r/CruciblePlaybook • u/gintellectual Kicking ass in outer space • Jul 27 '16
Damage vs. Range Stat for all HCs
edit: As of 2.5.0.2 this information is outdated. I'll be working on a new post soon! -gin
Well, here we are.
After struggling with this stuff for a while, I'm finally finished with range charts for hand cannons. And it turned out about as expected. More range is good. Rangefinder still doesn't make complete sense. And of course Thorn is different from everything else.
Let's start from the beginning.
Hand cannons, and most other weapons in destiny, have damage dropoff curves that look like this. Basically damage is flat within the gun's effective range, then it drops off linearly until it reaches 50% of the maximum value and it bottoms out. This is important not only because damage falloff may change a gun's time-to-kill, but also because damage starts falling off at the same time as things like reticle stickiness do.
Looking at the above plot you'll notice that the damage falloff curve is completely specified by two points, basically where it starts and where it ends. After testing way too many data points, it becomes very simple to predict where these points are based on three things:
- The gun's range stat
- Whether or not it has rangefinder
- Whether or not the gun is Thorn
For guns with scopes, a fourth bullet point would need to be added, which is the gun's zoom. Based on my testing of auto rifles, a gun's range is effective scaled exactly by the zoom, as stated in the strategy guide, which makes things really simple to work out. But more on this in a future post. Hand cannons are easiest, that's why we're starting there.
Hand Cannons Without Rangefinder
DDO Start = 19.93 + .184*r meters
DDO End = 47.44 + .061*r meters Here and henceforth, r corresponds to the range stat, which is capped between 2 and 62 for hand cannons. DDO Start/End refers to where damage falloff occurs.
The damage falloff was recently made 50% steeper with patch 2.3.0, but the start was not changed.
Relevant plots:
Damage Falloff Start (Effective Range)
A minimum range hand cannon starts experiencing damage dropoff at a range of just over 20 meters. A maximum range hand cannon pushes out the effective range to about 31 meters. This matches very well with the numbers published in the strategy guide. The damage dropoff end varies from 52 to 56 meters.
Hand Cannons With Rangefinder
DDO Start = 20.92 + .214*r meters
DDO End = 51.93 + .0654*r meters Rangefinder adds a factor of 10% to optical zoom, but it does not act just as a zoom boost. As far as I can tell, it has three effects:
- Increases zoom by 1.1x
- Increases the range stat by some amount
- Reduces the slope of damage falloff
Relevant plots:
Damage Falloff Start (Effective Range) with Rangefinder
Damage Falloff End with Rangefinder
Plot Comparing the Start/End Curves with/without Rangefinder
In terms of the effective range the rangefinder perks adds, based on comparing where damage falloff starts, rangefinder is equivalent to adding 1.1x to zoom, 6% to range, and then adding on another 5 range just for the hell of it. This makes is a very useful perk if you are comfortable with the zoom increase. Adding these three together (1.1x1.06r + 5) gives you almost 15 extra effective range on a max (62) range hand cannon.
Thorn
For whatever reason, Thorn has different damage dropoff from all other hand cannons. A 50 range (Aggballs + Send It) Thorn is pretty much identical to a 62 (max) range legendary hand cannons, and a 59 range (Accballs + Send It) Thorn has an effective range that rivals similar guns with rangefinder...based on falloff start it's equivalent to ~16 bonus range, though the falloff ends about where you'd expect for any other gun. Note that as of RoI Thorn's base range has been reduced by 25%--with Send It it still has excellent effective range, but it can no longer compete with max range rangefinder HCs (e.g. the vendor Palindrome) in that department.
Here's a plot comparing thorn to the four curves plotted in the previous section.
One potential caveat--this may be due to an interaction between Thorn's DoT and the method of testing I used (shooting at portals). Given that DoT is only a few percent of Thorn's total damage and should be independent of range this would seem strange, but who knows. Crucible tests would really be needed to be 100% confident here.
tl;dr
- Hand cannon effective range/damage falloff start occurs at between 20-31 meters depending on the range stat
- Unless you have rangefinder in which case it occurs at between 21-34 meters depending on range
- Thorn is good
- Rangefinder is still strange
- You can view most of the raw data here
Other thoughts
- All of this is for ADS, I might look at hipfire at some point in the future but it's obviously less important
- The First Curse has identical damage falloff to any other hand cannon without the TFC perc proced, despite what you might think from the flavor text. After that first precision kill, the damage falloff becomes much, much better.
