Main battery formulas
Shell Grouping (σ)1.7
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp193.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15828/30·(10−2.5)/1000 + 2.5)·30 = 193.7 m
Max Vert Disp135.6 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 193.7 × 0.7 = 135.6 m
Med Horiz Disp69 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 193.7 × 0.356 (σ=1.7) = 69 m
Med Vert Disp48.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 135.6 × 0.356 (σ=1.7) = 48.3 m
Dispersion familyFusō/Mutsu Disp.
In-game dispersion family: Fusō/Mutsu Disp..
AP Pen Close669.1 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 × 2200 × 1000^0.69 × 0.41^-1.07 × 790^1.38 = 669.1 mm. Matches the in-game spec card.
AP Pen Far305.4 mm
Same formula at the ship's max firing range (19.8 km), where the shell has slowed to 447.5 m/s: 1e-7 × 2200 × 1000^0.69 × 0.41^-1.07 × 447.5^1.38 = 305.4 mm.
HE penetration68 mm
68 mm ≈ 410 mm caliber / 6 (standard HE penetration ratio).
AP overmatch28 mm
floor(410 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius120
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 time40 s
180 degrees / 4.5 deg/s traverse speed = 40 s.
HE full-salvo alpha52,000
6,500 HE damage x 8 broadside guns = 52,000.
AP full-salvo alpha99,200
12,400 AP damage x 8 broadside guns = 99,200.
Base HE DPM104,000
52,000 HE full-salvo alpha x 60 / 30 s base reload = 104,000.
Base AP DPM198,400
99,200 AP full-salvo alpha x 60 / 30 s base reload = 198,400.
Base shells/min16
8 broadside guns x 60 / 30 s base reload = 16.
Base fires/min4.8
8 HE shells x 60 / 30 s reload x 30% fire chance = 4.8.
Torpedoes
Torpedo detectability1.2 km
Estimated torpedo reaction time8.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed57 kt
Travel time to max range47.2 s
range / (speed kt x 2.6 community game-speed factor).
Tube count4
4 launchers x 1 tubes.
Per-side salvo2 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage39,732
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage19,866
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS99
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (12×3.5×0.75) + (4×3.5×0.85) + (21×3.5×0.75) = 99. 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 index351
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 km
Secondary battery firepower
Secondary DPM (per side)280,800
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: 4×2 127 mm (4/side) × 60/5 × 2100 = 100,800 + 20×1 140 mm (10/side) × 60/8 × 2400 = 180,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2400
Maximum HE damage per shell across secondary HE families. Best on this ship: 2400 from the 140 mm family.
Max HE fire chance10%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 10% from the 140 mm family.
Max HE pen23 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: 23 mm from the 140 mm family.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster
Engine Boost