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Vorici Chromatic Calculator
Calculate the expected number of Chromatic Orbs needed to achieve your desired socket colors in Path of Exile. Enter your item's stat requirements and desired socket colors — the calculator evaluates every Vorici crafting bench recipe and raw Chromatic Orb rolling to find the most cost-efficient method automatically.
Vorici Chromatic Calculator
Chromatic Orb Cost Estimator — Path of Exile
3–6 sockets
Results
Enter item details and desired colors, then click Calculate Cost
What Is the Vorici Chromatic Calculator?
In Path of Exile, Chromatic Orbs re-roll the colors of sockets on an item. The probability of getting a specific color is weighted by the item's attribute requirements — Strength for Red, Dexterity for Green, and Intelligence for Blue. Off-color sockets (e.g., Blue on a pure Strength item) can require hundreds of Chromatic Orbs when rolling manually.
The Vorici crafting bench provides recipes that guarantee a minimum number of specific-color sockets, letting the remaining sockets roll freely. This can dramatically reduce the expected cost for difficult color combinations. This calculator uses multinomial probability math to compare every available method and surface the cheapest option for your exact scenario.
The core formula used is: P(Success) = Σ [ Multinomial(N, r, g, b) × pR^r × pG^g × pB^b ] summed over all valid outcomes that satisfy your desired minimum colors. Average cost is then 1 / P(Success) × Cost Per Try.
Chromatic Orb Probability Formulas
The calculator uses the following formulas derived from reverse-engineered game data:
Example Calculations
Real-world examples showing how stat requirements and desired colors affect Chromatic Orb costs.
Example 1 — High-STR Item, Off-Colors
6 sockets, 120 STR / 0 DEX / 0 INT, desired: 3R 2G 1B
Base Chances: Red ≈ 70.6%, Green ≈ 14.7%, Blue ≈ 14.7%
Raw Chromatic: ~850 average Chromatic Orbs
Best Bench Recipe: "2 Green Sockets" or "1 Green 1 Blue"
Bench Cost: significantly fewer orbs on average
Recommendation: Use Vorici bench for off-color sockets
Example 2 — Pure INT Item, All Blue
4 sockets, 0 STR / 0 DEX / 80 INT, desired: 4B
Base Chances: Red ≈ 17.8%, Green ≈ 17.8%, Blue ≈ 64.4%
Success Chance per raw roll: ~17.3%
Average Attempts: ~5.8 tries
Average Cost: ~5.8 Chromatic Orbs
Recommendation: Raw Chromatic Orbs are very efficient here
Example 3 — Balanced Reqs, Mixed Colors
6 sockets, 60 STR / 60 DEX / 60 INT, desired: 2R 2G 2B
Base Chances: Red = Green = Blue ≈ 33.3%
Success Chance per raw roll: ~8.2%
Average Attempts: ~12.2 tries
Average Cost: ~12.2 Chromatic Orbs
Recommendation: Raw orbs efficient due to balanced requirements
Key Factors Affecting Chromatic Orb Cost
Understanding these factors will help you minimize Chromatic Orb spending in Path of Exile:
- Stat requirements: The higher a stat requirement, the more likely sockets of that color roll. A 200 STR item has ~80%+ Red socket chance, making Green or Blue very expensive off-colors. Items with 0 in a stat still have a ~17% base chance for that color due to the offset of 32.
- Number of sockets: More sockets mean more free rolls per attempt when using bench recipes. The Vorici 3-socket guarantee bench options (120 chromatics/try) only become worth it when you need a highly specific combination of 4+ desired sockets on a 5-6 socket item.
- Off-color vs. natural colors: Natural colors (matching the primary stat) are cheap to obtain. Off-colors scale exponentially harder. A single off-color on a high-requirement item might cost 10–50+ chromatics on average; two or more off-colors can cost hundreds to thousands.
- Vorici bench recipe selection: Each bench recipe fixes a guaranteed minimum color combination and randomizes the rest. The best recipe is rarely obvious — it depends on how many of each color you need vs. how many sockets are "free" to roll naturally. The calculator evaluates all 13 recipes automatically.
Pro Tip
For items with very low off-color chances, consider using the Crafting Bench to lock 2–3 sockets of the difficult color first, then roll the remainder. This reduces the effective number of "hard" sockets you need to land naturally, and the calculator will surface exactly when this trade-off pays off.
Frequently Asked Questions
- How does the Vorici Chromatic Calculator work?
- The calculator uses multinomial probability to determine the chance of rolling your desired socket color combination. It evaluates every available Vorici crafting bench recipe (from raw Chromatic Orbs to 3-socket guarantees) and finds the option with the lowest expected total Chromatic Orb cost for your specific item and color requirement.
- What determines socket color probabilities?
- Socket color chances are driven by an item's attribute requirements. Red sockets (Strength), Green (Dexterity), and Blue (Intelligence) each receive a base weight proportional to their stat requirement plus an offset of 32. A pure Strength item (e.g., 100 STR, 0 DEX, 0 INT) has a high chance for Red sockets, making Green or Blue "off-color" sockets expensive to obtain.
- When should I use Vorici crafting bench recipes instead of raw Chromatic Orbs?
- Vorici bench recipes lock a guaranteed number of sockets to a specific color, letting the remaining sockets roll freely. This is most effective when you need multiple off-color sockets. For example, needing 2 Blue sockets on a high-Strength item is much cheaper via the "2 Blue Sockets" bench (25 chromatics per try) than raw orbs. The calculator automatically finds the crossover point.
- What do "Average Attempts" and "Average Cost" mean?
- These are expected values from a geometric distribution where each attempt is independent. Average Attempts = 1 / Success Chance. Average Cost = Average Attempts × Chromatic Orbs spent per attempt. For example, a 5% success chance means you need an average of 20 attempts. Standard Deviation measures how much the actual result might vary from this average.
- Why does the success chance differ from what I expected?
- The calculator accounts for all valid combinations, not just exact matches. For a 4-socket item needing 2R-1G-1B, it sums probabilities for all outcomes with at least 2 Red, at least 1 Green, and at least 1 Blue — including combinations like 3R-1G-0B when a Blue is still satisfied. If you're seeing a lower chance, ensure your desired colors don't exceed your total socket count.
- Do Chromatic Orbs prevent repeating the same color combination?
- Yes — in Path of Exile, Chromatic Orbs cannot re-roll the exact same color combination you currently have. This slightly increases the effective success probability for future attempts when you have already failed once. The calculator uses the standard geometric expectation formula, which is a very close approximation for typical use cases.