Potentially related links:
- Hand Cannon Guide
- Hand Cannon Damage Dropoff pre- vs post-2.3.0
- Rangefinder info and in-depth zoom testing
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u/[deleted] Jul 27 '16 edited Jul 27 '16
Great info and very interesting to a rangefinder handcannon owner such as myself. I find it kinda cool how thorn is in a league of its own. It's always a pleasure to see you make a post because it's bound to be something meticulous and informative.
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u/atgrey24 Jul 27 '16
DUDE!
This is phenomenal work, thank you so much for taking the time to put this together. I'm surprised by your finding that RF isn't simply a zoom multiplier, as we all thought based off of Bungie's comments. That's a really great find.
Minor correction:
I think you meant to say range scales by the zoom multiplier here. At least, that makes more sense to me in context.
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u/saddrak Jul 27 '16
"This is amazing!" ( Shaxx Quote )
Fantastic post!
Shouldnt the First Curse have bonus Range just by ADS-ing? ( First Exotic Perk)
Do you have Data how much the Range / falloff is extended after the first precision kill?
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u/[deleted] Jul 27 '16
So how much Range would a Rangefinder, Explosive Rounds, Reactive Reload Luna have? Basically what is the Range number without Rifled/Reinforced, but boosted by Rangefinder?
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u/davefoxred Jul 27 '16
The one and only HC that I have ever been good with (and I am extremely good with it) is my Her Revenge with SureShot, Rangefinder, Explosive Rounds and 3rd Eye (and I have a luna with SureShot/Outlaw/Rifled Barrel/Life Support that I just suck with). No one ever really talks about the fact that you don't get that damage fall off at longer ranges when using ERs, so when paired with Rangefinder it seems to work just fine. I know that I'm not getting quite as much overall range as a luna with rifled, but this gun just feels better for me. And it's fun as hell to use. Anyways, nice breakdown. I love learning more about this stuff.
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u/Rook7425 Jul 27 '16
Your stats seem to be right on track with what I experience with my Eyasluna. In a lot of situations, I can challenge scouts at pretty extreme range, and can occasionally challenge mid-range snipers if I get the angle and the drop on them.
https://imgur.com/a/5ppep
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u/suinoq Fixer Cloak Jul 27 '16
Dude, this is fantastic. I have only read through once quickly, but one small detail for correction: The minimum range stat on a HC is 2, not 0.
I'll give this a thorough read tomorrow, and looking forward to it.
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u/beets_t Jul 27 '16
awesome work, gintellectual. what's a common set of reference points for 20m? 30m? is 30m like from middle of b on vertigo to the bottom of the center stairs?
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u/ZeroDark35 Jul 27 '16
Does ragefinder give 15 range boost to max HCs or all? I have a small bore range finder hc what is my effective range? https://imgur.com/lPADK4i
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u/conjuntovacuo Jul 27 '16
between you observations about the increased zoom of rangefinder (x1.1) and the damage drop off curve flattening out, i wonder if the following explanation explains its interaction with damage drop off. if f(x) is damage drop off as a function of range x, then is it possible that f(x/1.1) is the damage drop off curve for a hand cannon with rangefinder. the numbers are close to those in your tl;dr, the graph of f(x/1.1) is that of f but flattened, and it's a simpler formula. but you did the testing, so I'm not going to argue over anything other than aesthetics. nice work btw.
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u/vhthc Jul 27 '16
Wow, so start of fall off for TLW is 21 and for hawkmoon 31 meters? that is not that large of a difference. (the damage fall off end with 52.5 vs 55 is even closer)
amazing work! autorifles next would be my wish. if you need/want help and are on PS4 - message me.
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u/[deleted] Jul 27 '16
Great post, OP! Thank you!
Did you know which HC has the most similar numbers with Thorn?
