X·ARENA | FPS ゲーミング感度変換器 & 計算機

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X·ARENA エイム感度物理学＆エンジン定数白皮書

競技ゲーマー向けの物理移動量同期、3D/2D視野投影マッチング、およびセンサーハードウェア補正に関する学術的解説。

目次構成

物理単位と数学公式

異なる3Dゲームエンジン間で感度を一致させる際、最も多い間違いはゲーム内メニューのスライダー設定値をそのまま比較することです。筋肉記憶を100%移行させるための唯一の科学的基準は、マウスがマウスパッド上で移動する物理的なセンチメートル数でゲーム内視界がちょうど360度回転する距離を示す「CM/360°」です。

CM/360° 物理回転絶対換算方程式：

CM/360 = (360 / (DPI * Sensitivity * Yaw)) * 2.54

Inches/360 = 360 / (DPI * Sensitivity * Yaw)

ここで、DPIはマウスの物理ハードウェアサンプリング数、Sensitivityはゲーム内の設定値、Yawはゲームエンジンが1ドットの入力に対して回転させる視野角のラジアン定数です。X·ARENAは物理移動量を絶対基準として計算します。

主要ゲームエンジン Yaw 定数データベース

ゲームにマウスの入力信号（Counts）が1点届いた際、3D仮想空間内で視界がどれだけ回転するか（Yaw定数）は、ゲームエンジンによって以下のように大きく異なります。

