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Turn Rate
From Liquipedia Dota 2 Wiki
Turn rate is the speed at which a unit can turn. When moving to a location, a unit first turns to face that location, then begins walking. Similarly, when targeting another unit with an attack or spell, a unit first turns until it is facing the target, and then continues with the action. A unit only starts moving, or only starts casting a spell on a targeted area or point when the target is within 11.5°[1] angle in front of the ordered unit. This can make kiting more difficult, as the hero has to spend time turning towards and away from the target with each attack.
Every unit has a base turn rate, which can be lowered by some abilities. The vast majority of heroes have a turn rate between 0.6 and 0.5, meaning it takes between 0.15 and 0.19 seconds for the hero to make a 180° turn.
There are currently no 
talents that improve turn rate.
Mechanics[edit]
Turn rate speed was improved by 20% in [[7.29]]
Turn rate is expressed in radians per 0.03 seconds. A 180° turn is the same as <math>\pi</math> (3.1416) radians, therefore 0.03<math>\pi</math> divided by the turn rate of the unit equals the time it takes to turn 180°.
Turn rate is defined as
- <math>
t = \frac{0.03\pi}{T} </math>
With t being the time it takes to turn around and T the turn rate sources.
Turn rate slow directly affects the base turn rate, and all sources of turn rate slow stack multiplicatively.
- <math>\sum T =
\begin{cases}
T_{Set} & \text{if} \;\; T_{Set} = \top \\
T_{b} \times \displaystyle\prod_{i=1}^n (1-r_i)(1+a_i) & \text{otherwise}
\end{cases}</math>
With TSet being the Set Turn Rate Value, Tb the Base Turn Rate, r the Turn Rate Slow Value and a the Turn Rate Improve Value.
A unit does not immediately start turning at the highest rate it can turn. The turn rate ramps as the unit starts turning, reaching the unit's max turn rate after a certain amount of time. The rate at which the turn rate ramps up is unknown.
If a unit starts turning due to an ability or item cast order (by targeting a point, area or unit which is not within the required 11.5° facing angle), the turning cannot be canceled by a move, attack or a new spell cast order. Because the 11.5° angle can be in either direction, this creates a 23° angle directly in front of the hero allowing instant actions on any target within 23°. For any target beyond this angle, the hero must wait until they turn before the action occurs. The above formula is used to find the maximum time, so the time until the action takes place is actually ≤ 168.5°.
Any command ordered while turning due to a spell cast order gets queued up and executed once the spell is cast. In order to cancel the spell or ability cast, the player must issue a stop or halt command, in the same way how to cancel spell during its cast animation. This is to prevent accidental canceling of casts due to fast clicking. Issuing a stop or halt command (with S) does not stop the unit from turning if it has already started to turn, but stops the order which initiated the turning. For example, this allows Templar Assassin to turn during Meld without canceling the ability, as long as the move command is stopped before the targeted point is within the required angle.
Stacking[edit]
- Example 1
- Earthshaker is affected by a turn rate slow of 70%. What is his current actual turn rate? How long would it take for him to turn 180°?
- <math>
T = \times (1 - 0.7) = Expression error: Unexpected * operator. </math>
- <math>
t = \frac{ 0.03\pi }{ Expression error: Unexpected * operator. } = Expression error: Unexpected < operator. </math>
- Earthshaker affected by a turn rate slow of 70% has a lowered turn rate of Expression error: Unexpected * operator. and it takes him roughly Expression error: Unexpected < operator.s to turn 180° in this example.
- Example 2
- Earthshaker is affected by two turn rate slows of 70% and 50%. What is his current actual turn rate? How long would it take for him to turn 180°?
- <math>
T = \times (1 - 0.7) \times (1 - 0.5) = Expression error: Unexpected * operator. </math>
- <math>
t = \frac{ 0.03\pi }{ Expression error: Unexpected * operator. } = Expression error: Unexpected < operator. </math>
- Earthshaker affected by two turn rate slow of 70% and 50% has a lowered turn rate of Expression error: Unexpected * operator. and it takes him roughly Expression error: Unexpected < operator.s to turn 180° in this example.
Turn Rate Comparison[edit]
| Hero | Turn Rate |
|---|---|
                                                                                     | 0.6 |
                 | 0.7 |
          | 0.8 |
             | 0.9 |
| Turn Rate | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1 |
|---|---|---|---|---|---|---|---|
| Time | 0.262s | 0.209s | 0.175s | 0.15s | 0.131s | 0.116s | 0.105s |
Units[edit]
Modifying Turn Rate[edit]
Several abilities and items have abilities that slows or improve turn rate. For better readability, some of the turn rates in Hero pages are given as degrees per second, instead of radians per 0.03 seconds.
Turn Rate Slowing Abilities[edit]
The following abilities slows turn rate:
Turn Rate Slowing Abilities
- 1 Requires talent.
- 2a Requires Aghanim's Scepter.
- 2b Requires Aghanim's Shard.
Turn Rate Improving Abilities[edit]
The following abilities improve the turn rate:
Turn Rate Improving Sources
Turn Rate Setting Abilities[edit]
Set Turn Rate ( <math>T_{Set}</math> ) sets a unit's turn rate to a fixed value for the duration, so it cannot be altered by other effects.
The following abilities sets turn rate to the given value for the duration.
Turn Rate Setting Abilities
Turn Rate: 0.039
Duration: 6
Sets Clockwerk's turn rate while the ability is active.
Turn Rate: 0.002
Max Aim Time: 350
Sets Hoodwink's turn rate while the ability is active.
Turn Rate: Expression error: Unexpected * operator.
Ray Duration:
Sets Phoenix's turn rate while the ability is active.
Turn Rate: 0
Turn Rate After Start/Jump/Bounce: 0.001
Turn Rate Boost Duration: 0.25
Rolling Thunder Duration: ( )
Sets Pangolier's turn rate while the ability is active.
When boosted, adds on an extra 1 per second, effectively increases the turn rate to 1.0022222222222 per second for that time.
Turn Rate: Expression error: Unrecognized punctuation character "%".
Roll Duration on Attack: 275°
Roll Up Duration: 2.25
Sets Pangolier's turn rate while the ability is active. Pangolier does not roll during Roll Up, if an attack of a hero lands on him, he rolls for 275° seconds.
Abilities Preventing Turning[edit]
The following abilities completely prevent the affected unit from turning:
Abilities Preventing Turning
While traveling, Ember Spirit cannot turn, but he still requires to face his targets to attack, cast abilities, and use items.
During Leap, Mirana can only attack, cast abilities, and use items in the direction she is facing.
During leaping toward his target, Huskar can use items and abilities during the leap.
While active, Juggernaut cannot turn and does not need to turn in order to cast targeted spells or items. However, Blade Fury is inactive for the duration and cannot be cast.
Same values and notes from Omnislash applies.
Can be toggled, removing Mars's ability to attack, and locking the direction he is facing. When active, reduces movement speed and redirects attack projectiles aimed at Mars's allies towards Mars instead.
While active, File:Primal beast icon.png [[Primal beast|]] does not need to turn in order to cast targeted spells or items.
Recent Changes[edit]
Main Article: Turn Rate/Changelogs
Description
- Turn rate effect on time to turn improved by 20%
- Increased turn rate from 0.5 to 0.6 for the following heroes:
- Reduced turn rate from 1 to 0.9 for the following heroes:
- Increased Dazzle 's turn rate from 0.6 to 0.7.
- Reduced the speed at which turn rates of units ramp up by 15%.
References[edit]
