Main battery formulas
Shell Grouping (σ)1.4
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp184.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (12108/30·(12−2.2)/1000 + 2.2)·30 = 184.7 m
Max Vert Disp110.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 184.7 × 0.6 = 110.8 m
Med Horiz Disp72.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 184.7 × 0.394 (σ=1.4) = 72.8 m
Med Vert Disp43.7 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 110.8 × 0.394 (σ=1.4) = 43.7 m
Dispersion familyEU BB Disp.
Standard BB dispersion. Used as the baseline for cross-family comparisons.
AP Pen Close498.1 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 × 2100 × 390^0.69 × 0.305^-1.07 × 840^1.38 = 498.1 mm. Matches the in-game spec card.
AP Pen Far211.7 mm
Same formula at the ship's max firing range (16.6 km), where the shell has slowed to 451.8 m/s: 1e-7 × 2100 × 390^0.69 × 0.305^-1.07 × 451.8^1.38 = 211.7 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 Radius40
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 time60 s
180 degrees / 3 deg/s traverse speed = 60 s.
HE full-salvo alpha45,600
3,800 HE damage x 12 broadside guns = 45,600.
AP full-salvo alpha94,800
7,900 AP damage x 12 broadside guns = 94,800.
Base HE DPM82,909
45,600 HE full-salvo alpha x 60 / 33 s base reload = 82,909.
Base AP DPM172,364
94,800 AP full-salvo alpha x 60 / 33 s base reload = 172,364.
Base shells/min21.8
12 broadside guns x 60 / 33 s base reload = 21.8.
Base fires/min5.02
12 HE shells x 60 / 33 s reload x 23% fire chance = 5.02.
AA defense
AA DPS at max range18
Only families that reach 3 km contribute at the outer edge of the AA bubble. In-game families: 76mm 4x1 -> 18 DPS @ 3 km; 40mm 8x1 -> 100 DPS @ 2.5 km.
Maximum AA range3 km
Longest-reaching family on the in-game AA card. Decoded AirDefense aura max range is 3 km; dual-purpose mount auras extend it.
AA DPS layered by range18 DPS @ 3 km, 118 DPS @ 2.5 km
Cumulative AA DPS at each family range threshold. Inner ranges stack the outer families, so a target closing the distance hits stronger AA bubbles as it crosses each band.
AA DPS at point-blank118
Sum of every family's average DPS, achievable only inside the closest-range family (2.5 km).
AA threat index304
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)560,000
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: 12×1 120 mm (6/side) × 60/3 × 2800 = 336,000 + 4×2 120 mm (4/side) × 60/3 × 2800 = 224,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max SAP alpha2800
Maximum SAP damage per shell across secondary SAP families. Best on this ship: 2800 from the 120 mm family.
Max SAP pen34.2 mm
Maximum SAP armor penetration across secondary SAP families. SAP auto-bounces past its ricochet angles but never shatters on plate it can pen, and it starts no fires. Best on this ship: 34.2 mm from the 120 mm family.
Damage Control Party
Repair Party
Secondary Battery Booster