$

Adding the total recent entries and the total best entries, then dividing by 40 and rounding down gives:

$\frac{369.7 + 132.0}{40} \approx 12.54$

This yields the highest possible Potential one can currently obtain: 12.54.

History

This section lists the maximum possible Potential on every version of Arcaea where new songs were added. The values for versions before the potential system was introduced (1.1.0) are also shown here. The "Minimum CC" is the lowest Chart Constant that affected the maximum potential in each version.

Version	Potential	Minimum CC	Total Songs	Songs Added	Date Added
1.0.5	10.62	6.0	19	Release songs	8 Mar 17
1.0.9	10.72	6.5	21	Dement ~after legend~ , Dandelion	20 Mar 17
1.0.10	10.82	6.5	23	Infinity Heaven , Anökumene	12 Apr 17
1.0.11	11.13	7.4	29	Crimson Solace , Brand new world	11 May 17
1.1.0	11.35	7.8	34	Chronostasis, Kanagawa Cyber Culvert, DataErr0r, Cross†Soul, Your voice so... feat. Such	2 Jun 17
1.1.2	11.49	8.2	40	Dynamix Collaboration, Clotho and the stargazer	23 Jun 17
1.1.3	11.56	8.4	42	Ignotus, Impure Bird	18 Jul 17
1.1.4	11.62	8.6	49	Ambivalent Vision Pack, Harutopia ~Utopia of Spring~, Auxesia	10 Aug 17
1.1.6	11.65	8.6	51	Rabbit In The Black Room, Modelista	25 Sep 17
1.5.0	12.09	9.1	60	Vicious Labyrinth, One Last Drive, Dreamin' Attraction!!, Red and Blue	3 Nov 17
1.5.2	12.10	9.1	62	Surrender, Yosakura Fubuki	24 Nov 17
1.5.3	12.11	9.2	64	Reinvent, Syro	21 Dec 17
1.5.5	12.17	9.2	69	Lanota Collaboration	1 Feb 18
1.5.6	12.19	9.3	70	Metallic Punisher	16 Feb 18
1.5.7	12.20	9.3	71	Blaster	9 Mar 18
1.6.0	12.24	9.4	76	Binary Enfold	23 Mar 18
1.6.2	12.27	9.5	78	carmine:scythe, γuarδina	29 Apr 18
1.6.4	12.28	9.5	80	Cybernecia Catharsis, Be There	1 Jun 18
1.6.6	12.28	9.5	82	inkar-usi, Call My Name feat. Yukacco	22 Jun 18
1.7.0	12.38	9.6	91	Luminous Sky, Suomi, Bookmaker (2D Version), Illegal Paradise	16 Jul 18
1.7.2	12.39	9.6	94	Nhelv, dropdead, Fallensquare	13 Aug 18
1.7.4	12.39	9.6	95	LunarOrbit -believe in the Espebranch road-	31 Aug 18
1.7.5	12.40	9.7	97	Purgatorium, Alexandrite	17 Sep 18
1.8.0	12.42	9.7	102	Tone Sphere Collaboration	7 Oct 18
1.8.1	12.42	9.7	104	Astral tale, Rugie	8 Nov 18
1.8.2	12.42	9.7	105	Phantasia	29 Nov 18
1.8.3	12.42	9.7	106	Empire of Winter	22 Dec 18
1.9.0	12.46	9.7	111	Groove Coaster Collaboration	9 Jan 19
1.9.2	12.46	9.7	112	Libertas	11 Feb 19
1.9.3	12.46	9.7	113	Solitary Dream	9 Mar 19
2.0.0	12.49	9.8	120	Absolute Reason, Grimheart, ReviXy	21 Mar 19
2.0.3	12.49	9.8	123	SUPERNOVA, VECTOЯ, Dot to Dot feat. shully	2 May 19
2.1.0	12.54	9.8	126	CHUNITHM Collaboration	23 May 19

Potential

Contents