Gallows Geometry

How many lashes did a rigger earn for touching a locked brace during a fleet engagement? Celso Valdevez hauled himself onto the foretop platform, his palms stinging from the tarred hemp, already calculating how long four men had before the quarterdeck gun-captains struck the bells. He needed three sets of hands who knew how to slacken a yard-tackle without letting the block squeal, and he needed them before the São Pelagio squared her beam to the burning reef.

Eusébio was huddled beside the mast-coat, clutching the mutton-tallow crock against his ribs. Beside him in the shadow of the foresail sat two veterans of the middle watch: Roque, whose skin had the yellow cast of brine-fever, and Baltasar, a barrel-chested topman with three missing fingers on his left hand. Both had their backs pressed against the pine timber, breath misting in the cold updraft of the void.

"Sergeant drove the third battery into their stations," Roque muttered, not looking up as Celso stepped onto the grating. He ran a horn comb through a length of frayed gasket. "If you came up here looking for honest work, Celso, climb back down. We're sick men until the smoke clears."

"You won't be sick long," Celso said. He dropped onto his haunches, pulling his leather apron tight against the biting draft. "You'll be paste."

Baltasar spat over the rim of the platform. "The boy said you went to see Ramos."

"I saw him."

"And?"

"The binnacle is chained to the deck," Celso said. "Paiva's iron key is in his coat. Ramos has Article Nine memorized down to the syllable, and he promised me thirty strokes at the capstan if I spoke of bearing drift again."

Roque gave a short, raspy chuckle that turned into a wet cough. "Generous. Old Ramos usually bids forty for blasphemy against the compass. You must have caught him after his rum ration."

"Listen to me," Celso said, cutting through the rigger's dry banter. He pulled the notched brass sighting-rig from inside his tunic and laid it flat on a salt-crusted tool locker. "The atoll's core isn't resting on a flat bed. It's dipping toward the trench at three point two degrees. Paiva has thirty-two guns loaded with phlogiston-vitriol charges, run out and pegged at dead level. The fleet's firing line is locked at two hundred and twelve degrees azimuth."

Baltasar leaned forward, his heavy brows knotting. He pointed a scarred thumb at the brass plate. "Two degrees is the limit. Everyone who ever held a rammer knows that. Beyond two degrees, the vitriol field catches the salt-grain and throws the punch backward."

"Three point two," Celso repeated. "The first discharge won't touch the reef. It will snap the trunnion bolts off every carriage on the lower deck, toss six tons of pig iron into the galley, and blow the bottom planks straight into the abyss."

Silence settled over the platform, broken only by the rhythmic creak of the foremast and the deep, hollow roar of the saltwater cataracts miles behind them.

Eusébio looked between the older men, his hands white on the rim of the tallow crock. "We tell the lieutenant. Barreto—"

"Barreto saw the provost hang an ensign three leagues back for dropping a sounding lead," Baltasar said flatly. "Barreto won't sneeze without a signed warrant from the poop deck."

"Then we jump," Eusébio whispered.

"Into ninety fathoms of black brine?" Roque shook his head, his mouth twitching with dark amusement. "I'm fond of salt fish, boy, but I'm not keen on drowning in the dark while the fleet sails over my head. Besides, hanging from a yardarm is at least dry. If the provost puts a noose on me, I'll lend him my own tallow so the slip-knot runs smooth."

Celso tapped the brass plate against the wood. "Nobody is hanging if the ship heels before the gun-captains pull their lanyards."

Roque stopped combing the hemp. His pale eyes flicked to Celso's face. "Say that plain."

"We throw the yards," Celso said.

Baltasar let out a low whistle through his teeth. "You've lost your wits. You want to touch the rigging during the Admiral's run?"

"We loosen the port stays and dog the starboard braces by four inches," Celso said, leaning close so his voice wouldn't carry past the belly of the biotic storm-canvas. "We work from the hounds where the deck watch can't see the purchase. We cast off the port runners, heave the upper starboard braces four inches tight against the hound-cleats, and dog the friction down with the braided steel wire we brought from the ordnance store."

He pointed up into the towering gloom where the manta-hide sail stretched taut against the cross-trees. The silk sash he had lashed to the fractured starboard stay still gleamed dull gold in the lantern light from below.

"The foreyard is already strained," Celso explained, tracing the line of tension with his finger. "If we loosen the port stays and dog those starboard braces by four inches, the wind shear will cant the whole spar. The mast won't break, but the galleon will list on the swell. The battery's barrels will dip toward the water, so when the misaligned charge ignites, the kinetic recoil punches upward through the open hatchways into empty sky instead of driving down through the bottom planks."

"And the recoil?" Baltasar demanded.

"It vents straight out the spar-deck into the dark," Celso answered. "The battery will think a carriage split or the primer flashed loose. Paiva will scream at his ordnance officers, but the bottom timbers stay together, and we stay breathing."

"And if Paiva looks up?" Roque asked softly. "If the master-at-arms sees four topmen hauling on dead lines while the line of battle forms?"

"He's in the waist, shouting at sixteen-year-olds who don't know which end of a rammer holds the sponge," Celso said. "Nobody looks at the foretop unless a block falls on their head. But I can't dog the steel wire and slack the port runner at the same time. I need two men on the outer yardarm, one man on the traveler, and Eusébio feeding tallow into the sheaves so the rope doesn't shriek when we ease it."

Baltasar looked down through the square lubber's hole. Below, on the main deck, lanterns bobbed like fireflies along the gangways. Imperial marines in dark iron breastplates were stationing themselves at the ladders, their matchlocks smoking in the damp air. Twelve hundred men were down there, sweating against the iron cannon carriages, blindly trusting the gilded charts of an admiral who had never reefed a tops'l in his life.

"If the galleon tilts," Baltasar said, his voice dropping to a gravelly murmur, "the squadron behind us loses our wake. The Rainha and the São Marcos are steering by our transom lantern. If we heel out of the channel, they might clip the reef shoal."

"If we don't heel," Celso said, "there won't be a transom lantern left for them to follow."

Roque looked at his cracked knuckles, then at the coiled wire sitting beside Celso's boots. A crooked, joyless grin stretched his thin lips. "Mutiny by four inches of rope. They won't even give us a proper firing squad for that. Just a short drop off the cathead."

"They have to catch us first," Celso said.

Roque reached into his salt-stained belt and pulled his bone-handled fid. He drove the point into the pine deck between Celso's knees. "Give me the grease pot. My hands are too stiff to fight frozen hemp without mutton fat."

Baltasar took a slow breath, his broad shoulders rising and falling against the mast. Without another word, he reached down, gathered the end of the braided steel shroud wire, and tested the lay against his calloused palms.

"Four inches," the veteran muttered. "Not a thumb's width more, Celso. If you tip this pig of a ship too far, we'll slide off the yard and land right in Paiva's soup."

"Four inches," Celso agreed.

From the quarterdeck below, the sharp, brass chime of the first battle bell broke across the galleon, striking three double-strokes into the dark. The drum-roll began immediately after, a steady, rattling thrum that set the rigging shivering from truck to deck.

Celso took his splicing fid from his sheath and stood. "Up the hounds. Quietly, before the second bell."