Board Pity Calculator

The calculator only needs two things, and picking the wrong one for either quietly throws off both numbers it gives back.

• Which system you're tracking — the Character board and Arc Research run on separate counters with separate hard-pity turns (90 vs 80), so a Character-board count typed into the Arc Research field produces a guarantee estimate that's simply wrong.
• Turns since your last S-Class, not your total rolls ever made — every S-Class landing resets this counter back to zero on its own board, so what matters is the streak since the last one, not a lifetime count.
• Optionally, how many Dice (or Tri-Keys, for Arc Research) you're holding or planning to spend — this turns the odds into a rolls-remaining estimate instead of a single-roll percentage.

The Character board runs two overlapping thresholds, and the calculator's job is to tell you which zone your count sits in.

• Before turn 70, every roll carries the same low starting odds for an S-Class landing.
• From turn 70 onward (soft pity), the board's own odds step up sharply for every roll that still doesn't land an S — this is why the calculator's percentage climbs fast once you cross that line instead of moving in small steps.
• At turn 90 (hard pity), the board guarantees an S-Class no matter what — landing one before that resets the counter to zero.
• Arc Research runs a single hard-pity line at turn 80 instead of two thresholds, and its base odds already start higher than the Character board's — so its ramp to guarantee is more front-loaded.

Two facts the calculator assumes, and both are worth spelling out because habits from other pull-based games get them backwards.

• Landing an S-Class on a limited board is 100% the featured character — there's no coin-flip step afterward, so the calculator's guarantee count is the actual number of rolls to the character you want, not just to any S-Class.
• Pity carries over between every limited Character board released so far — switching to a newer board keeps the same counter instead of restarting it. Arc Research pity works the same way between its own Limited Issues, and additionally accumulates permanently rather than resetting on any schedule.
• One thing pity is not: separate cosmetic-reward milestones some boards hand out around specific roll counts are tracked on their own and don't carry between boards the way pity does — don't confuse the two when reading a board's own reward list.

The zones above describe shape, not size — here are the actual percentages behind them, pulled straight from the game's own drop tables.

• Before turn 70 on the Character board, a single roll's S-Class odds sit at a flat 0.99% Baseline; averaged across a full cycle including every pity step, the blended S-Class rate works out to roughly 1.87% per roll.
• From turn 70 onward, the board's Modified state pushes that same per-roll odds up to roughly 19.59% — a jump of nearly 20x over Baseline, which is why a streak that crosses turn 70 tends to resolve fast.
• Arc Research runs its own separate curve: a flat 3.00% base S-Arc rate pre-pity, blending to about 4.19% once pity is folded in, with its hard guarantee sitting at turn 80 rather than 90.
• Mid-tier rolls aren't wasted turns either — the Character board's A-Class rate runs 22.98% per roll (roughly 11.67% toward a character-flavored reward, 11.31% toward an Arc-flavored one), while Arc Research's own A-tier sits at 7% base / around 13.47% blended, with B-tier filling most of the remainder on both systems.

None of these numbers move depending on which specific board or Limited Issue is currently live — they're systemic constants, not per-banner values.

Two short walkthroughs, using the same fields the calculator itself asks for.

• Character board: say your count reads 55 turns since your last S-Class. That's 15 rolls short of the turn-70 soft-pity line, and 35 short of the turn-90 hard guarantee. Rolls 56 through 70 still spend at the 0.99% Baseline rate; every roll from 71 onward switches to the roughly 19.59% Modified rate instead — so most of your realistic chance of an early landing sits inside that 71-90 window, not the stretch right before it.
• Arc Research: there's only one threshold to track. A count of 45 turns since your last Arc-S means 35 rolls stand between you and the guaranteed pull at turn 80 — and unlike the Character board, every one of those remaining rolls already carries the higher blended rate near 4.19%, since Arc Research doesn't have a separate soft-pity step that changes the per-roll odds partway through.
• Because an S-Class landing on a limited board or Limited Issue is always the featured pick (no coin-flip afterward), these rolls-remaining numbers are the actual number of rolls to the unit or weapon you want — not just to any S-Class of that rarity.

Plugging real numbers in before spending Dice or Tri-Keys turns a vague streak into a concrete decision: keep rolling, or bank currency for a board you'd rather guarantee on.