DanceDanceRevolution Scoring System: Difference between revisions

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== Versions 1 and 2==


How does the scoring system work ?
The scoring system for DDR versions 1 and 2 (including the Plus remixes) is as follows:
The scoring system for DDR versions 1 and 2 (including the Plus remixes) is as follows:
For every step:
For every step:
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= 422,500 x 3  
= 422,500 x 3  
= 1,267,500
= 1,267,500
The scoring system for DDR 3rd Mix (including 3rd Mix Plus) is as follows:
 
==The scoring system for DDR 3rd Mix (including 3rd Mix Plus)==
The scoring system for the 3rd Mix is very different. In this system, high scores are not determined by large combos, and the maximum score for any one song is 10,000,000 This is generally believed to be the most *fair* system of scoring, but many would rather totally annihilate their opponent with an exponentially higher score than for it to come down to a few points.
The scoring system for the 3rd Mix is very different. In this system, high scores are not determined by large combos, and the maximum score for any one song is 10,000,000 This is generally believed to be the most *fair* system of scoring, but many would rather totally annihilate their opponent with an exponentially higher score than for it to come down to a few points.


First, we need to calculate the base step score P:
Let N = Total number of steps in song
P = int(1,000,000 / (N * (N + 1) / 2))
From this, if the step is "Perfect", multiply P by 10.
Likewise, if the step is "Great", multiply P by 5.
Finally, a "Good" is just the value of P.
If your life bar becomes depleted, but you continue to play (due to Versus mode or Autofail off), P is changed to 1.
If your life bar becomes depleted, but you continue to play (due to Versus mode or Autofail off), P is changed to 1.
Also, there is a "bonus" for the final step of a song, that evens out the score to 10,000,000 if you get all Perfects. This bonus is calculated as follows:
Q = 10 * [1,000,000 - int[1,000,000 / (N * (N+1) / 2)] * (N * (N+1) / 2)]
*Note: Only awarded on the final step. The step must be Perfect in order to receive the bonus.
Let us call this new value S
If this is the 2nd step, multiply S by 2,
If this is the 3rd step, multiply S by 3,
and so on...
Here is an illustration with a 4 step song (not that any actually exist):
P = 1,000,000 / (4 * (4 + 1) / 2)
= 1,000,000 / (20 / 2)
= 1,000,000 / 10
= 100,000
Now, this means:
If the step is "Perfect", S = 100,000 * 10 = 1,000,000
If the step is "Great", S = 100,000 * 5 = 500,000
If the step is "Good", S = 100,000 * 1 = 100,000
The bonus, Q, is 10 * (1,000,000 - int[1,000,000 / 10] * 10) = 0 points for this song. Bummer.
So, if we had all "Perfect":
Step 1: Score = (1,000,000 * 1) = 1,000,000
Step 2: Score = Previous Score + (1,000,000 * 2) = 3,000,000
Step 3: Score = Previous Score + (1,000,000 * 3) = 6,000,000
Step 4: Score = Previous Score + (1,000,000 * 4) + Bonus = 10,000,000
Let's Do it again with a few "Greats" thrown in:
Step 1 (Perfect): Score = (1,000,000 * 1) = 1,000,000
Step 2 (Great): Score = Previous Score + (500,000 * 2)
= 1,000,000 + 1,000,000
= 2,000,000
Step 3 (Great): Score = Previous Score + (500,000 * 3)
= 2,000,000 + 1,500,000
= 3,500,000
Step 4 (Perfect): Score = Previous Score + (1,000,000 * 4) + Bonus
= 3,500,000 + 7,000,000 + 0
= 7,500,000
However, let me illustrate another situation:
Step 1 (Great): Score = (500,000 * 1) = 500,000
Step 2 (Great): Score = Previous Score + (500,000 * 2)
= 500,000 + 1,000,000
= 1,500,000
Step 3 (Perfect): Score = Previous Score + (1,000,000 * 3)
= 1,500,000 + 3,000,000
= 4,500,000
Step 4 (Perfect): Score = Previous Score + (1,000,000 * 4) + Bonus
= 4,500,000 + 4,000,000 + 0
= 8,500,000
See? You will get a higher score if you get your "Perfect"s at the end as opposed to the beginning, but if you have been studying the above equation, and are proficient in basic algebra, you already knew this (^_^)
Your stage Grade is calculated as follows:
Each step has a value of two "Dance Points" assigned to it. When you add them all up, you get the maximum number of possible "Dance Points". (Equal to 2 * N)
Your earned "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 5 points
SSS = All Perfect
SS = At least 80% Perfect and the rest Great
S = Less than 80% Perfect and the rest Great
A = At least 80% of maximum Dance Points
B = At least 64% of maximum Dance Points
C = At least 50% of maximum Dance Points
D = Less than 50% of maximum Dance Points
E = Failed
*Note: A grade of SSS through S override any other grade. If you have less than 80% of maximum Dance Points, but a Full Combo, the S grade overrides the B. Likewise, if you do not have a Full Combo, the highest grade you can get is an A.


Grading system derived by Taren N.
Also, there is a "bonus" for the final step of a song, that evens out the score to 10,000,000 if you get all Perfects.


The scoring system for DDR 4th Mix (including 4th Mix Plus) is as follows:
The scoring system for DDR 4th Mix (including 4th Mix Plus) is as follows:
Melba
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