Main battery formulas
Shell Grouping (σ)1.5
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp197 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13697/30·(12−2)/1000 + 2)·30 = 197 m
Max Vert Disp118.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 197 × 0.6 = 118.2 m
Med Horiz Disp75.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 197 × 0.382 (σ=1.5) = 75.2 m
Med Vert Disp45.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 118.2 × 0.382 (σ=1.5) = 45.1 m
AP Pen Close510.9 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 × 2187 × 389.8^0.69 × 0.305^-1.07 × 831^1.38 = 510.9 mm. Matches the in-game spec card.
AP Pen Far178.8 mm
Same formula at the ship's max firing range (17.1 km), where the shell has slowed to 388.3 m/s: 1e-7 × 2187 × 389.8^0.69 × 0.305^-1.07 × 388.3^1.38 = 178.8 mm.
HE penetration76 mm
76 mm ≈ 305 mm caliber / 4 (improved HE penetration: German BBs, Yamato-class, and a handful of others).
Improved HE PenYes
This ship's HE shells use a 1/4 (~0.25) caliber-to-pen ratio instead of the standard 1/6 (~0.167) - 0.249 in this case. Lets HE pen ~76mm armor instead of ~50mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius40
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 alpha14
All 14 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha61,600
4,400 HE damage x 14 broadside guns = 61,600.
AP full-salvo alpha113,400
8,100 AP damage x 14 broadside guns = 113,400.
Base HE DPM102,667
61,600 HE full-salvo alpha x 60 / 36 s base reload = 102,667.
Base AP DPM189,000
113,400 AP full-salvo alpha x 60 / 36 s base reload = 189,000.
Base shells/min23.3
14 broadside guns x 60 / 36 s base reload = 23.3.
Base fires/min7.23
14 HE shells x 60 / 36 s reload x 31% fire chance = 7.23.
Secondary battery firepower
Secondary DPM (per side)403,333
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: 14×1 152 mm (7/side) × 60/4.5 × 2200 = 205,333 + 6×1 152 mm (3/side) × 60/4.5 × 2200 = 88,000 + 10×1 76 mm (5/side) × 60/3 × 1100 = 110,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2200
Maximum HE damage per shell across secondary HE families. Best on this ship: 2200 from the 152 mm family.
Max HE fire chance12%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 12% 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
Secondary Battery Booster
