Thursday, January 3, 2013

Sprint RLTW (Tornado) tick frequency mechanics

I don't like ww&sprint builds as I allready wrote, but I like the math behind this skills.

All reputation for this information go to Nubtro.
http://us.battle.net/d3/en/forum/topic/6037344497

There you get all detailed information about this topic. I will only summarize the core of this topic. This topic is very important if you upgrading your weapons or your gear to check if it's an real upgrade.

Very Important:
Tornadoes do 20% main hand weapon damage per tick.
When dual-wielding, tornado tick frequency depends on the attacks per second (aps) of the last weapon swing before using Sprint.

A simplified overview about Sprint RLTW (Tornado) tick frequency

Ticksaps
90,90000
101,00000
111,11112
121,17648
131,33334
141,42858
151,53847
161,66667
181,81819
202,00001
232,22223
262,50001
302,85742
363,33334
454,00001
605,00001
906,66667

Ticks = total number of ticks over 3 seconds of 1 tornado
aps = Attacks Per Second value

You have to calculate your attacks per second value manually as the ingame character screen is rounding the values and can be misleading when applied to this chart.

Attacks per second formula = ((base weapon aps * weapon IAS) + (attacks per second from legendaries and enchantress)) * (gear IAS + skill IAS + dual wield IAS)

Note:
Enchantress's aura only adds 0.03 attacks per second, instead of 3% ias in the tooltip.


Example to calculate APS and Tick frequency

MH: Echoing Fury 1,2 aps + 023 attacks per second
OH: Sword 1,4 aps

Follower Enchantress
12% gear ias
15% dual wield ias

without Berserker
MH: 1,2 + 0,23 + 0,03 = 1,46 * 1,27 = 1,8542 => 18 ticks
OH:  1,4 + 0,23 + 0,03 = 1,66 * 1,27 = 2,1082 => 20 ticks

with Berserker
MH 1,46 * 1,52 = 2,2192 => 20 ticks
OH 1,66 * 1,52 = 2,5232 => 26 ticks

Conclusion:
MH with Berserker - 2,2192 aps is very close to the next breakpoint 23 ticks with 2,22223 aps.
how much more ias on gear do we need to increase our ticks with berserker?

2,22223 / 1,46 =  1,522 => 1,522 - 1,52 = 0,02
=>1%  more ias on gear would be enough


Now we have only calculated our tornado tick frequency, but if you want to compare different weapons or switching weapons, we must calculate the weapon damage.

Therefore and for the tick frequency calculation you can use this online calculator http://www.d3rawr.com/

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