Main battery formulas
Shell Grouping (σ)2.1
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp140.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15622/30·(8−1.1)/1000 + 1.1)·30 = 140.8 m
Max Vert Disp84.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 140.8 × 0.6 = 84.5 m
Med Horiz Disp43.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 140.8 × 0.308 (σ=2.1) = 43.4 m
Med Vert Disp26 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 84.5 × 0.308 (σ=2.1) = 26 m
AP Pen Close451.4 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 × 2450 × 125.3^0.69 × 0.203^-1.07 × 900^1.38 = 451.4 mm. Matches the in-game spec card.
AP Pen Far153.6 mm
Same formula at the ship's max firing range (19.5 km), where the shell has slowed to 412 m/s: 1e-7 × 2450 × 125.3^0.69 × 0.203^-1.07 × 412^1.38 = 153.6 mm.
HE penetration34 mm
34 mm ≈ 203 mm caliber / 6 (standard HE penetration ratio).
AP overmatch14 mm
floor(203 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius24
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 time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha22,400
2,800 HE damage x 8 broadside guns = 22,400.
AP full-salvo alpha38,400
4,800 AP damage x 8 broadside guns = 38,400.
Base HE DPM89,600
22,400 HE full-salvo alpha x 60 / 15 s base reload = 89,600.
Base AP DPM153,600
38,400 AP full-salvo alpha x 60 / 15 s base reload = 153,600.
Base shells/min32
8 broadside guns x 60 / 15 s base reload = 32.
Base fires/min4.48
8 HE shells x 60 / 15 s reload x 14% fire chance = 4.48.
AA defense
Close-range AA DPS177
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (16×3.5×0.9) + (14×3.5×0.85) + (27×3.5×0.9) = 177. 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 index491
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)120,000
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: 8×2 100 mm (8/side) × 60/6 × 1500 = 120,000. 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 100 mm family.
Max HE fire chance6%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 6% from the 100 mm family.
Max HE pen17 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: 17 mm from the 100 mm family.
Damage Control Party
Exhaust Smoke Generator
Defensive AA Fire
Sonar
Catapult Fighter