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Can someone explain the mania scoring system?

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Topic Starter
Yyorshire
I have these two scores on Inferno and one of them is in my expert opinion obviously better than the other, but that score is way lower (a ten thousand point difference). I was wondering if anyone could explain this weird score difference, and if the difference between 1 good and 1 miss really affects the score this much. Here are the scores:
Full Tablet
The formula is described here https://osu.ppy.sh/wiki/Osu!mania#Score
The biggest reason the 2nd score is higher, is that getting 2 misses that are far from each other reduces score significantly.

From an accuracy perspective, the 1st score is better than the 2nd score.

(Looking at the accuracy percentage the game calculates is not the ideal way to compare different scores, either. Acc%, compared to how much it penalizes for 200-Greats, doesn't tend to penalize as much as it should for 300-Perfects, 100-Goods, 50-Bads and Misses)
Bobbias
To clear things up, the part of the scoring algorithm that is important here is what they refer to as BonusScore.

Essentially the first half of the score for a note is calculated by dividing the maximum score (1 million) by the number of notes in a song, and then scaling the score based on what judgement you got.

The second half starts by doing the same thing, but it also multiplies it by a special "bonus" number. The bonus number is a bit confusing to explain, but basically if you hit anything less than a 300, it will go down, and a miss will make it 0. It goes up slowly for every 300 or max you hit.

When you miss, and the bonus drops to 0, you actually get almost half as much score on your next hit. It takes 50 max's (or 100 300's) in a row without any lower judgments to raise the bonus back to maximum. This has a VERY big impact on your score.

Also, don't worry so much about score. Since the score calculation is.... not ideal... you'll encounter cases like this pretty often. As long as you keep getting better, you'll still be able to improve you scores on songs over time. Plus, improving a score on a ranked map doesn't give you a lot more PP once you've reached something like 800k score on that song.
InabaYap
Also worth noting is that the floating multiplier aka BonusScore starts out at maximum. An early miss (thus dropping the multiplier to 0) can hurt.
Topic Starter
Yyorshire
Thank you all for your replies, I didn't know this "Bonus Score" thing existed, but I guess it will explain any weird scores in the future.
Edgar_Figaro
Due to the bonus calculation of the score the higher accuracy of a play the worse a "miss" hurts your overall score. If you have tons of 200's, 100's and 50's your bonus won't ever build up much anyways so breakin it doesn't matter so much. So in a case with 2 low accuracy scores the one with better accuracy will almost always win (unless low ACC is due to a burst section of a song) as it's almost entirely hit judgement score. The closer you get to SS the worse it is due to the score reset. Also misses close together hurt more than misses spread apart as well as it being better to miss the last note than the first note.

If I am not mistaken you start with he max bonus judgement of +100% note worth.
Rainbow 300 gives +2%
Regular 300 gives +1%
200 gives -8% down to minnimum of 0 bonus
100 gives -16% down to minnimum of 0 bonus
50 gives -32% down to a minnimum of 0 bonus
Miss resets bonus to 0

So if your ratio of max 300/300 isn't above 8:1 200's, 16:1 100's, or 32:1 50's your bonus won't build up much anyways.

Also due to this system a score where you get random 200's throughout he song hurts more than getting 20 all at one section.
Full Tablet

Edgar_Figaro wrote:

Due to the bonus calculation of the score the higher accuracy of a play the worse a "miss" hurts your overall score. If you have tons of 200's, 100's and 50's your bonus won't ever build up much anyways so breakin it doesn't matter so much. So in a case with 2 low accuracy scores the one with better accuracy will almost always win (unless low ACC is due to a burst section of a song) as it's almost entirely hit judgement score. The closer you get to SS the worse it is due to the score reset. Also misses close together hurt more than misses spread apart as well as it being better to miss the last note than the first note.

If I am not mistaken you start with he max bonus judgement of +100% note worth.
Rainbow 300 gives +2%
Regular 300 gives +1%
200 gives -8% down to minnimum of 0 bonus
100 gives -16% down to minnimum of 0 bonus
50 gives -32% down to a minnimum of 0 bonus
Miss resets bonus to 0

So if your ratio of max 300/300 isn't above 8:1 200's, 16:1 100's, or 32:1 50's your bonus won't build up much anyways.

Also due to this system a score where you get random 200's throughout he song hurts more than getting 20 all at one section.
It's actually the opposite in some of those cases.

Far from the end of the map, Misses that are spread apart hurt more than misses that are concentrated at some spot.

Several 200s in a row hurt score more than the same amount of 200s spread throughout the song (except in cases with very low accuracy or just after a miss, where the Bonus value hits the lower cap of 0 with just a few of those 200s).
Edgar_Figaro

Full Tablet wrote:

It's actually the opposite in some of those cases.

Far from the end of the map, Misses that are spread apart hurt more than misses that are concentrated at some spot.

Several 200s in a row hurt score more than the same amount of 200s spread throughout the song (except in cases with very low accuracy or just after a miss, where the Bonus value hits the lower cap of 0 with just a few of those 200s).
Yeah I misspoke missing multiple times in a row is less detrimental than missing spreadout.

As far as the several 200's in a row though wouldn't it hurt less because after a few of them the bonus would be at 0 and you'd only hurt the score and no longer be affecting the bonus score while if they are spread you have time to regain the bonus to lose the full -8
Full Tablet

Edgar_Figaro wrote:

As far as the several 200's in a row though wouldn't it hurt less because after a few of them the bonus would be at 0 and you'd only hurt the score and no longer be affecting the bonus score while if they are spread you have time to regain the bonus to lose the full -8
It depends on the current bonus.
If your bonus is 13 or more, getting 2 200s in a row, losing 16 bonus (or setting it to 0), is worse overall to your score than getting a single 200, recovering the bonus, then getting another 200.
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