The Mathematics of Cross-Game Sensitivity: Understanding m_yaw
When you move your physical mouse across a desk, optical and laser sensors do not transmit centimeters or degrees to your operating system. Instead, the sensor's DSP transmits raw integer counts (dots of physical movement). Every individual game engine interprets those counts by applying an internal angular multiplier known in computer graphics as m_yaw (horizontal rotation) and m_pitch (vertical rotation).
Because different 3D engines utilize vastly different default yaw constants, typing the same sensitivity number into different games yields completely mismatched physical aim. For example, a sensitivity of 0.35 in Valorant yields a comfortable 46.6 cm/360° turn, whereas typing 0.35 in Counter-Strike 2 results in an agonizingly slow 148.4 cm/360° turn requiring three full arm sweeps across your desk.
Universal Physical Distance Formula
To translate between arbitrary game engines, we calibrate directly to real-world physical circumference:
cm/360 = (360 × 2.54) / (Sensitivity × Mouse DPI × m_yaw) Converting from Source Game to Target Game without changing DPI is therefore defined by:
Target Sensitivity = Source Sensitivity × (Source m_yaw / Target m_yaw) Standard Game Engine Yaw Angles Reference (2026)
The table below documents verified rotation angles, coordinate frameworks, and default aiming mechanics across all major competitive esports shooters:
| Game Title | Game Engine | Engine Yaw (\(\theta\) per Count) | Conversion Ratio (vs Valorant) | Conversion Ratio (vs CS2) |
|---|---|---|---|---|
| Valorant | Unreal Engine 4 (Riot Custom) | 0.070000 | 1.0000 | 3.1818 |
| Counter-Strike 2 / CS:GO | Source 2 / GoldSrc | 0.022000 | 0.3143 | 1.0000 |
| Apex Legends | Titanfall Engine (Modified Source) | 0.022000 | 0.3143 | 1.0000 |
| Overwatch 2 | Blizzard Custom Engine | 0.006600 | 10.6061 | 3.3333 |
| Call of Duty (Warzone / MW3 / BO6) | IW Engine 9.0 | 0.006600 | 10.6061 | 3.3333 |
| Fortnite | Unreal Engine 5 (Slider %) | 0.005555 | 12.6000 | 3.9600 |
| Rainbow Six Siege | Ubisoft AnvilNext 2.0 | 0.005720 | 12.2378 | 3.8462 |
| The Finals | Unreal Engine 5 | 0.005555 | 12.6000 | 3.9600 |
| PUBG: Battlegrounds | Unreal Engine 4 | 0.007070 | 9.9009 | 3.1117 |
Arm Aiming vs Wrist Aiming: Which cm/360° Tier Fits Your Playstyle?
> 55 cm / 360°
Tactical shooters (CS2, Valorant). Uses full elbow and shoulder sweeps for micro-angle crosshair placement. Requires a large 45cm–50cm mousepad.
35 cm – 55 cm / 360°
The competitive gold standard used by over 70% of professional esports players. Perfect balance between high-precision micro-flicks and 180° turn speed.
25 cm – 35 cm / 360°
Fast-paced tracking shooters (Apex Legends, Overwatch 2, The Finals). Hybrid wrist-arm coordination ideal for tracking vertical movement and aerial dashes.
< 25 cm / 360°
High-mobility arena shooters and battle royales (Fortnite building/editing). Allows instantaneous 360-degree spins with small wrist movements without lifting the mouse.
📊 Statutory & Mathematical Analysis Matrix
| Statutory Component / Legal Deduction Item | Calculated Amount (USD) |
|---|---|
| Primary Net / Statutory Payable Amount | 0.00 |
Frequently Asked Questions About Sensitivity Conversion
What is cm/360 and why is it superior to in-game sensitivity numbers?
cm/360 is the universal physical distance (in centimeters) your mouse must travel across your mousepad to execute a complete 360-degree in-game turn. In-game sensitivity numbers are arbitrary multipliers dictated by each game engine's specific m_yaw rotation angle (for example, Valorant uses 0.07 while CS2 uses 0.022). By matching your cm/360 physical distance across every title, your hand's neuromotor muscle memory remains 100% consistent regardless of which game you boot up.
What is eDPI and how do I calculate it?
eDPI (effective Dots Per Inch) represents your true combined sensitivity and is calculated as: eDPI = Mouse DPI × In-Game Sensitivity. For example, 800 DPI with 0.35 Valorant sensitivity yields 280 eDPI. While eDPI lets you compare sensitivity against other players in the exact same game, it cannot be directly transferred to other games because different titles use different rotational formulas.
Is 800 DPI or 1600 DPI better for competitive gaming?
Modern esports benchmarks demonstrate that 1600 DPI significantly reduces initial hardware click-to-motion input latency compared to 400 DPI. At 400 DPI, your mouse must travel 1/400th of an inch before registering the first movement count. At 1600 DPI, the sensor detects micro-movement in only 1/1600th of an inch, reducing hardware latency by approximately 2ms to 4ms while eliminating pixel skipping at high resolutions.
How does Field of View (FOV) affect perceived sensitivity?
Even with identical cm/360° rotational distances, games with wider FOV (such as Apex Legends at 110 FOV) feel visually faster than tactical shooters with locked narrow FOVs (such as CS2 or Valorant at ~103° horizontal). While the physical hand movement to turn 180° remains identical, on-screen crosshair speed changes. Most competitive players prefer matching physical 360° distance rather than 2D screen-edge distance to preserve flick muscle memory.
How do I match my ADS (Aim Down Sights) sensitivity between games?
Most competitive shooters (Valorant, Call of Duty, Apex Legends) allow tuning a Scoped Sensitivity Multiplier. Setting this multiplier to 1.0 (or matching 100% Monitor Distance Coefficient) scales your scoped sensitivity proportionally with FOV reduction, ensuring that flick distances to targets visible near your crosshair feel identical between hipfire and scoped zoom.
