Main battery formulas
Shell Grouping (σ)1.7
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp193.3 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13473/30·(13−1.1)/1000 + 1.1)·30 = 193.3 m
Max Vert Disp145 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 193.3 × 0.75 = 145 m
Med Horiz Disp68.9 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 193.3 × 0.356 (σ=1.7) = 68.9 m
Med Vert Disp51.7 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 145 × 0.357 (σ=1.7) = 51.7 m
AP Pen Close719.7 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 × 2350 × 747.8^0.69 × 0.356^-1.07 × 823^1.38 = 719.7 mm. Matches the in-game spec card.
AP Pen Far357.3 mm
Same formula at the ship's max firing range (18.5 km), where the shell has slowed to 495.5 m/s: 1e-7 × 2350 × 747.8^0.69 × 0.356^-1.07 × 495.5^1.38 = 357.3 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 Radius90
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 alpha8
All 8 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha41,600
5,200 HE damage x 8 broadside guns = 41,600.
AP full-salvo alpha84,000
10,500 AP damage x 8 broadside guns = 84,000.
Base HE DPM75,636
41,600 HE full-salvo alpha x 60 / 33 s base reload = 75,636.
Base AP DPM152,727
84,000 AP full-salvo alpha x 60 / 33 s base reload = 152,727.
Base shells/min14.5
8 broadside guns x 60 / 33 s base reload = 14.5.
Base fires/min5.53
8 HE shells x 60 / 33 s reload x 38% fire chance = 5.53.
AA defense
Close-range AA DPS248
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (61×3.5×0.75) + (36×3.5×0.7) = 248. 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 range3.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index618
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 range1.2 km
Secondary battery firepower
Secondary DPM (per side)76,000
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: 16×1 130 mm (8/side) × 60/12 × 1900 = 76,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1900
Maximum HE damage per shell across secondary HE families. Best on this ship: 1900 from the 130 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 130 mm family.
Max HE pen22 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: 22 mm from the 130 mm family.
Damage Control Party
Repair Party
Secondary Battery Booster