Main battery formulas
Shell Grouping (σ)1.6
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp193 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (17260/30·(10−1.6)/1000 + 1.6)·30 = 193 m
Max Vert Disp115.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 193 × 0.6 = 115.8 m
Med Horiz Disp71.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 193 × 0.369 (σ=1.6) = 71.2 m
Med Vert Disp42.7 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 115.8 × 0.369 (σ=1.6) = 42.7 m
AP Pen Close609.5 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 × 2700 × 490^0.69 × 0.356^-1.07 × 815^1.38 = 609.5 mm. Matches the in-game spec card.
AP Pen Far226.5 mm
Same formula at the ship's max firing range (21.6 km), where the shell has slowed to 397.8 m/s: 1e-7 × 2700 × 490^0.69 × 0.356^-1.07 × 397.8^1.38 = 226.5 mm.
HE penetration88 mm
88 mm ≈ 350 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 ~87mm armor instead of ~58mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch24 mm
floor(350 mm caliber / 14.3) = 24 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius120
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 alpha15
All 15 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha60,000
4,000 HE damage x 15 broadside guns = 60,000.
AP full-salvo alpha142,500
9,500 AP damage x 15 broadside guns = 142,500.
Base HE DPM120,000
60,000 HE full-salvo alpha x 60 / 30 s base reload = 120,000.
Base AP DPM285,000
142,500 AP full-salvo alpha x 60 / 30 s base reload = 285,000.
Installed HE DPM133,333
60,000 HE full-salvo alpha x 60 / 27 s installed reload (Main Battery Mod. 3 = -10%) = 133,333.
Installed AP DPM316,667
142,500 AP full-salvo alpha x 60 / 27 s installed reload (Main Battery Mod. 3 = -10%) = 316,667.
Base shells/min30
15 broadside guns x 60 / 30 s base reload = 30.
Installed shells/min33.3
15 broadside guns x 60 / 27 s installed Artillery reload = 33.3.
Base fires/min8.1
15 HE shells x 60 / 30 s reload x 27% fire chance = 8.1.
Installed fires/min9
15 HE shells x 60 / 27 s installed reload x 27% fire chance = 9.
Torpedoes
Torpedo detectability1.7 km
Estimated torpedo reaction time12.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed54 kt
Travel time to max range42.7 s
range / (speed kt x 2.6 community game-speed factor).
Tube count4
4 launchers x 1 tubes.
Per-side salvo2 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage94,400
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage47,200
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS437
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (52×3.5×0.75) + (85×3.5×0.7) + (35×3.5×0.75) = 437. 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 index1308
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)179,364
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 + 8×1 150 mm (4/side) × 60/8.57 × 1800 = 50,408. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 150 mm family.
Max HE fire chance10%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 10% 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
