Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp227.8 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{16785}{30}\cdot\dfrac{12-2}{1000} + 2\right)\cdot 30 = 227.8\,\text{m}$
Max Vert Disp136.7 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 227.8 \cdot 0.6 = 136.7\,\text{m}$
Med Horiz Disp72.8 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 227.8 \cdot 0.32\;(\sigma = 2) = 72.8\,\text{m}$
Med Vert Disp43.7 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 136.7 \cdot 0.32\;(\sigma = 2) = 43.7\,\text{m}$
AP Pen Close880.9 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2634 \cdot 884.8^{0.69} \cdot 0.381^{-1.07} \cdot 850^{1.38} = 880.9\,\text{mm}$. Matches the in-game spec card.
AP Pen Far480.2 mm
Same formula at the ship's max firing range (21 km), where the shell has slowed to 547.6 m/s: $P = 10^{-7}\cdot 2634 \cdot 884.8^{0.69} \cdot 0.381^{-1.07} \cdot 547.6^{1.38} = 480.2\,\text{mm}$.
HE penetration64 mm
64 mm ≈ 381 mm caliber / 6 (standard HE penetration ratio).
AP overmatch26 mm
floor(381 mm caliber / 14.3) = 26 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius240
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 alpha45,900
5,100 HE damage x 9 broadside guns = 45,900.
AP full-salvo alpha81,000
9,000 AP damage x 9 broadside guns = 81,000.
Base HE DPM74,432
45,900 HE full-salvo alpha x 60 / 37 s base reload = 74,432.
Base AP DPM131,351
81,000 AP full-salvo alpha x 60 / 37 s base reload = 131,351.
Installed HE DPM82,703
45,900 HE full-salvo alpha x 60 / 33.3 s installed reload (Main Battery Mod. 3 = -10%) = 82,703.
Installed AP DPM145,946
81,000 AP full-salvo alpha x 60 / 33.3 s installed reload (Main Battery Mod. 3 = -10%) = 145,946.
Base shells/min14.6
9 broadside guns x 60 / 37 s base reload = 14.6.
Installed shells/min16.2
9 broadside guns x 60 / 33.3 s installed Artillery reload = 16.2.
Base fires/min3.5
9 HE shells x 60 / 37 s reload x 24% fire chance = 3.5.
Installed fires/min3.89
9 HE shells x 60 / 33.3 s installed reload x 24% fire chance = 3.89.
Ready-rack burst alpha162,000
2 shells in rack x 9 broadside guns x 9,000 AP damage. Total damage the ship can deliver off the rack before reverting to base reload.
Burst window3 s
(2 shells - 1) x 3 s rack reload. Wall-clock duration from the first rack salvo to the last; the next salvo after that uses the base reload.
Secondary battery firepower
Secondary DPM (per side)180,000
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: 2×3 152 mm (3/side) × 60/12 × 2100 = 31,500 + 2×3 152 mm (3/side) × 60/12 × 2100 = 31,500 + 12×1 90 mm (6/side) × 60/4 × 1300 = 117,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2100
Maximum HE damage per shell across secondary HE families. Best on this ship: 2100 from the 152 mm family.
Max HE fire chance7%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 7% from the 152 mm family.
Max HE pen25 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: 25 mm from the 152 mm family.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster
Main Battery Reload Booster