Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp220.3 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (16032/30·(12−2)/1000 + 2)·30 = 220.3 m
Max Vert Disp132.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 220.3 × 0.6 = 132.2 m
Med Horiz Disp69.1 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 220.3 × 0.314 (σ=2.05) = 69.1 m
Med Vert Disp41.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 132.2 × 0.314 (σ=2.05) = 41.5 m
AP Pen Close713.3 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 × 2400 × 471^0.69 × 0.305^-1.07 × 900^1.38 = 713.3 mm. Matches the in-game spec card.
AP Pen Far408.2 mm
Same formula at the ship's max firing range (20 km), where the shell has slowed to 600.6 m/s: 1e-7 × 2400 × 471^0.69 × 0.305^-1.07 × 600.6^1.38 = 408.2 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 Radius150
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 alpha9
All 9 barrels bear on the broadside.
Turret turn time35.3 s
180 degrees / 5.1 deg/s traverse speed = 35.3 s.
HE full-salvo alpha37,800
4,200 HE damage x 9 broadside guns = 37,800.
AP full-salvo alpha81,000
9,000 AP damage x 9 broadside guns = 81,000.
Base HE DPM122,595
37,800 HE full-salvo alpha x 60 / 18.5 s base reload = 122,595.
Base AP DPM262,703
81,000 AP full-salvo alpha x 60 / 18.5 s base reload = 262,703.
Installed HE DPM135,808
37,800 HE full-salvo alpha x 60 / 16.7 s installed reload (Main Battery Mod. 3 = -10%) = 135,808.
Installed AP DPM291,018
81,000 AP full-salvo alpha x 60 / 16.7 s installed reload (Main Battery Mod. 3 = -10%) = 291,018.
Base shells/min29.2
9 broadside guns x 60 / 18.5 s base reload = 29.2.
Installed shells/min32.3
9 broadside guns x 60 / 16.7 s installed Artillery reload = 32.3.
Base fires/min7.01
9 HE shells x 60 / 18.5 s reload x 24% fire chance = 7.01.
Installed fires/min7.76
9 HE shells x 60 / 16.7 s installed reload x 24% fire chance = 7.76.
AA defense
Close-range AA DPS286
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (48×3.5×0.9) + (21×3.5×0.85) + (23×3.5×0.9) = 286. 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 index966
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)155,600
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: 2×2 100 mm (2/side) × 60/3.75 × 1400 = 44,800 + 2×2 100 mm (2/side) × 60/3.75 × 1400 = 44,800 + 4×2 152 mm (4/side) × 60/8 × 2200 = 66,000. 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
Surveillance Radar
Defensive AA Fire
Repair Party
Catapult Fighter