Burn

No relic ties Burn to Stall. The three that tie it to Rush are Burn Catalyst, 50% more Burn damage on enemies for Rush (15), Fire Starter, 3 Burn on all enemies each second for Rush (10), and Immolation Accelerator, 20 Burn on every enemy per Rush trigger, while the Poison and Frost relics that name a clock all use Stall. Ming follows suit, with Inner Flame doubling its output for Rush (7) and Searing Mantra, the active from The Searing, scaling on every Rush of the game.

Inside the family, Burn Amplifier adds 33% to each Burn a hero inflicts, and Burn Conduit turns every 4 Burn into a point each of Magic and Attack once 500 have been inflicted, a quest 0.5.5 cut from 600. Burn Ascendancy waits for an enemy to reach 100 Burn, then puts 75 on its nearest ally, and Burn Migrator passes a dying enemy's Burn along. Sword of Combustion neither applies nor removes Burn: each auto attack deals bonus damage equal to the stack already on the target, so it needs a steady source such as Duelist's Flame Banner, 3 Burn per Duelist auto attack.

Debuff Mages puts its Burn on Funke, and three of its nine relics run on the Rush clock: Burn Catalyst, Plague Amplifier and Acceleration Filigree. The Burn payoff is Burning Spiral Engine, which turns a death into splash damage. An enemy that dies carrying 100 Burn or more damages every enemy in a large area around it for half of its own Max HP, so the payout grows with the victim rather than with the stack.

The Fire Dragon and the Demon both put Burn on heroes. Before 0.5.7 those ticks never registered as damage taken, which left three health triggers idle against them: Yuuna's The Shadow, Vanguard's Frenzy Prism and Assassin's Emblem.