Genshin / Honkai Pity Calculator

Genshin & Honkai: Star Rail Pity Math, Explained the Way No Wiki Does It

Most pity guides stop at the same three facts: soft pity starts around pull 74, hard pity locks in at 90, and a 50/50 loss guarantees your next 5-star. That's true, but it's also only half the story — the half that tells you how the system works, not what it will actually cost you to get the roster you want. This page pairs the calculator above with a full breakdown of the pity system, the newer Capturing Radiance mechanic, multi-copy (constellation and eidolon) budgeting, and the real USD math behind every banner decision, built specifically around the numbers American players ask us about most: primogem-to-dollar conversion, sales tax on top-ups, and the true cost of building a character past C0 or E0.

If you landed here wanting a step-by-step walkthrough of every field in the calculator instead — banner type, current pity, guarantee status, fate points — we've written a separate, dedicated walkthrough: How to Use the Genshin & Honkai Pity Calculator. This article focuses on the mechanics and the money.

Pity 101: Two Numbers That Matter More Than Your Luck

Every wish you make on a character or Light Cone banner rolls against a hidden probability table. At the very start of that table, your odds of pulling a 5-star sit at a flat 0.6% per pull — low enough that most players go dozens of pulls without seeing one. That flat rate doesn't last. Somewhere around pull 73 or 74, the game quietly switches to a ramping curve, boosting your odds by several percentage points with every additional pull you make. By the time you're sitting at pull 85 or so, a 5-star is nearly a coin flip on every attempt. This ramping window is what the community calls "soft pity," and it's the reason most 5-stars actually land between pulls 74 and 84 rather than exactly at 90.

The number everyone budgets around, though, is hard pity — the guaranteed ceiling. Character and Light Cone banners cap out at 90 pulls; you will never go further than that without a 5-star. Genshin's Weapon banner and HSR's Light Cone banner are the exception, capping at 80. Our calculator always plans for this ceiling, not the average, because a budgeting tool that only tells you the "likely" cost isn't actually protecting your wallet — it's the worst case that determines whether you can safely start pulling at all.

Does Pity Reset Between Banners?

This is one of the more common points of confusion, and it matters for budgeting: your pity count does not reset when a banner rotates. If you finish one limited character banner sitting at 61 pity with no 5-star, that 61 carries straight into the next character banner. Weapon pity and character pity are tracked completely separately from each other, and — critically — neither one is shared with the Standard Wish banner. Pulls spent on the permanent Standard banner do not move your Limited banner pity forward at all, which is a mistake newer players make when they're trying to stretch their Primogems.

The 50/50, the Guarantee, and Why "Two Cycles" Is the Real Worst Case

Pulling a 5-star only solves half the equation. On a limited character banner, that 5-star has a 50% chance of being the character advertised on the banner, and a 50% chance of being a random unit from the permanent standard pool. Lose that coin flip and the game compensates you with a guarantee: your very next 5-star pull, whenever it happens, is locked to the featured character. This is why the calculator's worst-case number for an un-guaranteed pull is double a single pity cycle — 180 pulls, not 90 — because in the true worst case you burn a full 90-pull cycle losing the coin flip, then a second full cycle collecting your guaranteed unit.

Honkai: Star Rail runs an almost identical system for its Character Event Warp, with the same 90-pull ceiling and 50/50 structure. The one meaningful difference lives on the Light Cone side: instead of an Epitomized Path, HSR's Light Cone banner uses a 75/25 split with an 80-pull ceiling, and losing that roll simply guarantees the featured Light Cone on your next 5-star — no path selection required.

Capturing Radiance: The Mechanic Most Calculators Still Get Wrong

Capturing Radiance was added to Genshin's Character Event Wish system to soften the sting of repeated 50/50 losses. Here's how it actually behaves, stripped of the marketing language: losing a 50/50 doesn't just hand you a guarantee for next time — it also quietly raises the odds that your very next 50/50-eligible pull "converts" into an automatic win of the featured character, before you've even used your guarantee. Lose several 50/50s in a row across different banners, and this conversion becomes close to certain.

What Capturing Radiance does not do is touch your pity counter or override the base 90-pull ceiling. It's a probability adjustment layered on top of the existing system, not a replacement for it — which is exactly why our calculator treats it as a bonus rather than baking it into the guaranteed pull count. A tool that assumes Capturing Radiance will save you is a tool that can leave you short on Primogems the one time it doesn't trigger. Budget for the true ceiling; let Capturing Radiance be the pleasant surprise that gets you there early.

Beyond C0: What a Fully Built Character Actually Costs

Almost every pity guide on the internet stops the moment you've secured a single copy (C0 in Genshin, E0 in HSR). That's a fraction of the picture for players chasing constellations or eidolons, and it's an area where the math changes dramatically because every additional copy resets your pity and your 50/50 status independently.

A useful way to frame it: your first copy of a featured 5-star has a realistic worst-case cost of 180 pulls if you're not already guaranteed. Every additional copy after that carries the same up-to-90-pull risk on its own, since pity resets to zero the moment any 5-star drops — featured or not. Chase all the way to C6 (seven total copies) and, across enough attempts, the realistic average lands well north of 600 pulls, with unlucky runs pushing past 700. In Primogem terms that's over 100,000 gems for a single character maxed out, which is precisely why most players — even dedicated ones — stop at C0 or C1 and reserve constellation chasing for characters they use every single day.

