About BAT and AS

[Drakthul]

How fast is BAT if we have 400 AS?

[ThnderSquirrel]

BAT is a fixed number, 1.7 for most heroes. If you have 400% IAS, then you're attacking 5 times faster than normal, so your adjusted attack time is 1.7/5 = .34 seconds per attack. If you want attacks per second, we take 1/.34 = 2.94 attacks per second.

[KuroNeko]

I'll put attack speed in perspective.

Let's say you deal 100 dmg per attack, and have 1.0 BAT.

Therefore, every second, you are dealing 100dps.

The formula for how long you have to wait to attack again is Seconds Per Attack = (iAS+1.00)/BAT, in this case that's SPA=1.0/1.0 or 1 attack per second.

>>
Seconds Per Attack = (increased Attack Speed + 1.00)/BAT base attack time
SPA = (iAS+1)/1
SPA = (0+1)/1
SPA = 1
>> 0% as = 1aps

Let's increase that. 50% as, SPA=(.50+1.0)/1 or 1.5, so 50% as = 1.5aps

Now for more:
0% as = 1.0 aps
100% as = 2.0 aps
200% as = 3.0 aps
300% as = 4.0 aps
400% as = 5.0 aps
500% as = 5.0 aps (capped at 400% as so having more does nothing)

If you have 1.7 BAT, then with 0% as you will attack every 1.70 seconds. At 100% as, every .850 seconds. At 200% as, every .5666 seconds. At 300%, every .4250 seconds. At 400% and higher, every .3400 seconds.

Keep in mind though- it's less about how many seconds it takes to attack or how quickly you attack, and more about how much DPS the attack speed is granting you.

PS:

Originally Posted by Drakthul

How fast is BAT if we have 400 AS?

Your BAT is constant. What changes is your APS (attacks per second) or SPA (seconds per attack), based on your attack speed, and BAT.

[beetin]

BAT stands for Base Attack Time, the length of time between 2 consecutive attacks when the sum of all attack speed increases is 0.

AT stands for Attack Time, the length of time between 2 consecutive attacks.

IAS stands for Increased Attack Speed, the sum of all attack speed modifiers you have from agility items, auras, buffs, triggers, and items.

APS stands for Attacks Per Second, which is calculated as (IAS + 1 ) / BAT

AS would stand for Attack Speed, which doesn't really make sense, but could be interpreted as the exact same as IAS or perhaps as IAS + 1.

As you can see, while your AT (attack time) will change depending on your IAS (divide BAT by IAS + 1 to determine AT), your BASE attack time is obviously a constant.


Just to be excruciatingly clear.