Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp228.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (16880/30·(12−2)/1000 + 2)·30 = 228.8 m
Max Vert Disp137.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 228.8 × 0.6 = 137.3 m
Med Horiz Disp73.1 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 228.8 × 0.319 (σ=2) = 73.1 m
Med Vert Disp43.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 137.3 × 0.32 (σ=2) = 43.9 m
AP Pen Close631.7 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 × 2450 × 415^0.69 × 0.305^-1.07 × 865^1.38 = 631.7 mm. Matches the in-game spec card.
AP Pen Far290.8 mm
Same formula at the ship's max firing range (21.1 km), where the shell has slowed to 493 m/s: 1e-7 × 2450 × 415^0.69 × 0.305^-1.07 × 493^1.38 = 290.8 mm.
HE penetration76 mm
76 mm ≈ 305 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 ~76mm armor instead of ~50mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius90
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 time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha32,400
3,600 HE damage x 9 broadside guns = 32,400.
AP full-salvo alpha84,600
9,400 AP damage x 9 broadside guns = 84,600.
Base HE DPM97,200
32,400 HE full-salvo alpha x 60 / 20 s base reload = 97,200.
Base AP DPM253,800
84,600 AP full-salvo alpha x 60 / 20 s base reload = 253,800.
Installed HE DPM108,000
32,400 HE full-salvo alpha x 60 / 18 s installed reload (Main Battery Mod. 3 = -10%) = 108,000.
Installed AP DPM282,000
84,600 AP full-salvo alpha x 60 / 18 s installed reload (Main Battery Mod. 3 = -10%) = 282,000.
Base shells/min27
9 broadside guns x 60 / 20 s base reload = 27.
Installed shells/min30
9 broadside guns x 60 / 18 s installed Artillery reload = 30.
Base fires/min7.29
9 HE shells x 60 / 20 s reload x 27% fire chance = 7.29.
Installed fires/min8.1
9 HE shells x 60 / 18 s installed reload x 27% fire chance = 8.1.
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 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 DPS383
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (93×3.5×0.75) + (30×3.5×0.7) + (25×3.5×0.75) = 383. 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 range5.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1709
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)190,800
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: 6×2 128 mm (6/side) × 60/3.6 × 1500 = 150,000 + 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
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster
Sonar