If constellation or eidolon chasing is part of your plan, run the calculator once per copy rather than once for the whole project. Treat each copy as its own worst-case cycle, add the results together, and you'll get a far more honest budget than any single "C6 cost" number floating around online — because your actual luck, not a community average, is what determines your real spend.

Goal	Realistic Worst Case (Pulls)	Primogems / Jades
C0 / E0 (already guaranteed)	90	14,400
C0 / E0 (on 50/50)	180	28,800
C1–C3 / E1–E3 (three extra copies, worst case each)	+270	+43,200
C6 / E6 (seven total copies, realistic average)	~650–700	~104,000–112,000

Turning Pulls Into Dollars: The Part Most Tools Skip Entirely

A pull count is only useful once you know what it costs to buy. In the US storefronts for both games, premium currency is sold in bundles rather than a clean per-pull price, and the bundles are deliberately structured to make bulk purchases look more efficient than they are. At the standard recurring rate — not the one-time first-purchase bonus — a $99.99 bundle nets you roughly 6,480 crystals or jades, which works out to about $2.43 per pull once you account for the 160-currency cost of a single wish.

Compare that to the monthly subscription option — Blessing of the Welkin Moon in Genshin, Express Supply Pass in HSR — and the math flips dramatically. A $4.99 monthly subscription delivers roughly 3,000 currency across 30 days once you include the instant bonus, which brings the effective cost down to around $0.26 per pull. That's close to a 90% discount compared to direct top-ups, with one catch: you have to log in daily to actually claim the drip-fed portion, or you lose it.

There's a cost most calculators ignore entirely: state sales tax. Digital purchases through the Apple App Store, Google Play, or most PC storefronts are taxed like any other transaction in states that charge sales tax on digital goods. A $100 top-up in a state with an 8% digital goods tax becomes $108 before you've spent a single Primogem on pulls. Over a year of moderate spending, that adds up to real money that never shows up in any "cost per pull" chart — which is exactly why our calculator's USD output is meant as a pre-tax baseline you should adjust upward based on your own state.

A Smarter Way to Decide Whether to Spend

The single most expensive habit in gacha spending isn't the initial purchase — it's the sunk cost spiral. A player sitting at 78 pity who has already spent $80 chasing a character is statistically primed to keep swiping, because stopping "feels like wasting the progress." That instinct is exactly what direct top-up pricing is built to profit from. The fix is boring but effective: decide your maximum budget before you see a single pull result, using the worst-case number, not the number you're hoping for.

A practical framework we'd suggest: run the calculator for your target the moment a banner is announced, not after you've already started pulling. If the worst-case USD cost is more than you're willing to spend even in the unlucky scenario, either skip the banner, commit to Welkin/Express Supply Pass saving in advance, or lower your target from a fully-built copy to a single C0/E0 pull. Deciding this before soft pity starts ramping your odds — and your excitement — removes the moment where most overspending actually happens.

Frequently Asked Questions

Does losing a 50/50 carry a penalty beyond the guarantee?

No. Losing a 50/50 costs you nothing extra beyond the pulls already spent — you keep the standard-pool character you received, and your account is credited with a guarantee for the next 5-star on that banner type. There's no stacking penalty for losing multiple times in a row, aside from Capturing Radiance eventually working in your favor.

Do free Primogems from events count toward pity the same as paid ones?

Yes. Pity is tracked per pull, not per currency source. A wish paid for with earned Primogems from commissions, events, or the Battle Pass behaves identically to one bought with real money — the odds and the pity counter don't know the difference.

Is it worth saving for C1 instead of a second character's C0?

This is a preference question more than a math one, but the pity math slightly favors spreading pulls across characters if your roster has gaps: a first copy always maxes out at 90 pulls once guaranteed, while a second copy of a character you already own carries the same up-to-90-pull risk for a smaller gameplay gain in most team comps.

Does the Weapon banner's Epitomized Path ever expire?

Your Fate Points and your currently selected path persist across that specific weapon banner's duration and typically carry into its direct reruns, but switching your selected weapon resets your Fate Point progress toward that new choice. Always confirm your selection before pulling if you're several points in.

Why does the calculator show a lower "average" feel than the true worst case?

Because soft pity is aggressive. Most 5-stars land in the mid-70s to low-80s rather than at the hard cap, so real-world spending usually beats the worst-case number shown here. The calculator intentionally shows the ceiling, not the average, so you're never caught short if luck doesn't cooperate.

Bottom Line

Pity systems are solvable math wrapped in a slot-machine presentation. Knowing the two hard numbers — 90 and 80 — plus your current guarantee status turns a purely emotional decision into a budgeted one. Run your target through the calculator above before you pull, factor in your state's tax rate, and decide in advance whether Welkin Moon savings or a direct top-up makes sense for your timeline. For a full field-by-field walkthrough of the calculator itself, see our companion guide: How to Use the Genshin & Honkai Pity Calculator.

Disclaimer: Toolriz.com is not affiliated with HoYoverse, miHoYo, or any of its subsidiaries. Pity mechanics, drop rates, and pricing are based on current publicly available game data and are subject to change by the developer at any time. Gacha games involve real-money spending on randomized outcomes; please spend responsibly.