HSR Summon Calculator
Plan your Honkai: Star Rail warps, Stellar Jades, and pity probability.
20
90
180
25,600
0.60%
Cumulative Success Probability Chart
Probability of obtaining a 5-star character as you pull (includes soft pity mechanics).
The blue line shows the cumulative probability increase. The green dashed line indicates your current pity position.
| Milestone | Total Warps Required | Equivalent Stellar Jades | Success Probability |
|---|
What is the HSR Summon Calculator?
The hsr summon calculator is a specialized utility designed for players of Honkai: Star Rail to meticulously plan their warp strategy. Since the game utilizes a “gacha” mechanic for character and light cone acquisition, understanding the mathematical probability and the pity system is crucial for resource management. By using an hsr summon calculator, Trailblazers can determine exactly how many Stellar Jades they need to save for upcoming banners like Archeron, Firefly, or future limited releases.
Who should use it? Any player—from F2P (Free to Play) to whales—who wants to avoid the heartbreak of running out of currency just before hitting hard pity. A common misconception is that the 0.6% base rate means you are unlikely to get a character until 90 pulls; however, the “soft pity” system significantly increases your odds between pulls 75 and 80, which this hsr summon calculator accounts for.
HSR Summon Calculator Formula and Mathematical Explanation
The math behind an hsr summon calculator involves two distinct phases: linear probability and the soft pity ramp-up. The base probability ($P$) for a 5-star character is 0.006 (0.6%). At pull 74, this rate increases by approximately 6% per pull until it reaches 100% at pull 90.
To calculate the total resource value, the hsr summon calculator uses the formula:
Total Warps = (Stellar Jades / 160) + Special Passes
Variables Explanation Table
| Variable | Meaning | Unit | Typical Range |
|---|---|---|---|
| Stellar Jades | Primary premium currency | Amount | 0 – 45,000+ |
| Warp Rate | Cost per single pull | Jades | Fixed 160 |
| Pity Count | Pulls since last 5-star | Pulls | 0 – 89 |
| 50/50 Status | Guarantee flag | Binary | Yes / No |
Practical Examples (Real-World Use Cases)
Example 1: Saving for a Guaranteed Banner
A player has 16,000 Stellar Jades and 5 Special Passes. They are currently at 20 pity and lost their last 50/50 (making their next 5-star guaranteed). The hsr summon calculator logic:
– Pulls from Jades: 16,000 / 160 = 100
– Total pulls: 100 + 5 = 105
– Pulls needed for hard pity: 90 – 20 = 70
– Result: They have enough for one guaranteed character with 35 pulls left over.
Example 2: The 50/50 Gamble
A player has 8,000 Stellar Jades, 0 passes, and is at 0 pity. They are on a 50/50.
– Total pulls: 50
– Probability of hitting a 5-star in 50 pulls: ~26%
– Result: The hsr summon calculator warns that they only have a 13% chance (50% of 26%) to get the featured character.
How to Use This HSR Summon Calculator
Follow these simple steps to maximize your pulling efficiency:
- Enter Currencies: Input your current Stellar Jades and Special Passes. The hsr summon calculator will instantly convert these to a total warp count.
- Set Pity: Check your in-game history to find your current pity count.
- Toggle 50/50: Select whether your next 5-star is guaranteed. This doubles the required pulls if you are not guaranteed.
- Analyze the Chart: Look at the cumulative success probability chart to see where your current pulls land on the “luck” spectrum.
- Review the Shortfall: If the hsr summon calculator shows a negative jade shortfall, that is exactly how much you need to farm before the banner ends.
Key Factors That Affect HSR Summon Calculator Results
- Soft Pity Threshold: Statistically, most 5-stars appear between pull 75 and 80. Your hsr summon calculator should always highlight this range.
- The 50/50 Rule: You have a 50% chance to get the featured character. If you lose, the next one is 100% guaranteed. This massively swings the “worst-case” scenario.
- Stellar Jade Income: Daily training, Simulated Universe, and Memory of Chaos provide a steady stream of Jades that the hsr summon calculator helps you allocate.
- Banner Duration: Limited banners last 21 days. Factor in the jades you will earn during the banner, not just what you have now.
- Embers Exchange: Each month, you can buy 5 Special Passes using Undying Embers. Don’t forget to include these in your hsr summon calculator inputs!
- Shop Pity: Using Undying Starlight can grant extra pulls in an emergency, though saving for 5-star Light Cones is often preferred.
Frequently Asked Questions (FAQ)
What is the hard pity in HSR?
Hard pity is at 90 pulls. At this point, the hsr summon calculator guarantees a 5-star character will appear if one hasn’t already.
Does pity carry over between banners?
Yes, pity for limited character banners carries over to the next limited character banner. However, limited character and limited light cone banners have separate pity tracks.
How many Jades is 180 pulls?
180 pulls (the maximum for a guaranteed featured character) equals 28,800 Stellar Jades. Use the hsr summon calculator to see how close you are.
What is soft pity in Honkai: Star Rail?
Soft pity starts at pull 74. The odds of getting a 5-star increase significantly with every pull after 73.
Is it better to do 10-pulls or single pulls?
Mathematically, there is no difference in 5-star rates. However, single pulls can save you a few jades if you hit the 5-star early in a 10-pull sequence.
Does the hsr summon calculator include Light Cones?
Light Cone banners have different pity (80 hard pity) and odds (75/25 instead of 50/50). This specific hsr summon calculator focuses on character banners.
What are the chances of getting a 5-star before 75 pulls?
The cumulative chance is roughly 35.5% by the 73rd pull.
Can I get two 5-stars in one 10-pull?
Yes, though it is extremely rare. The hsr summon calculator calculates the minimum required, but luck can always be on your side!
Related Tools and Internal Resources
- Honkai Star Rail Pity System Guide – Deep dive into how the mechanics work.
- Stellar Jade Farming Guide – Learn how to maximize your jade income for the hsr summon calculator.
- Upcoming HSR Banner Schedule – See who to save for next.
- Star Rail Pull Strategies – Optimize your account progression.
- HSR Farming Guide – Efficiency tips for daily play.
- Stellar Jade Shop Value Analysis – Best ways to spend your premium currency.