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I forgot to add that the Gargoyle Greataxe was also +8. The stats are just overall worse, even though they appear that they should be better.
Thanks for pointing this out. Fixed it in the original post.
If that is the case, then why are the numbers exactly the same even though the base damages are different? It still doesn't make sense.
Your math is definitely sound. That then begs the question of "why does it work that way?" It seems to just make the Gargoyle Greataxe objectively worse, by quite a bit, than the Rusted Anchor simply because it's base damage is lower. It just seems like weapons that have better scaling should get more from your stats than a 5% difference between grades. And it basically means that weapons that have better base damages are just better overall, even with a worse scaling grade.
It's kind of funny, even with thousands of hours in various souls games I never once looked at how scaling worked. And I probably wouldn't have looked now if dual wielding wasn't so good. I just happened to notice this as I was upgrading the Gargoyle Greataxe.
Also right now iirc anything with arcane scaling weapon wise is bugged and gives you just raw stats across the board, so you know, might be a fix or two coming in. TL;DR for now just ignore scaling, find the weapon that feels the best to you and use it.
Edit: I went and did a look and found the thread on reddit for you to explain better.
https://www.reddit.com/r/DarkSouls2/comments/36vh76/psa_scaling_letters_are_not_equal_to_scaling/
The weapons that don't work show the lack of scaling in their stats though, so have a look at that before upgrading anything with Arcane scaling.
If they had different swing speeds or stagger values, yeah I'd totally agree. They should have different damage amounts. However their swing speed and stagger values are either identical or so close that it's impossible to tell the difference.
The problem is that most weapons within the same class of weapons play identical. Same weapon attacks, and weapon arts can be swapped on standard weapons. So that just leaves damage dif, and by looking at the charts on the wiki, it's only going to get worse (at least between these two).
By the way, you can kind of see the effects of scaling if you equip the weapons you want to test and reset your level. It wont show the weapon details, but just its total damage, increasing/decreasing as you change stats.
Since it only takes the reset item if you confirm after fully respeccing, you also do this without using any items.
My issue is this: on equal upgrades, regardless of your strength value, Rusted Anchor will outperform Gargoyle Greataxe 100% of the time because Rusted Anchor has significantly higher base damage.
Even at +25, Rusted Anchor has 312 base damage and an A scaling in strength if you have a heavy affinity. Gargoyle Greataxe at +25 has 261 base damage and an S scaling at heavy affinity. If there's about a 5% difference between scaling levels, then the damage difference between the two is going to be a lot more than 5%.
physical scaling is str + dex + arcane (if there is an arcane scaling on the weapon and it's not a bugged one). It's the addition of several scalings, unless you're checking with an heavy affinity that only has str scaling with no dex, you can't measure scaling by just checking one stat. It's not like int boosting only magic or faith only boosting holy.
Plus the letter is a set of values, we don't have exact values for elden ring but for dark souls it was like that :
E : 1 to 24%
D : 25 to 49%
C : 50 to 74%
B : 75 to 99%
A : 100 to 139%
S : 140 to 200%
So you can actually have a B that is 75 and a C that is 74, and they can actually be identical (because of rounded values), even if one is B and another is C.
It's also the same with S, you can have a high S that is 200% and a low S that is not really better than a A.
And take into account the double scaling of str + dex on everything that is not heavy affinity.
Some of those ranges are massive, geezus. Why didn't they add +/- for scalings if those ranges can be that large. Pretty sure they did that in previous games. Seems to make sense here too.
I guess I'll just have to play it out and see how close the two are when I have them fully upgraded. Maybe the Gargoyle will fall into the high S tier and the Anchor in the low A tier. No way to really tell from the wiki currently.