Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp110.9 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (11297/30·(8−1.1)/1000 + 1.1)·30 = 110.9 m
Max Vert Disp66.6 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 110.9 × 0.6 = 66.6 m
Med Horiz Disp35.5 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 110.9 × 0.32 (σ=2) = 35.5 m
Med Vert Disp21.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 66.6 × 0.32 (σ=2) = 21.3 m
AP Pen Close141.8 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 × 1445 × 41.4^0.69 × 0.152^-1.07 × 792.5^1.38 = 141.8 mm. Matches the in-game spec card.
AP Pen Far25.6 mm
Same formula at the ship's max firing range (13.2 km), where the shell has slowed to 229.1 m/s: 1e-7 × 1445 × 41.4^0.69 × 0.152^-1.07 × 229.1^1.38 = 25.6 mm.
HE penetration25 mm
25 mm ≈ 152 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius10
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
Barrels that can bear on one beam (8 of 12); casemate/wing mounts only fire one side.
Turret turn time36 s
180 degrees / 5 deg/s traverse speed = 36 s.
HE full-salvo alpha16,800
2,100 HE damage x 8 broadside guns = 16,800.
AP full-salvo alpha21,600
2,700 AP damage x 8 broadside guns = 21,600.
Base HE DPM112,000
16,800 HE full-salvo alpha x 60 / 9 s base reload = 112,000.
Base AP DPM144,000
21,600 AP full-salvo alpha x 60 / 9 s base reload = 144,000.
Base shells/min53.3
8 broadside guns x 60 / 9 s base reload = 53.3.
Base fires/min4.27
8 HE shells x 60 / 9 s reload x 8% fire chance = 4.27.
Secondary battery firepower
Secondary DPM (per side)135,000
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: 12×1 75 mm (6/side) × 60/4 × 1500 = 135,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1500
Maximum HE damage per shell across secondary HE families. Best on this ship: 1500 from the 75 mm family.
Max HE fire chance4%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 4% from the 75 mm family.
Max HE pen13 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: 13 mm from the 75 mm family.
Damage Control Party