Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp140.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15610/30·(8−1.1)/1000 + 1.1)·30 = 140.7 m
Max Vert Disp84.4 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 140.7 × 0.6 = 84.4 m
Med Horiz Disp45 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 140.7 × 0.32 (σ=2) = 45 m
Med Vert Disp27 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 84.4 × 0.32 (σ=2) = 27 m
AP Pen Close655.3 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 × 2562 × 330^0.69 × 0.283^-1.07 × 910^1.38 = 655.3 mm. Matches the in-game spec card.
AP Pen Far256.4 mm
Same formula at the ship's max firing range (19.5 km), where the shell has slowed to 461.1 m/s: 1e-7 × 2562 × 330^0.69 × 0.283^-1.07 × 461.1^1.38 = 256.4 mm.
HE penetration71 mm
71 mm ≈ 283 mm caliber / 4 (improved HE penetration: German BBs, Yamato-class, and a handful of others).
Improved HE PenYes
This ship's HE shells use a 1/4 (~0.25) caliber-to-pen ratio instead of the standard 1/6 (~0.167) - 0.251 in this case. Lets HE pen ~70mm armor instead of ~47mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch19 mm
floor(283 mm caliber / 14.3) = 19 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius60
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 alpha6
All 6 barrels bear on the broadside.
Turret turn time20 s
180 degrees / 9 deg/s traverse speed = 20 s.
HE full-salvo alpha19,200
3,200 HE damage x 6 broadside guns = 19,200.
AP full-salvo alpha50,400
8,400 AP damage x 6 broadside guns = 50,400.
Base HE DPM64,000
19,200 HE full-salvo alpha x 60 / 18 s base reload = 64,000.
Base AP DPM168,000
50,400 AP full-salvo alpha x 60 / 18 s base reload = 168,000.
Installed HE DPM71,111
19,200 HE full-salvo alpha x 60 / 16.2 s installed reload (Main Battery Mod. 3 = -10%) = 71,111.
Installed AP DPM186,667
50,400 AP full-salvo alpha x 60 / 16.2 s installed reload (Main Battery Mod. 3 = -10%) = 186,667.
Base shells/min20
6 broadside guns x 60 / 18 s base reload = 20.
Installed shells/min22.2
6 broadside guns x 60 / 16.2 s installed Artillery reload = 22.2.
Base fires/min4
6 HE shells x 60 / 18 s reload x 20% fire chance = 4.
Installed fires/min4.44
6 HE shells x 60 / 16.2 s installed reload x 20% fire chance = 4.44.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed64 kt
Travel time to max range60 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage101,600
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage50,800
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS323
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (6×3.5×0.9) + (61×3.5×0.85) + (39×3.5×0.9) = 323. 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 range4.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index982
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 firepower
Secondary DPM (per side)169,755
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: 6×2 105 mm (6/side) × 60/3.35 × 1200 = 128,955 + 2×3 150 mm (3/side) × 60/7.5 × 1700 = 40,800. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1700
Maximum HE damage per shell across secondary HE families. Best on this ship: 1700 from the 150 mm family.
Max HE fire chance8%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 8% from the 150 mm family.
Max HE pen38 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: 38 mm from the 150 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Main Battery Reload Booster
Catapult Fighter
Repair Party