Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp136.7 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{15024}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 136.7\,\text{m}$
Max Vert Disp82 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 136.7 \cdot 0.6 = 82\,\text{m}$
Med Horiz Disp42.9 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 136.7 \cdot 0.314\;(\sigma = 2.05) = 42.9\,\text{m}$
Med Vert Disp25.7 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 82 \cdot 0.313\;(\sigma = 2.05) = 25.7\,\text{m}$
AP Pen Close467.2 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2846 \cdot 118^{0.69} \cdot 0.203^{-1.07} \cdot 853^{1.38} = 467.2\,\text{mm}$. Matches the in-game spec card.
AP Pen Far144.1 mm
Same formula at the ship's max firing range (18.8 km), where the shell has slowed to 363.8 m/s: $P = 10^{-7}\cdot 2846 \cdot 118^{0.69} \cdot 0.203^{-1.07} \cdot 363.8^{1.38} = 144.1\,\text{mm}$.
HE penetration34 mm
34 mm ≈ 203 mm caliber / 6 (standard HE penetration ratio).
AP overmatch14 mm
floor(203 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius30
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 alpha9
All 9 barrels bear on the broadside.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha27,000
3,000 HE damage x 9 broadside guns = 27,000.
AP full-salvo alpha43,200
4,800 AP damage x 9 broadside guns = 43,200.
Base HE DPM113,287
27,000 HE full-salvo alpha x 60 / 14.3 s base reload = 113,287.
Base AP DPM181,259
43,200 AP full-salvo alpha x 60 / 14.3 s base reload = 181,259.
Base shells/min37.8
9 broadside guns x 60 / 14.3 s base reload = 37.8.
Base fires/min5.29
9 HE shells x 60 / 14.3 s reload x 14% fire chance = 5.29.
AA defense
Close-range AA DPS328
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (52×3.5×0.9) + (32×3.5×0.85) + (22×3.5×0.9) = 328. Covers AA-only mounts plus dual-purpose secondaries (Bismarck 105mm, USN 5"/38 cruiser secondaries) and dual-purpose main batteries (Sumner-class 5"/38, Akizuki-line 100mm). Formula validated against in-game captures on California, Sumner, Manfred von Richthofen, Dante Alighieri (exact) and within +/-17% on the remaining verified ships.
Maximum AA range4.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1055
SUM over AA auras of (aura DPS x aura range km). A plane crossing the AA bubble is exposed to each aura for a time proportional to that aura's range, so long-reach DPS is worth more than the same DPS in a short bubble. Units: DPS*km; used to rank overall AA threat across the cohort.
Near aura range2 km
Secondary battery firepower
Secondary DPM (per side)96,000
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: 8×1 127 mm (4/side) × 60/4.5 × 1800 = 96,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance9%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 9% 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
Sonar
Defensive AA Fire
Surveillance Radar
Catapult Fighter