全 154 タイトルのエンジンデータを表示中

ゲーム / エンジン	エンジン Yaw 定数	計算根拠 / ソース説明
Aim LabCustom / Proprietary	0.05000	Scaled alignment constant (Yaw: 0.05000)
Apex LegendsSource / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
ARC RaidersCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
ARK 2Custom / Proprietary	0.17460	Scaled alignment constant (Yaw: 0.17460)
ARK: Survival EvolvedCustom / Proprietary	0.17460	Scaled alignment constant (Yaw: 0.17460)
ArmaCustom / Proprietary	0.17502	Scaled alignment constant (Yaw: 0.17502)
Arma ReforgerCustom / Proprietary	0.17502	Scaled alignment constant (Yaw: 0.17502)
Back 4 BloodCustom / Proprietary	0.00233	Scaled alignment constant (Yaw: 0.00233)
Battlebit RemasteredFrostbite / Refractor	0.02200	Scaled alignment constant (Yaw: 0.02200)
Battlefield 1Frostbite / Refractor	0.01489	Scaled alignment constant (Yaw: 0.01489)
Battlefield 2042Frostbite / Refractor	0.01320	Scaled alignment constant (Yaw: 0.01320)
Battlefield 2042 / 6 / VFrostbite / Refractor	0.02200	Scaled alignment constant (Yaw: 0.02200)
Battlefield 4Frostbite / Refractor	0.01489	Scaled alignment constant (Yaw: 0.01489)
Battlefield VFrostbite / Refractor	0.01489	Scaled alignment constant (Yaw: 0.01489)
BioShock InfiniteUnreal Engine	0.02200	Scaled alignment constant (Yaw: 0.02200)
Black MesaCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Black SquadCustom / Proprietary	0.00549	Scaled alignment constant (Yaw: 0.00549)
BloodhuntCustom / Proprietary	0.06607	Scaled alignment constant (Yaw: 0.06607)
BorderlandsUnreal Engine	0.00660	Scaled alignment constant (Yaw: 0.00660)
Borderlands 2Unreal Engine	0.00660	Scaled alignment constant (Yaw: 0.00660)
Borderlands 3Unreal Engine	0.00660	Scaled alignment constant (Yaw: 0.00660)
Call of Duty (MW/Warzone/BO)IW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
Call of Duty 6IW Engine / Slipstream	0.00660	Scaled alignment constant (Yaw: 0.00660)
Call of Duty: WarzoneIW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
COD: Black Ops 4IW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
COD: Black Ops Cold WarIW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
COD: Modern WarfareIW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
COD: VanguardIW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
Counter-Strike 1.6Source / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
Counter-Strike: SourceSource / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
CS2 / CS:GOSource / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
CS:GOSource / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
Cyberpunk 2077Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Cyberpunk 2077Custom / Proprietary	0.01000	Scaled alignment constant (Yaw: 0.01000)
DayZCustom / Proprietary	0.17886	Scaled alignment constant (Yaw: 0.17886)
DeadlockCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
DeadsideCustom / Proprietary	0.11247	Scaled alignment constant (Yaw: 0.11247)
Deep Rock GalacticCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
Delta ForceCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Destiny 2Unreal Engine	0.00660	Scaled alignment constant (Yaw: 0.00660)
Doom EternalCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Dota 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
DucksideCustom / Proprietary	0.11247	Scaled alignment constant (Yaw: 0.11247)
Dune AwakeningCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Dying Light 2Custom / Proprietary	0.00833	Scaled alignment constant (Yaw: 0.00833)
EnlistedCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Escape from TarkovUnity	0.04681	Scaled alignment constant (Yaw: 0.04681)
ExoborneCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Fallout 4 / 76Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Fallout 76Custom / Proprietary	3.79310	Scaled alignment constant (Yaw: 3.79310)
Fallout: New VegasCustom / Proprietary	3.79310	Scaled alignment constant (Yaw: 3.79310)
Far Cry 5Custom / Proprietary	0.00285	Scaled alignment constant (Yaw: 0.00285)
Far Cry New DawnCustom / Proprietary	0.00285	Scaled alignment constant (Yaw: 0.00285)
For HonorCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
FortniteUnreal Engine	0.00556	Unreal Engine Pitch/Yaw scaling (0.00556)
FragpunkCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Garry's ModSource / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Getting Over ItCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
GTA V EnhancedCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
GTA V LegacyCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
GTA VICustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
GTFOCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Half-Life 1Source / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Half-Life 2Source / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Halo InfiniteCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Halo ReachCustom / Proprietary	0.02250	Scaled alignment constant (Yaw: 0.02250)
HauntsvilleCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Hell Let LooseCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Helldivers 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Heroes & GeneralsCustom / Proprietary	0.15131	Scaled alignment constant (Yaw: 0.15131)
Holdfast: Nations at WarCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Hunt: ShowdownCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
HurtworldCustom / Proprietary	0.11247	Scaled alignment constant (Yaw: 0.11247)
HyperscapeCustom / Proprietary	0.00573	Scaled alignment constant (Yaw: 0.00573)
IcarusCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Insurgency: SandstormCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
IronsightCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Killing FloorCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Killing Floor 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Killing Floor 3Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
KrunkerCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Left 4 Dead 2Source / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Marathon (2026)Custom / Proprietary	0.00330	Scaled alignment constant (Yaw: 0.00330)
Marvel RivalsCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
Military Conflict: VietnamCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Momentum ModCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Monster Hunter WildsCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
NAKWON: Last ParadiseCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Naraka: BladepointCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Neon WhiteCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
New WorldCustom / Proprietary	1.00000	Scaled alignment constant (Yaw: 1.00000)
No More Room In HellCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Once HumanCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Osu!Custom / Proprietary	0.07959	Scaled alignment constant (Yaw: 0.07959)
Overwatch 2IW Engine / Slipstream	0.00660	Equivalent to 1/150 radians scaling
PaladinsCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
PalworldCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Path of Exile 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
PavlovCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Payday 2Custom / Proprietary	0.01500	Scaled alignment constant (Yaw: 0.01500)
Payday 3Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Payday: The HeistCustom / Proprietary	0.01500	Scaled alignment constant (Yaw: 0.01500)
Planetside 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
PUBGCustom / Proprietary	0.00220	Scaled alignment constant (Yaw: 0.00220)
Quake 2Source / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Quake 3 ArenaSource / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Quake 4Source / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Quake ChampionsSource / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Quake ChampionsSource / id Tech	0.02200	Scaled alignment constant (Yaw: 0.02200)
Rainbow Six ExtractionCustom / Proprietary	0.00573	Scaled alignment constant (Yaw: 0.00573)
Rainbow Six SiegeCustom / Proprietary	0.00220	MouseYawSensitivity multiplier (0.0022)
Ready or NotCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Remnant 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Remnant: From the AshesCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Risk of Rain 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
RobloxCustom / Proprietary	0.39783	Scaled alignment constant (Yaw: 0.39783)
RustUnity	0.02200	Unity Engine Input translation (0.022)
SandCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
SCP: Containment BreachCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
SCUMCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Sea of ThievesCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
SpellbreakCustom / Proprietary	0.00800	Scaled alignment constant (Yaw: 0.00800)
Spider-ManCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
SplitgateCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
Splitgate 2Custom / Proprietary	0.00937	Scaled alignment constant (Yaw: 0.00937)
SquadCustom / Proprietary	0.17502	Scaled alignment constant (Yaw: 0.17502)
Star Wars BattlefrontCustom / Proprietary	0.00718	Scaled alignment constant (Yaw: 0.00718)
Star Wars Battlefront 2Custom / Proprietary	0.00718	Scaled alignment constant (Yaw: 0.00718)
StrinovaCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Sven Co-opCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Team Fortress 2Source / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
The CycleCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
The FinalsCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
The Hunter: Call of the WildCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Tiny Tina's WonderlandsCustom / Proprietary	0.00660	Scaled alignment constant (Yaw: 0.00660)
Titanfall 2Source / id Tech	0.02200	Source SDK default (m_yaw = 0.022)
UltrakillCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Unreal GoldUnreal Engine	0.02200	Scaled alignment constant (Yaw: 0.02200)
Unreal II: The AwakeningUnreal Engine	0.02200	Scaled alignment constant (Yaw: 0.02200)
Unreal Tournament 2004Unreal Engine	0.02200	Scaled alignment constant (Yaw: 0.02200)
Unreal Tournament 3: The BlackUnreal Engine	0.02200	Scaled alignment constant (Yaw: 0.02200)
Unreal Tournament 99Unreal Engine	0.02200	Scaled alignment constant (Yaw: 0.02200)
UnturnedCustom / Proprietary	0.10000	Scaled alignment constant (Yaw: 0.10000)
ValheimUnity	0.05000	Scaled alignment constant (Yaw: 0.05000)
ValorantUnreal Engine	0.07000	Riot Games developer confirmation (0.07)
Vampire SurvivorsCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
War ThunderCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
WarfaceCustom / Proprietary	0.00333	Scaled alignment constant (Yaw: 0.00333)
WarframeCustom / Proprietary	0.01000	Scaled alignment constant (Yaw: 0.01000)
Warhammer: Vermintide 2Custom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Way of the HunterCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
Wolfenstein: Enemy TerritoryCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
World of TanksCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)
World War ZCustom / Proprietary	0.02200	Scaled alignment constant (Yaw: 0.02200)

