Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp110.3 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{11206}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 110.3\,\text{m}$
Max Vert Disp66.2 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 110.3 \cdot 0.6 = 66.2\,\text{m}$
Med Horiz Disp35.3 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 110.3 \cdot 0.32\;(\sigma = 2) = 35.3\,\text{m}$
Med Vert Disp21.2 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 66.2 \cdot 0.32\;(\sigma = 2) = 21.2\,\text{m}$
AP Pen Close141.8 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1445 \cdot 41.4^{0.69} \cdot 0.152^{-1.07} \cdot 792.5^{1.38} = 141.8\,\text{mm}$. Matches the in-game spec card.
AP Pen Far25.6 mm
Same formula at the ship's max firing range (13.2 km), where the shell has slowed to 229.1 m/s: $P = 10^{-7}\cdot 1445 \cdot 41.4^{0.69} \cdot 0.152^{-1.07} \cdot 229.1^{1.38} = 25.6\,\text{mm}$.
HE penetration25 mm
25 mm ≈ 152 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius10
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 alpha6
Barrels that can bear on one beam (6 of 12); casemate/wing mounts only fire one side.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha12,600
2,100 HE damage x 6 broadside guns = 12,600.
AP full-salvo alpha16,200
2,700 AP damage x 6 broadside guns = 16,200.
Base HE DPM94,500
12,600 HE full-salvo alpha x 60 / 8 s base reload = 94,500.
Base AP DPM121,500
16,200 AP full-salvo alpha x 60 / 8 s base reload = 121,500.
Base shells/min45
6 broadside guns x 60 / 8 s base reload = 45.
Base fires/min3.6
6 HE shells x 60 / 8 s reload x 8% fire chance = 3.6.
Secondary battery firepower
Secondary DPM (per side)135,000
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: 12×1 75 mm (6/side) × 60/4 × 1500 = 135,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1500
Maximum HE damage per shell across secondary HE families. Best on this ship: 1500 from the 75 mm family.
Max HE fire chance4%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 4% from the 75 mm family.
Max HE pen13 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: 13 mm from the 75 mm family.
Damage Control Party