Main battery formulas
Shell Grouping (σ)2.1
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp180.6 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15780/30·(10−1.6)/1000 + 1.6)·30 = 180.6 m
Max Vert Disp108.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 180.6 × 0.6 = 108.3 m
Med Horiz Disp55.6 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 180.6 × 0.308 (σ=2.1) = 55.6 m
Med Vert Disp33.4 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 108.3 × 0.308 (σ=2.1) = 33.4 m
AP Pen Close631.2 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 × 2330 × 879^0.69 × 0.381^-1.07 × 732^1.38 = 631.2 mm. Matches the in-game spec card.
AP Pen Far336.1 mm
Same formula at the ship's max firing range (19.7 km), where the shell has slowed to 463.7 m/s: 1e-7 × 2330 × 879^0.69 × 0.381^-1.07 × 463.7^1.38 = 336.1 mm.
HE penetration64 mm
64 mm ≈ 381 mm caliber / 6 (standard HE penetration ratio).
AP overmatch26 mm
floor(381 mm caliber / 14.3) = 26 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius90
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 alpha6
All 6 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha32,100
5,350 HE damage x 6 broadside guns = 32,100.
AP full-salvo alpha72,000
12,000 AP damage x 6 broadside guns = 72,000.
Base HE DPM80,250
32,100 HE full-salvo alpha x 60 / 24 s base reload = 80,250.
Base AP DPM180,000
72,000 AP full-salvo alpha x 60 / 24 s base reload = 180,000.
Base shells/min15
6 broadside guns x 60 / 24 s base reload = 15.
Base fires/min5.1
6 HE shells x 60 / 24 s reload x 34% fire chance = 5.1.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time8.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed61 kt
Travel time to max range66.3 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
8 launchers x 1 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage118,136
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage59,068
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS454
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (31×3.5×0.75) + (138×3.5×0.7) + (13×3.5×0.75) = 454. 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 index1050
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 range2 km
Secondary battery firepower
Secondary DPM (per side)81,600
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: 4×2 114 mm (4/side) × 60/5 × 1700 = 81,600. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1700
Maximum HE damage per shell across secondary HE families. Best on this ship: 1700 from the 114 mm family.
Max HE fire chance8%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 8% from the 114 mm family.
Max HE pen19 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: 19 mm from the 114 mm family.
Damage Control Party
Repair Party
Engine Boost
Sonar
Defensive AA Fire
Secondary Battery Booster