Main battery formulas
Shell Grouping (σ)1.5
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp191.8 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{13183}{30}\cdot\dfrac{12-2}{1000} + 2\right)\cdot 30 = 191.8\,\text{m}$
Max Vert Disp115.1 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 191.8 \cdot 0.6 = 115.1\,\text{m}$
Med Horiz Disp73.2 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 191.8 \cdot 0.382\;(\sigma = 1.5) = 73.2\,\text{m}$
Med Vert Disp43.9 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 115.1 \cdot 0.381\;(\sigma = 1.5) = 43.9\,\text{m}$
AP Pen Close571.2 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2226 \cdot 394.6^{0.69} \cdot 0.305^{-1.07} \cdot 884^{1.38} = 571.2\,\text{mm}$. Matches the in-game spec card.
AP Pen Far254.4 mm
Same formula at the ship's max firing range (16.5 km), where the shell has slowed to 491.9 m/s: $P = 10^{-7}\cdot 2226 \cdot 394.6^{0.69} \cdot 0.305^{-1.07} \cdot 491.9^{1.38} = 254.4\,\text{mm}$.
HE penetration51 mm
51 mm ≈ 305 mm caliber / 6 (standard HE penetration ratio).
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius40
AP shell over-penetration splash radius; scales with shell mass. Wickes 102mm = 3, standard 152mm CL ~ 20, Iowa 406mm ~ 270, Yamato 460mm = 400, Incomparable 650mm = 550 (max). Larger value = bigger splash damage area when AP over-pens.
Broadside guns used for alpha12
All 12 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha50,400
4,200 HE damage x 12 broadside guns = 50,400.
AP full-salvo alpha99,600
8,300 AP damage x 12 broadside guns = 99,600.
Base HE DPM100,800
50,400 HE full-salvo alpha x 60 / 30 s base reload = 100,800.
Base AP DPM199,200
99,600 AP full-salvo alpha x 60 / 30 s base reload = 199,200.
Base shells/min24
12 broadside guns x 60 / 30 s base reload = 24.
Base fires/min5.28
12 HE shells x 60 / 30 s reload x 22% fire chance = 5.28.
Secondary battery firepower
Secondary DPM (per side)162,000
Sum across all secondary families of (per-side barrels × 60 / reload_s × alpha), where per-side barrels = mounts × barrels-per-mount / 2 (the guns that bear on one broadside target). Per-family: 11×1 127 mm (5.5/side) × 60/7 × 1800 = 84,857 + 10×1 127 mm (5/side) × 60/7 × 1800 = 77,143. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance6%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 6% from the 127 mm family.
Max HE pen21 mm
Maximum HE armor penetration across secondary HE families (caliber × 1/6 for most nations; 1/4 for German/UK BBs). Shells whose pen falls under a plate's armor thickness shatter for 0 hull damage though fire chance still applies. Best on this ship: 21 mm from the 127 mm family.
Damage Control Party
Repair Party
Secondary Battery Booster