Main battery formulas
Shell Grouping (σ)1.7
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp177.9 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15465/30·(10−1.6)/1000 + 1.6)·30 = 177.9 m
Max Vert Disp106.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 177.9 × 0.6 = 106.7 m
Med Horiz Disp63.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 177.9 × 0.356 (σ=1.7) = 63.4 m
Med Vert Disp38 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 106.7 × 0.356 (σ=1.7) = 38 m
AP Pen Close789.8 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 × 2800 × 840^0.69 × 0.406^-1.07 × 810^1.38 = 789.8 mm. Matches the in-game spec card.
AP Pen Far433.8 mm
Same formula at the ship's max firing range (21.3 km), where the shell has slowed to 524.7 m/s: 1e-7 × 2800 × 840^0.69 × 0.406^-1.07 × 524.7^1.38 = 433.8 mm.
HE penetration101 mm
101 mm ≈ 406 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) - 0.249 in this case. Lets HE pen ~101mm armor instead of ~67mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch28 mm
floor(406 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius250
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 alpha8
All 8 barrels bear on the broadside.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha38,400
4,800 HE damage x 8 broadside guns = 38,400.
AP full-salvo alpha92,000
11,500 AP damage x 8 broadside guns = 92,000.
Base HE DPM72,000
38,400 HE full-salvo alpha x 60 / 32 s base reload = 72,000.
Base AP DPM172,500
92,000 AP full-salvo alpha x 60 / 32 s base reload = 172,500.
Installed HE DPM80,000
38,400 HE full-salvo alpha x 60 / 28.8 s installed reload (Main Battery Mod. 3 = -10%) = 80,000.
Installed AP DPM191,667
92,000 AP full-salvo alpha x 60 / 28.8 s installed reload (Main Battery Mod. 3 = -10%) = 191,667.
Base shells/min15
8 broadside guns x 60 / 32 s base reload = 15.
Installed shells/min16.7
8 broadside guns x 60 / 28.8 s installed Artillery reload = 16.7.
Base fires/min5.7
8 HE shells x 60 / 32 s reload x 38% fire chance = 5.7.
Installed fires/min6.33
8 HE shells x 60 / 28.8 s installed reload x 38% fire chance = 6.33.
Torpedoes
Torpedo detectability1.2 km
Estimated torpedo reaction time8.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed56 kt
Travel time to max range51.5 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 damage248,528
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage124,264
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS400
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (102×3.5×0.7) + (57×3.5×0.75) = 400. 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 index1423
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 range3 km
Secondary battery firepower
Secondary DPM (per side)252,000
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: 10×2 105 mm (10/side) × 60/4 × 1200 = 180,000 + 6×2 150 mm (6/side) × 60/8.5 × 1700 = 72,000. 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
Repair Party
Secondary Battery Booster
Sonar