Main battery formulas
Shell Grouping (σ)1.85
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp187.1 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{16560}{30}\cdot\dfrac{10-1.6}{1000} + 1.6\right)\cdot 30 = 187.1\,\text{m}$
Max Vert Disp112.3 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 187.1 \cdot 0.6 = 112.3\,\text{m}$
Med Horiz Disp63.2 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 187.1 \cdot 0.338\;(\sigma = 1.85) = 63.2\,\text{m}$
Med Vert Disp37.9 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 112.3 \cdot 0.337\;(\sigma = 1.85) = 37.9\,\text{m}$
AP Pen Close849.2 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2485 \cdot 1506^{0.69} \cdot 0.457^{-1.07} \cdot 762^{1.38} = 849.2\,\text{mm}$. Matches the in-game spec card.
AP Pen Far521.2 mm
Same formula at the ship's max firing range (20.7 km), where the shell has slowed to 535 m/s: $P = 10^{-7}\cdot 2485 \cdot 1506^{0.69} \cdot 0.457^{-1.07} \cdot 535^{1.38} = 521.2\,\text{mm}$.
HE penetration114 mm
114 mm ≈ 457 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 ~114mm armor instead of ~76mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch31 mm
floor(457 mm caliber / 14.3) = 31 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius400
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 time36 s
180 degrees / 5 deg/s traverse speed = 36 s.
HE full-salvo alpha65,600
8,200 HE damage x 8 broadside guns = 65,600.
AP full-salvo alpha119,200
14,900 AP damage x 8 broadside guns = 119,200.
Base HE DPM151,385
65,600 HE full-salvo alpha x 60 / 26 s base reload = 151,385.
Base AP DPM275,077
119,200 AP full-salvo alpha x 60 / 26 s base reload = 275,077.
Installed HE DPM168,205
65,600 HE full-salvo alpha x 60 / 23.4 s installed reload (Main Battery Mod. 3 = -10%) = 168,205.
Installed AP DPM305,641
119,200 AP full-salvo alpha x 60 / 23.4 s installed reload (Main Battery Mod. 3 = -10%) = 305,641.
Base shells/min18.5
8 broadside guns x 60 / 26 s base reload = 18.5.
Installed shells/min20.5
8 broadside guns x 60 / 23.4 s installed Artillery reload = 20.5.
Base fires/min11.63
8 HE shells x 60 / 26 s reload x 63% fire chance = 11.63.
Installed fires/min12.92
8 HE shells x 60 / 23.4 s installed reload x 63% fire chance = 12.92.
Secondary battery firepower
Secondary DPM (per side)136,732
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: 8×2 134 mm (8/side) × 60/6.67 × 1900 = 136,732. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1900
Maximum HE damage per shell across secondary HE families. Best on this ship: 1900 from the 134 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 134 mm family.
Max HE pen22 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: 22 mm from the 134 mm family.
Damage Control Party
Repair Party
Defensive AA Fire
Secondary Battery Booster