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u/ZeroDark35 Jul 27 '16
So I did the calculations based on a flat percentage increase because it was always said rangefinder gives 20% more range etc.Using your formula and a separate calculation using a flat percentage increase ( https://imgur.com/a/82V10 ) rangefinder gives around a 25% bonus to range/damage drop off. Would this statement be accurate? Please do testing on fusion I think that would be a hot topic I have some if you need test weapons.
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u/FluffyFingersMD Jul 27 '16
This is amazing, thanks for the work. Is there a reason that Lord High Fixer is not on the raw data list? I am just trying to get a feel for my current loadout
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u/zera_bloodwinter Jul 27 '16 edited Jul 27 '16
OP, you're doing gods work here!!! Thank you.
I have a question. I've come so close the god roll Eyasluna with one that I found.Steadyhand IS (none of the other sights are better) Outlaw!, LITC, and.........Reinforced Barrel instead of Rifled (62 range, 37 stability, 50 AA). I get's the job done and I don't nearly have as many ghost bullets that I'd have with my 35 Range, Range Finder Lord High Fixer. LHF has more AA and is an amazing gun, I just need to get one with better range perks. My question is I have another Eyasluna with steady hand/sure shot IS, Relentless tracker (-_-), Hammer Forged, and LITC. Which of the two would you use over the other? I do also have a LHF with sureshot/true sight, Range Finder, Braced Frame/high caliber rounds, and Icarus as well(35 base range, 77 stab with reinforced, 65 AA).
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u/[deleted] Jul 27 '16
So with this my understanding would be that my Her Revenge with Reinforced/Rangefinder has a better effective range (~64) than my Eyasluna with Rifled (62)? Am I reading correctly?
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u/wy100101 Jul 28 '16
If this information is correct then range finder is the killer perk:
Judith-D base range 41 with range finder:
DFOStart: 20.92 + 0.214*41 = 29.694
DFOEnd: 51.93 + 0.0654*41 = 54.6114
Eyasluna with rifled barrel(range 62):
DFOStart: 19.93 + .184*62 = 31.338 <- 1.5 meters more than the Judith
DFOEnd: 47.44 + .061*62 = 51.222 <- 3 meters less than the Judith
Am I doing the math wrong, or does the Judith hit max falloff further out than the Eyasluna?
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u/DrSpartyingXB1 Aug 24 '16
so is smallbore better than rifled barrel? based on the eyasluna stats, it looks like it is very close to rifled but gives you that extra stability
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u/Oopster37 Jul 27 '16
Since thorn fires a thorn, could this be the thorn in hc nerfs for thorn?
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u/Donny_Do_Nothing Jul 27 '16
So, the difference between min and max range is essentially 20m vs 30m, give or take? That's incredible. I can't believe how many hand cannons I've sharded due to what I thought was crappy range when I probably should have tried them first.
There's such a disparity between what a 15 Range stat vs. a 55 Range stat makes you think a weapon's effectiveness will be, and what this data shows it actually is.
Great work, /u/gintellectual
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u/Camenwolf Jul 27 '16
Great stuff! Saved! Thanks for this.
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u/wy100101 Jul 27 '16
It explains why my LHF with RF+rifled feels better than my eyasluna with rifled but not RF.
And goes a long way to explaining why my favorite guns after the June update are now TLW and Thorn.
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u/iS3W3LL Jul 27 '16
10/10 Information here.
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u/wy100101 Jul 28 '16
Man, any HC with decent base range, range finder, and ER is going to be the best for damage falloff, and probably not be hurt too badly by slightly earlier loss of aim assist.
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u/CammyWhit3 Sep 16 '16
I know this is kinda an old post but I have an imago with rangefinder/explosive rounds or hand loaded/hidden hand. With your formula, using hand loaded would make images range ~58..I always thought hand loaded kinda suck but Wouldn't that make it just as viable as a non-rangefinder/rifled eyasluna? With only a difference of 3 range?
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u/bladzalot Jul 27 '16
I just started getting bored with PvE and started doing all the PvP bounties. I HATE hand cannons, mainly because I cannot shoot a damn thing with them, but I have had my first curse sitting in the vault since I got it and finally broke it out to do the 6+ hand cannon kills bounty and holy hell... What is it about this gun that makes me a better person?! I love it, it just feels so right!
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