Uma Musume Pull Calculator

Plan your gacha pulls, estimate your jewel income, and know your exact chances to spark your favorite horse girl!

Enter your details to see the forecast!

What is an Uma Musume Pull Calculator?

An Uma Musume Pull Calculator is a specialized tool for players of the popular game, “Uma Musume: Pretty Derby”. This calculator helps you manage your in-game currency (jewels) to strategically plan for “pulling” new characters (Uma Musume) and support cards from the game’s gacha system. Gacha games rely on a degree of chance, and this tool removes the guesswork, allowing you to make informed decisions.

Whether you’re a free-to-play (F2P) player or a light spender, a pull calculator is essential for achieving your goals, such as saving enough jewels for a “spark.” A spark is a pity system in Uma Musume that guarantees you can choose a rate-up character or card after performing 200 pulls on a single banner.

Uma Musume Pull Calculator Formula and Explanation

The calculator uses two primary formulas: one for resource planning and one for probability.

1. Savings Formula (Time to Spark)

This formula determines how long it will take to reach your jewel target:

Days to Target = (Total Jewels Needed - Current Jewels) / (Monthly Jewels / 30)

It calculates the jewel shortfall and divides it by your average daily jewel income to estimate the number of days you need to save. This helps you know if you’ll be ready for an upcoming banner.

2. Probability Formula (Chance of Success)

This formula calculates the likelihood of pulling a specific rate-up unit before you hit the 200-pull spark:

P(at least one success) = 1 - (1 - Rate)^Pulls

This is a standard binomial probability calculation. For each pull, you have a certain chance of NOT getting your target (1 – Rate). By raising this failure chance to the power of the number of pulls, we find the probability of failing every single time. Subtracting that from 1 gives us the probability of succeeding at least once.

Formula Variables

Variable	Meaning	Unit	Typical Range
Total Jewels Needed	The total cost in jewels for the target number of pulls.	Jewels	30,000 (for 200 pulls)
Current Jewels	The amount of jewels you currently possess.	Jewels	0 – 100,000+
Monthly Jewels	Estimated jewels earned in 30 days.	Jewels	10,000 – 25,000
Rate	The in-game gacha rate for the specific unit you want.	Percentage (%)	0.75% (Rate-up 3-Star Uma)
Pulls	The total number of pulls you plan to make.	Pulls (Unitless)	1 – 200

Practical Examples

Example 1: Saving for a Spark

• Inputs: Target Pulls = 200, Current Jewels = 10,000, Monthly Jewels = 18,000
• Calculation:
  • Total Jewels Needed: 200 pulls * 150 jewels/pull = 30,000 jewels.
  • Jewel Shortfall: 30,000 – 10,000 = 20,000 jewels.
  • Daily Jewel Income: 18,000 / 30 = 600 jewels/day.
  • Days to Save: 20,000 / 600 ≈ 34 days.
• Result: You will need to save for approximately 34 more days to have enough jewels to spark.

Example 2: Checking Probability

• Inputs: Target Pulls = 100, SSR Rate = 0.75%
• Calculation:
  • Failure Rate per Pull: 1 – 0.0075 = 0.9925.
  • Probability of Failing 100 Times: 0.9925 ^ 100 ≈ 0.4713.
  • Probability of Success: 1 – 0.4713 = 0.5287 or 52.87%.
• Result: With 100 pulls, you have about a 52.87% chance of getting the rate-up character without needing to spark. For more on probability, check out our guide on gacha probability explained.

How to Use This Uma Musume Pull Calculator

1. Set Target Pulls: Enter the total number of gacha pulls you want to perform. The default is 200, the amount needed to “spark” a character.
2. Enter Current Jewels: Input the amount of jewels you have right now.
3. Estimate Monthly Income: Input your estimated jewels per month. A typical active player earns between 15,000 and 20,000 jewels.
4. Set SSR Rate: Enter the gacha rate for the character or support card you want. A rate-up 3-star character is usually 0.75%.
5. Review Results: The calculator will instantly show you the total jewels required, your surplus or shortfall, how long you need to save, and your probability of success.
6. Interpret the Chart: The bar chart provides a quick visual of your progress towards your goal.

Key Factors That Affect Jewel Income

• Daily & Weekly Missions: Consistent completion is your biggest source of steady jewel income.
• Login Bonuses: Don’t miss a day! Special campaigns often have very generous login bonuses.
• Event Rewards: Story events and “Champions Meetings” provide large, one-time sums of jewels. Participate in all of them.
• Story Chapters: Reading main story, Uma Musume stories, and extra stories rewards you with jewels.
• Trophy Collection: Earning new trophies for the first time in training runs provides a one-time jewel reward.
• Circle Rewards: Joining an active circle allows you to request items and earn rewards, which indirectly helps your progress.

FAQ

How many jewels does it cost to spark in Uma Musume?

It costs 30,000 jewels to perform the 200 pulls required to spark. This is calculated as 200 pulls * 150 jewels per pull.

Is it better to do single pulls or 10-pulls?

For the purpose of reaching the 200-pull spark, there is no difference. A 10-pull costs 1,500 jewels, the same as 10 single pulls. A 10-pull guarantees at least one SR or higher, but this does not affect your overall SSR probability significantly.

Does pity carry over between banners?

No. In Uma Musume, your pull count for the spark system resets with every new banner. You must do 200 pulls on a single banner to spark.

What is a realistic monthly jewel income for a F2P player?

An active F2P player can expect to earn around 15,000 to 20,000 jewels per month by completing all dailies, weeklies, events, and other activities. This can fluctuate based on special campaigns.

What’s the difference between Character and Support Card gacha?

They are separate banners with separate spark counters. You cannot use pulls from a character banner to spark on a support card banner, or vice versa.

Is this calculator for the Japan (JP) or Global server?

This calculator works for any server, as the core mechanics (150 jewels per pull, 200 pulls to spark) are the same. Just ensure your jewel income estimate is accurate for your server’s event schedule.

Should I pull on every banner?

No. As a strategic player, it’s best to save for a full spark (30,000 jewels) and target specific, powerful units that will benefit your account long-term. See our Support Card Tier List for guidance.

What’s the difference between free jewels and paid jewels?

Free jewels are earned in-game, while paid jewels are bought with real money. Paid jewels sometimes offer special deals, like a discounted daily single pull. This calculator focuses on the free jewel economy.