Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp230.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (17080/30·(12−2)/1000 + 2)·30 = 230.8 m
Max Vert Disp138.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 230.8 × 0.6 = 138.5 m
Med Horiz Disp79.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 230.8 × 0.344 (σ=1.8) = 79.4 m
Med Vert Disp47.6 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 138.5 × 0.344 (σ=1.8) = 47.6 m
AP Pen Close631.7 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 × 2450 × 415^0.69 × 0.305^-1.07 × 865^1.38 = 631.7 mm. Matches the in-game spec card.
AP Pen Far289.1 mm
Same formula at the ship's max firing range (21.4 km), where the shell has slowed to 490.9 m/s: 1e-7 × 2450 × 415^0.69 × 0.305^-1.07 × 490.9^1.38 = 289.1 mm.
HE penetration51 mm
51 mm ≈ 305 mm caliber / 6 (standard HE penetration ratio).
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius150
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 time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha52,200
4,350 HE damage x 12 broadside guns = 52,200.
AP full-salvo alpha100,800
8,400 AP damage x 12 broadside guns = 100,800.
Base HE DPM125,280
52,200 HE full-salvo alpha x 60 / 25 s base reload = 125,280.
Base AP DPM241,920
100,800 AP full-salvo alpha x 60 / 25 s base reload = 241,920.
Installed HE DPM139,200
52,200 HE full-salvo alpha x 60 / 22.5 s installed reload (Main Battery Mod. 3 = -10%) = 139,200.
Installed AP DPM268,800
100,800 AP full-salvo alpha x 60 / 22.5 s installed reload (Main Battery Mod. 3 = -10%) = 268,800.
Base shells/min28.8
12 broadside guns x 60 / 25 s base reload = 28.8.
Installed shells/min32
12 broadside guns x 60 / 22.5 s installed Artillery reload = 32.
Base fires/min8.06
12 HE shells x 60 / 25 s reload x 28% fire chance = 8.06.
Installed fires/min8.96
12 HE shells x 60 / 22.5 s installed reload x 28% fire chance = 8.96.
Torpedoes
Torpedo detectability1.6 km
Estimated torpedo reaction time7.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed86 kt
Travel time to max range44.7 s
range / (speed kt x 2.6 community game-speed factor).
Tube count16
4 launchers x 4 tubes.
Per-side salvo8 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage156,800
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage78,400
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS627
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (192×3.5×0.75) + (47×3.5×0.75) = 627. 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 range5.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index2406
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)327,200
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: 6×2 120 mm (6/side) × 60/3 × 1700 = 204,000 + 14×1 150 mm (7/side) × 60/7.5 × 2200 = 123,200. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2200
Maximum HE damage per shell across secondary HE families. Best on this ship: 2200 from the 150 mm family.
Max HE fire chance13%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 13% from the 150 mm family.
Max HE pen25 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: 25 mm from the 150 mm family.
Damage Control Party
Repair Party
Sonar
Secondary Battery Booster
