Main battery formulas
Shell Grouping (σ)1.9
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp184.1 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{13902}{30}\cdot\dfrac{10-2.8}{1000} + 2.8\right)\cdot 30 = 184.1\,\text{m}$
Max Vert Disp147.3 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 184.1 \cdot 0.8 = 147.3\,\text{m}$
Med Horiz Disp61 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 184.1 \cdot 0.331\;(\sigma = 1.9) = 61\,\text{m}$
Med Vert Disp48.8 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 147.3 \cdot 0.331\;(\sigma = 1.9) = 48.8\,\text{m}$
AP Pen Close595 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2300 \cdot 635.5^{0.69} \cdot 0.356^{-1.07} \cdot 790^{1.38} = 595\,\text{mm}$. Matches the in-game spec card.
AP Pen Far256.8 mm
Same formula at the ship's max firing range (17.4 km), where the shell has slowed to 429.7 m/s: $P = 10^{-7}\cdot 2300 \cdot 635.5^{0.69} \cdot 0.356^{-1.07} \cdot 429.7^{1.38} = 256.8\,\text{mm}$.
HE penetration59 mm
59 mm ≈ 356 mm caliber / 6 (standard HE penetration ratio).
AP overmatch24 mm
floor(356 mm caliber / 14.3) = 24 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius60
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
All 6 barrels bear on the broadside.
Turret turn time37.5 s
180 degrees / 4.8 deg/s traverse speed = 37.5 s.
HE full-salvo alpha34,200
5,700 HE damage x 6 broadside guns = 34,200.
AP full-salvo alpha60,000
10,000 AP damage x 6 broadside guns = 60,000.
Base HE DPM93,273
34,200 HE full-salvo alpha x 60 / 22 s base reload = 93,273.
Base AP DPM163,636
60,000 AP full-salvo alpha x 60 / 22 s base reload = 163,636.
Base shells/min16.4
6 broadside guns x 60 / 22 s base reload = 16.4.
Base fires/min4.09
6 HE shells x 60 / 22 s reload x 25% fire chance = 4.09.
AA defense
Close-range AA DPS97
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (29×3.5×0.75) + (8×3.5×0.75) = 97. 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 range4.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index330
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.
Secondary battery firepower
Secondary DPM (per side)180,000
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: 6×1 120 mm (3/side) × 60/6 × 2000 = 60,000 + 16×1 152 mm (8/side) × 60/10 × 2500 = 120,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2500
Maximum HE damage per shell across secondary HE families. Best on this ship: 2500 from the 152 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 152 mm family.
Max HE pen25 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: 25 mm from the 152 mm family.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster