Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp133.1 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (14501/30·(8−1.1)/1000 + 1.1)·30 = 133.1 m
Max Vert Disp79.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 133.1 × 0.6 = 79.8 m
Med Horiz Disp42.5 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 133.1 × 0.319 (σ=2) = 42.5 m
Med Vert Disp25.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 79.8 × 0.32 (σ=2) = 25.5 m
AP Pen Close339.7 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 × 2216 × 55^0.69 × 0.152^-1.07 × 950^1.38 = 339.7 mm. Matches the in-game spec card.
AP Pen Far80.2 mm
Same formula at the ship's max firing range (19.9 km), where the shell has slowed to 333.8 m/s: 1e-7 × 2216 × 55^0.69 × 0.152^-1.07 × 333.8^1.38 = 80.2 mm.
HE penetration25 mm
25 mm ≈ 152 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius15
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 s
180 degrees / 7.2 deg/s traverse speed = 25 s.
HE full-salvo alpha27,600
2,300 HE damage x 12 broadside guns = 27,600.
AP full-salvo alpha40,800
3,400 AP damage x 12 broadside guns = 40,800.
Base HE DPM180,000 Δ
27,600 HE full-salvo alpha x 60 / 9.2 s base reload = 180,000
Base AP DPM266,087 Δ
40,800 AP full-salvo alpha x 60 / 9.2 s base reload = 266,087
Installed HE DPM200,000 Δ
27,600 HE full-salvo alpha x 60 / 8.28 s installed reload (Main Battery Mod. 3 = -10%) = 200,000
Installed AP DPM295,652 Δ
40,800 AP full-salvo alpha x 60 / 8.28 s installed reload (Main Battery Mod. 3 = -10%) = 295,652
Base shells/min78 Δ
12 broadside guns x 60 / 9.2 s base reload = 78
Installed shells/min87 Δ
12 broadside guns x 60 / 8.28 s installed Artillery reload = 87
Base fires/min9.39 Δ
12 HE shells x 60 / 9.2 s reload x 12% fire chance = 9.39
Installed fires/min10 Δ
12 HE shells x 60 / 8.28 s installed reload x 12% fire chance = 10
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range23.8 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo3 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage100,398
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage50,199
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS268
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (68×3.5×0.9) + (17×3.5×0.9) = 268. 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 index1017
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.
Secondary battery firepower
Secondary DPM (per side)89,600
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: 4×2 100 mm (4/side) × 60/3.75 × 1400 = 89,600. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1400
Maximum HE damage per shell across secondary HE families. Best on this ship: 1400 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
Sonar
Defensive AA Fire
Surveillance Radar
Repair Party