Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp92.4 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{10318}{30}\cdot\dfrac{8-0.5}{1000} + 0.5\right)\cdot 30 = 92.4\,\text{m}$
Max Vert Disp55.4 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 92.4 \cdot 0.6 = 55.4\,\text{m}$
Med Horiz Disp29.5 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 92.4 \cdot 0.319\;(\sigma = 2) = 29.5\,\text{m}$
Med Vert Disp17.7 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 55.4 \cdot 0.319\;(\sigma = 2) = 17.7\,\text{m}$
AP Pen Close219.2 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1830 \cdot 47.7^{0.69} \cdot 0.152^{-1.07} \cdot 853^{1.38} = 219.2\,\text{mm}$. Matches the in-game spec card.
AP Pen Far59.9 mm
Same formula at the ship's max firing range (12.9 km), where the shell has slowed to 333.1 m/s: $P = 10^{-7}\cdot 1830 \cdot 47.7^{0.69} \cdot 0.152^{-1.07} \cdot 333.1^{1.38} = 59.9\,\text{mm}$.
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 alpha4
Barrels that can bear on one beam (4 of 6); casemate/wing mounts only fire one side.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha8,400
2,100 HE damage x 4 broadside guns = 8,400.
AP full-salvo alpha10,200
2,550 AP damage x 4 broadside guns = 10,200.
Base HE DPM90,000
8,400 HE full-salvo alpha x 60 / 5.6 s base reload = 90,000.
Base AP DPM109,286
10,200 AP full-salvo alpha x 60 / 5.6 s base reload = 109,286.
Base shells/min42.9
4 broadside guns x 60 / 5.6 s base reload = 42.9.
Base fires/min3
4 HE shells x 60 / 5.6 s reload x 7% fire chance = 3.
Secondary battery firepower
Secondary DPM (per side)20,400
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: 4×1 120 mm (2/side) × 60/10 × 1700 = 20,400. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1700
Maximum HE damage per shell across secondary HE families. Best on this ship: 1700 from the 120 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 120 mm family.
Max HE pen20 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: 20 mm from the 120 mm family.
Damage Control Party