Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp232.6 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (17000/30·(12−2.2)/1000 + 2.2)·30 = 232.6 m
Max Vert Disp139.6 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 232.6 × 0.6 = 139.6 m
Med Horiz Disp74.3 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 232.6 × 0.319 (σ=2) = 74.3 m
Med Vert Disp44.6 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 139.6 × 0.319 (σ=2) = 44.6 m
AP Pen Close573.5 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 × 2312 × 330^0.69 × 0.283^-1.07 × 890^1.38 = 573.5 mm. Matches the in-game spec card.
AP Pen Far244.6 mm
Same formula at the ship's max firing range (21.2 km), where the shell has slowed to 480 m/s: 1e-7 × 2312 × 330^0.69 × 0.283^-1.07 × 480^1.38 = 244.6 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 Radius70
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 alpha9
All 9 barrels bear on the broadside.
Turret turn time25 s
180 degrees / 7.2 deg/s traverse speed = 25 s.
HE full-salvo alpha30,240
3,360 HE damage x 9 broadside guns = 30,240.
AP full-salvo alpha71,820
7,980 AP damage x 9 broadside guns = 71,820.
Base HE DPM82,473
30,240 HE full-salvo alpha x 60 / 22 s base reload = 82,473.
Base AP DPM195,873
71,820 AP full-salvo alpha x 60 / 22 s base reload = 195,873.
Installed HE DPM91,636
30,240 HE full-salvo alpha x 60 / 19.8 s installed reload (Main Battery Mod. 3 = -10%) = 91,636.
Installed AP DPM217,636
71,820 AP full-salvo alpha x 60 / 19.8 s installed reload (Main Battery Mod. 3 = -10%) = 217,636.
Base shells/min24.5
9 broadside guns x 60 / 22 s base reload = 24.5.
Installed shells/min27.3
9 broadside guns x 60 / 19.8 s installed Artillery reload = 27.3.
Base fires/min4.91
9 HE shells x 60 / 22 s reload x 20% fire chance = 4.91.
Installed fires/min5.45
9 HE shells x 60 / 19.8 s installed reload x 20% fire chance = 5.45.
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 range36.1 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 damage79,998
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage39,999
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS248
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (12×3.5×0.75) + (40×3.5×0.7) + (45×3.5×0.75) = 248. 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 index838
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)250,154
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: 7×2 105 mm (7/side) × 60/3.12 × 1200 = 161,538 + 4×2 150 mm (4/side) × 60/6.5 × 1600 = 59,077 + 4×1 150 mm (2/side) × 60/6.5 × 1600 = 29,538. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1600
Maximum HE damage per shell across secondary HE families. Best on this ship: 1600 from the 150 mm family.
Max HE fire chance12%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 12% 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
Repair Party
Catapult Fighter
Secondary Battery Booster
Engine Boost