Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp181 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15832/30·(10−1.6)/1000 + 1.6)·30 = 181 m
Max Vert Disp108.6 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 181 × 0.6 = 108.6 m
Med Horiz Disp56.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 181 × 0.314 (σ=2.05) = 56.8 m
Med Vert Disp34.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 108.6 × 0.314 (σ=2.05) = 34.1 m
AP Pen Close604 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: 1e-7 × Krupp × mass^0.69 × caliber_m^-1.07 × v0^1.38 = 1e-7 × 2225 × 442^0.69 × 0.305^-1.07 × 870^1.38 = 604 mm. Matches the in-game spec card.
AP Pen Far310 mm
Same formula at the ship's max firing range (19.8 km), where the shell has slowed to 536.6 m/s: 1e-7 × 2225 × 442^0.69 × 0.305^-1.07 × 536.6^1.38 = 310 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 Radius175
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 alpha10
All 10 barrels bear on the broadside.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha48,000
4,800 HE damage x 10 broadside guns = 48,000.
AP full-salvo alpha87,000
8,700 AP damage x 10 broadside guns = 87,000.
Base HE DPM120,000
48,000 HE full-salvo alpha x 60 / 24 s base reload = 120,000.
Base AP DPM217,500
87,000 AP full-salvo alpha x 60 / 24 s base reload = 217,500.
Installed HE DPM133,333
48,000 HE full-salvo alpha x 60 / 21.6 s installed reload (Main Battery Mod. 3 = -10%) = 133,333.
Installed AP DPM241,667
87,000 AP full-salvo alpha x 60 / 21.6 s installed reload (Main Battery Mod. 3 = -10%) = 241,667.
Base shells/min25
10 broadside guns x 60 / 24 s base reload = 25.
Installed shells/min27.8
10 broadside guns x 60 / 21.6 s installed Artillery reload = 27.8.
Base fires/min6.25
10 HE shells x 60 / 24 s reload x 25% fire chance = 6.25.
Installed fires/min6.94
10 HE shells x 60 / 21.6 s installed reload x 25% fire chance = 6.94.
AA defense
Close-range AA DPS514
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (93×3.5×0.9) + (31×3.5×0.85) + (41×3.5×0.9) = 514. 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 range5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1856
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)272,000
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: 8×2 100 mm (8/side) × 60/3 × 1400 = 224,000 + 4×2 139 mm (4/side) × 60/10 × 2000 = 48,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2000
Maximum HE damage per shell across secondary HE families. Best on this ship: 2000 from the 139 mm family.
Max HE fire chance8%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 8% from the 139 mm family.
Max HE pen35 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: 35 mm from the 139 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Repair Party
Engine Boost
Secondary Battery Booster
Catapult Fighter
Observation Seaplane