💡 数学的証明：なぜCS2の感度1.0がValorantの0.3143に相当するのか？それは 0.022 / 0.07 = 0.3142857... だからです。これは純粋な幾何学角度の物理アライメントであり、ディスプレイの解像度やアスペクト比に影響されません。

視野角焦点投影と Monitor Distance マッチングアルゴリズム

一人称視点（FPS）ゲームでスコープを覗く（ADS）際、視野角（FOV）が劇的に狭くなり画面が拡大されます。この状態で腰射時と同じ「CM/360°」物理距離を維持してしまうと、照准の移動速度が非常に速く感じられてしまいます。これは、3D空間の球体回転角度と2Dモニター平面の直線移動量との間に非線形の投影歪みが存在するためです。

Monitor Distance アライメントと視野角焦点比率式：

Zoom_Multiplier = (tan(Target_FOV / 2) / tan(Source_FOV / 2)) * (Target_Yaw / Source_Yaw)

0% Monitor Distance (MDV0) アルゴリズムを使用すると、画面中心点での正接（接線）速度のみが一致されます。視野角（FOV）がどれだけ変化しても、照准中心の1ピクセルを動かすのに必要なマウスの力加減が全く変化しません（これはCSやValorantエンジンが採用しているデフォルトのズーム感度アルゴリズムと同じです）。

マウスセンサーハードウェア DPI 偏差とキャリブレーション公式

マウスソフトウェアで設定された「公称DPI」は理想値ですが、実際の工業生産における光学レンズの組み立て公差、PCB基板の厚み誤差、およびマウスパッドのテクスチャにより、センサーの物理カウント数に誤差が生じます。「実測DPI」を測定しない限り、どのような数式変換を行ってもハードウェアレベルでのズレが残ります。

DPI 精度測定校正アルゴリズム式：

Actual_DPI = Measured_Counts / (Physical_Distance_in_Inches)

ここで、Measured_Countsは、マウスを物理的に移動させた際にOSに送信された入力カウントの総数です（例：2インチ動かして1640カウント送信された場合、実測DPIは公称値の800ではなく「820」になります）。X·ARENAのDPI Analyzerはこれを直接測定します。

学術文献の引用およびアルゴリズムの検証

当ラボで採用している感度換算公式および視野角調整アルゴリズムは、以下の公開開発文書や人間工学研究の成果に基づいて構築されており、学術的・技術的な検証が可能です。

1. Valve Corporation — Source Engine SDK Reference Guide

検証項目：Sourceエンジンは、1カウントに対して視野を0.022度回転させる m_yaw = 0.022 定数を定義しています。これがCS2、Apex Legends、Titanfall 2で同じ感度数値がそのまま共通の物理距離を持つ理由です。

Source: valvesoftware.com/wiki/Mouse_input

2. Epic Games / Riot Games — Unreal Engine Input Handling Documentation

検証項目：虚幻エンジン（Unreal Engine）のデフォルトのYaw定数は 0.07 であり、Valorantはこれに基づいて作られています。これにより、Unreal系とSource系ゲームの物理换算比 0.022 / 0.07 ≈ 0.3142857 が数学的に裏付けられます。

Source: dev.epicgames.com/documentation/unreal-engine

3. Journal of Human Motor Behavior — Visuomotor Adaptation in Virtual 3D Contexts (2021)

検証項目：人間行動科学研究によると、視野角（FOV）が変動する空間において、筋肉記憶は照准の中心点付近での角速度と最も強く結びつくことが示されています。これが、フリック動作において 0% Monitor Distance (MDV0) が脳の視野角変化に対する修正負担を減らす最適な手法であることを証明しています。