Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp140.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15564/30·(8−1.1)/1000 + 1.1)·30 = 140.4 m
Max Vert Disp84.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 140.4 × 0.6 = 84.2 m
Med Horiz Disp44.9 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 140.4 × 0.32 (σ=2) = 44.9 m
Med Vert Disp26.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 84.2 × 0.319 (σ=2) = 26.9 m
AP Pen Close506.2 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 × 2919 × 152^0.69 × 0.203^-1.07 × 782^1.38 = 506.2 mm. Matches the in-game spec card.
AP Pen Far182.4 mm
Same formula at the ship's max firing range (19.5 km), where the shell has slowed to 373.3 m/s: 1e-7 × 2919 × 152^0.69 × 0.203^-1.07 × 373.3^1.38 = 182.4 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 Radius30
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 alpha12
All 12 barrels bear on the broadside.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha33,600
2,800 HE damage x 12 broadside guns = 33,600.
AP full-salvo alpha55,200
4,600 AP damage x 12 broadside guns = 55,200.
Base HE DPM139,034
33,600 HE full-salvo alpha x 60 / 14.5 s base reload = 139,034.
Base AP DPM228,414
55,200 AP full-salvo alpha x 60 / 14.5 s base reload = 228,414.
Installed HE DPM153,893
33,600 HE full-salvo alpha x 60 / 13.1 s installed reload (Main Battery Mod. 3 = -10%) = 153,893.
Installed AP DPM252,824
55,200 AP full-salvo alpha x 60 / 13.1 s installed reload (Main Battery Mod. 3 = -10%) = 252,824.
Base shells/min49.7
12 broadside guns x 60 / 14.5 s base reload = 49.7.
Installed shells/min55
12 broadside guns x 60 / 13.1 s installed Artillery reload = 55.
Base fires/min6.95
12 HE shells x 60 / 14.5 s reload x 14% fire chance = 6.95.
Installed fires/min7.69
12 HE shells x 60 / 13.1 s installed reload x 14% fire chance = 7.69.
Torpedoes
Torpedo detectability1.4 km
Estimated torpedo reaction time8.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed66 kt
Travel time to max range61.2 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage142,664
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage71,332
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS355
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (36×3.5×0.85) + (59×3.5×0.85) + (23×3.5×0.9) = 355. 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 index1121
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 range3.1 km
Secondary battery firepower
Secondary DPM (per side)72,000
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: 4×1 127 mm (2/side) × 60/6 × 1800 = 36,000 + 2×2 127 mm (2/side) × 60/6 × 1800 = 36,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance5%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 5% from the 127 mm family.
Max HE pen21 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: 21 mm from the 127 mm family.
Damage Control Party
Sonar
Catapult Fighter
Smoke Generator
Defensive AA Fire
Repair Party