Main battery formulas
Shell Grouping (σ)1.9
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp210.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (14748/30·(12−2.2)/1000 + 2.2)·30 = 210.5 m
Max Vert Disp126.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 210.5 × 0.6 = 126.3 m
Med Horiz Disp69.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 210.5 × 0.332 (σ=1.9) = 69.8 m
Med Vert Disp41.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 126.3 × 0.332 (σ=1.9) = 41.9 m
AP Pen Close707.5 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 × 2600 × 525^0.69 × 0.32^-1.07 × 830^1.38 = 707.5 mm. Matches the in-game spec card.
AP Pen Far296.4 mm
Same formula at the ship's max firing range (18.4 km), where the shell has slowed to 441.9 m/s: 1e-7 × 2600 × 525^0.69 × 0.32^-1.07 × 441.9^1.38 = 296.4 mm.
HE penetration55 mm
In-game data: 55 mm = 320 mm caliber / 5.82 (non-standard HE penetration ratio).
AP overmatch22 mm
floor(320 mm caliber / 14.3) = 22 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius55
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 time36 s
180 degrees / 5 deg/s traverse speed = 36 s.
HE full-salvo alpha48,000
4,800 HE damage x 10 broadside guns = 48,000.
AP full-salvo alpha97,000
9,700 AP damage x 10 broadside guns = 97,000.
Base HE DPM96,000
48,000 HE full-salvo alpha x 60 / 30 s base reload = 96,000.
Base AP DPM194,000
97,000 AP full-salvo alpha x 60 / 30 s base reload = 194,000.
Base shells/min20
10 broadside guns x 60 / 30 s base reload = 20.
Base fires/min7
10 HE shells x 60 / 30 s reload x 35% fire chance = 7.
AA defense
Close-range AA DPS188
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (42×3.5×0.75) + (20×3.5×0.7) + (11×3.5×0.75) = 188. 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 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index599
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)162,000
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: 4×2 100 mm (4/side) × 60/6 × 1500 = 60,000 + 4×2 120 mm (4/side) × 60/6 × 1700 = 68,000 + 2×2 120 mm (2/side) × 60/6 × 1700 = 34,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1700
Maximum HE damage per shell across secondary HE families. Best on this ship: 1700 from the 120 mm family.
Max HE fire chance7%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 7% 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
Repair Party
Secondary Battery Booster