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The scoring system is similar to 5th mix, but with a few changes in the bonus and difficulty rating system.

A single step's points are calculated as follows:

Let p = score multiplier (Perfect = 10, Great = 5, other = 0)
N = total number of steps (a double step like left+right is only counted as 1 step, *NOT* 2)
n = number of the current step (varies from 1 to N)
B = Base value of the song (5 Mil) - Konami's Page is incorrect

one_step_score = p * int(B/S) * n
Note: If your life bar becomes depleted, but you continue to play (due to Versus mode or Autofail off), P is changed to 1.


Where S = The sum of all integers from 1 to N (the total number of steps)

Now, through simple algebraic manipulation

S = 1+...+N = (1+N)*N/2 (1 through N added together)

Note that this is the same as DDR 5th with the exception that there is no "Step Difficulty" modifier to affect the base value of the song. This makes calculating score easier (well, compared to 5th, anyway). Let's work through an example:

So, for example, suppose we wanted to calculate the step score of a "Great" on the 312th step of a 500 step song:

S = (1 + 500)*500 / 2
= 250,500 / 2
= 125,250
StepScore = p * int(B/S) * n
= 5 * int(5,000,000 / 125,250) * 312
= 5 * int(39.920159) * 312
= 5 * 39 * 312 (the "39" is rounded down from 39.920159...)
= 62,400

Remember this is just the score for the step, not the cumulative score up to the 312th step.

Also, there is a "bonus" for the final step of a song, that evens out the score to a multiple of 10,000,000 if you get all Perfects. This bonus is calculated as follows:

Q = 10 * (B - int(B/S) * N)
*Note: Only awarded when 'n' is equal to 'N'- the final step- this step must be Perfect in order to receive the bonus.

Note: if you get all Perfect, you get (p=10)*B, which is 50,000,000

Bonus:

With the exception of songs done via Roulette, songs played more than once in the same game, and edit data. you receive additional bonuses after the song is over. Here is a breakdown of the five different bonus categories.

Stream: 20M
Voltage, Air, Chaos, Freeze: 10M

However, the number of points you can actually get is also based on how hard your song was in each of those categories. Here are the maximum difficulties values for each category:

Stream: 374
Voltage: 640
Air: 67
Chaos: 3832
Freeze: 8000

The difficulty of your song in each category is divided by the maximum difficulty score for that category (and then multiplied by your difficulty score to get the final resulting bonus for that category).

The actual formula is as follows:

For each individual element of the Groove Radar...


Let P = Maximum point value (10M, 20M)
Let M = theoretical maximum value of element, as listed above
Let E = Groove Radar value of that element (shown on the screen during music select)
Score for that element is defined by the formula (deep breath):


points available = int[ int(128 * P / M) E / 128 + 0.5]


UNLESS M equals or is less than E, in which case the maximum point value will be equal to:


points available = P.

The resulting percentage is how much of the maximum bonus you can get for that category. For example:

Your song has a Freeze difficulty of 4000. The maximum Freeze difficulty is 8000, so your song can only earn 50% of the normal maximum (4000/8000) bonus for Freeze. That means (50% of 10M =) 5M will be the maximum Freeze bonus for your song.

Rule for partial groove bars: The partial amount you receive from any one groove radar bar is calculated by:

Let E = earned amount of a specific element and
Let M = maximum value for that element as defined by GR.
Let P = maximum points for that element as defined by previous formula:
int[ int(128 * PointValue / TheoreticalMaximum) * Earnable / 128 + 0.5]


STREAM (top bar, labelled voltage in MAX2 and beyond)
E = number of perfects
M = total number of steps


VOLTAGE (second, labelled stream in MAX2 and beyond)
E = earned max combo
M = FC value


AIR
E = Number of perfects received on jumps
M = FC - number of steps = number of jumps


CHAOS
E = Earned Dance Points
M = Max DP (2*steps + 6*OK's)


FREEZE
E = OK's received
M = total freeze count


Your partial bonus for each element is:
int[ int(100 * E / M) P / 100 ]


Note that this is rounded to the nearest 1/100, instead of the nearest 1/128, and is not rounded, merely truncated.


A list of all songs and their maximum scores (AAA on the song with freeze on) can be found here.
A list of the highest AAA scores possible can be found here.
(Keep in mind these are lists of the MAX JP home version, which SHOULD encompass all the arcade version songs. All other songs released on home versions (i.e. songs on 6th Arcade but not on the 6th Home version) have their groove radar and bonus listed on these pages:


MAX USA List / MAX USA Ranking List
MAX2 JP List / MAX2 JP Ranking List
MAX2 USA List / MAX2 USA Ranking List
Extreme JP List / Extreme JP Ranking List
Party Collection List / Party Collection Ranking List



Remember, the score listed at the right is the maximum score possible under 6th Mix scoring rules. Songs in mixes other than 6th are subject to their respective mix's rules.

Also, If your machine is set to more than 3 songs, only the last 3 songs count towards your final score (for internet ranking purposes and such).

Finally, your rank:

Each song has a certain number of "Dance Points" assigned to it. For regular arrows, this is 2 per arrow. For freeze arrows, it is 6 per arrow. When you add this all up, you get the maximum number of possible "Dance Points".

Your "Dance Points" are calculated as follows:

A "Perfect" is worth 2 points
A "Great" is worth 1 points
A "Good" is worth 0 points
A "Boo" will subtract 4 points
A "Miss" will subtract 8 points
An "OK" (Successful Freeze step) will add 6 points
A "NG" (Unsuccessful Freeze step) is worth 0 points

100% - AAA
93 % - AA
80 % - A
65 % - B
45 % - C
Less - D
Fail - E