Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp224.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (16448/30·(12−2)/1000 + 2)·30 = 224.5 m
Max Vert Disp134.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 224.5 × 0.6 = 134.7 m
Med Horiz Disp77.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 224.5 × 0.344 (σ=1.8) = 77.2 m
Med Vert Disp46.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 134.7 × 0.344 (σ=1.8) = 46.3 m
AP Pen Close740 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 × 2400 × 879^0.69 × 0.381^-1.07 × 804^1.38 = 740 mm. Matches the in-game spec card.
AP Pen Far393.9 mm
Same formula at the ship's max firing range (20.6 km), where the shell has slowed to 509.1 m/s: 1e-7 × 2400 × 879^0.69 × 0.381^-1.07 × 509.1^1.38 = 393.9 mm.
HE penetration63 mm
floor(381 mm caliber / 6): standard HE penetration.
AP overmatch26 mm
floor(381 mm caliber / 14.3) = 26 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 alpha10
All 10 barrels bear on the broadside.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
AP full-salvo alpha107,000
10,700 AP damage x 10 broadside guns = 107,000.
Base AP DPM214,000
107,000 AP full-salvo alpha x 60 / 30 s base reload = 214,000.
Installed AP DPM237,778
107,000 AP full-salvo alpha x 60 / 27 s installed reload (Main Battery Mod. 3 = -10%) = 237,778.
Base shells/min20
10 broadside guns x 60 / 30 s base reload = 20.
Installed shells/min22.2
10 broadside guns x 60 / 27 s installed Artillery reload = 22.2.
AA defense
Close-range AA DPS563
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (96×3.5×0.75) + (98×3.5×0.7) + (27×3.5×0.75) = 563. 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 index1717
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 dispersion
Secondary dispersion typeImproved (40%) + Improved (22.5%)
This ship's secondary families don't share one dispersion bracket. Each family is listed below with its own slope; max dispersion = secondary range (km) × that family's slope + 30 m.
127 mm × 10 dispersion typeImproved (22.5%)
Max dispersion = range (km) × 43.5 + 30 for this family. Slope is set per gun model in the binary.
127 mm × 10 max disp @ 7.5 km356.2 m
7.5 km × 43.5 + 30 = 356.2 m.
234 mm × 8 dispersion typeImproved (40%, German battlecruiser type)
Max dispersion = range (km) × 33 + 30 for this family. Slope is set per gun model in the binary.
234 mm × 8 max disp @ 7.5 km277.5 m
7.5 km × 33 + 30 = 277.5 m.
Secondary battery firepower
Secondary DPM (per side)237,840
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: 10×1 127 mm (5/side) × 60/6 × 1800 = 90,000 + 8×2 234 mm (8/side) × 60/12.5 × 3850 = 147,840. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha3850
Maximum HE damage per shell across secondary HE families. Best on this ship: 3850 from the 234 mm family.
Max HE fire chance21%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 21% from the 234 mm family.
Max HE pen59 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: 59 mm from the 234 mm family.
Damage Control Party
Repair Party
Secondary Battery Booster
