Mahjong Hand Calculator
Precise Riichi Mahjong Scoring & Points Analysis
Standard
250
1,000 from Discarder
Formula: Base Points = Fu × 2^(2 + Han). Points are rounded up to the nearest 100.
Points Potential: Dealer vs. Non-Dealer
Comparison of potential points at current Han/Fu levels.
Standard Mahjong Hand Calculator Reference
| Han Count | Classification | Dealer Points (Max) | Non-Dealer Points (Max) |
|---|---|---|---|
| 1-4 Han | Standard | 12,000 | 8,000 |
| 5 Han | Mangan | 12,000 | 8,000 |
| 6-7 Han | Haneman | 18,000 | 12,000 |
| 8-10 Han | Baiman | 24,000 | 16,000 |
| 11-12 Han | Sanbaiman | 36,000 | 24,000 |
| 13+ Han | Yakuman | 48,000 | 32,000 |
*Note: Mangan can also be achieved with 3 Han 70 Fu or 4 Han 40+ Fu.
What is a Mahjong Hand Calculator?
A mahjong hand calculator is an essential tool for players of Japanese Riichi Mahjong, designed to automate the complex mathematical process of determining a hand’s score. Unlike many other variations of the game, Riichi Mahjong uses a two-tiered valuation system involving “Han” (derived from patterns and bonuses) and “Fu” (derived from the hand’s specific tile composition).
Professional players and enthusiasts use a mahjong hand calculator to ensure accuracy during high-stakes games. Beginners benefit significantly from it as well, as it helps them understand the relationship between different winning conditions and the final point payout. Common misconceptions include the idea that points double linearly with every Han; in reality, the scoring caps at certain levels like Mangan or Haneman, preventing exponential growth beyond a specific threshold.
Mahjong Hand Calculator Formula and Mathematical Explanation
The math behind a mahjong hand calculator relies on the concept of “Base Points.” Once the Base Points are calculated, they are multiplied by 4 for a non-dealer or 6 for a dealer, and then rounded up to the nearest hundred.
The core formula for standard hands is:
Variables in Mahjong Scoring
| Variable | Meaning | Typical Range | Impact on Score |
|---|---|---|---|
| Han | Yaku and Dora count | 1 – 13+ | Exponential increase until cap |
| Fu | Mini-points (composition) | 20 – 110 | Linear increase for low Han |
| Dealer Status | Current wind position | Dealer / Non-Dealer | 1.5x multiplier for Dealers |
| Win Type | Method of victory | Ron / Tsumo | Determines who pays points |
Practical Examples (Real-World Use Cases)
Example 1: The Standard Non-Dealer Win
Suppose you are a non-dealer and win by Ron (discard) with a hand valued at 3 Han and 40 Fu. The mahjong hand calculator determines the base points as 40 × 2(2+3) = 40 × 32 = 1,280. For a non-dealer Ron, we multiply base points by 4: 1,280 × 4 = 5,120. Rounded up to the nearest hundred, the final score is 5,200 points.
Example 2: The Dealer Tsumo
A dealer wins by Tsumo (self-draw) with 1 Han and 30 Fu. Base points: 30 × 2(2+1) = 30 × 8 = 240. For a dealer Tsumo, each of the three non-dealers pays 2 × Base Points: 240 × 2 = 480, rounded up to 500 points each. Total points: 1,500.
How to Use This Mahjong Hand Calculator
- Enter Han: Count your total Yaku (Riichi, Tanyao, etc.) and Dora tiles. Enter this total in the Han input.
- Select Fu: Calculate your mini-points based on your melds, pair, and wait. Most hands are 30 or 40 Fu.
- Select Role: Choose whether you are the current dealer (East) or a non-dealer.
- Select Method: Indicate if you won by someone’s discard (Ron) or by drawing the tile yourself (Tsumo).
- Review Results: The mahjong hand calculator will instantly update the total points and show the payment breakdown between players.
Key Factors That Affect Mahjong Hand Calculator Results
- Yaku Complexity: More complex patterns increase Han, which is the fastest way to grow your score.
- Dora Tiles: Each Dora tile adds 1 Han but does not count as a Yaku for winning eligibility.
- Meld Types: Closed triplets (Ankou) provide significantly more Fu than open triplets (Min-ko), influencing the lower-Han scores.
- Wait Style: A “Single” or “Edge” wait provides 2 Fu, whereas a “Two-sided” wait provides 0 Fu, potentially moving you to the next scoring bracket.
- Dealer Advantage: Dealers earn 50% more points, making the mahjong hand calculator results much higher when “Dealer” is selected.
- Mangan Caps: Once you reach 5 Han (or 4 Han 40 Fu in some rules), Fu no longer matters as you’ve reached a “limit hand” (Mangan).
Frequently Asked Questions (FAQ)
The mahjong hand calculator caps at Yakuman (32,000 for non-dealers, 48,000 for dealers). Double Yakuman or higher are possible in some house rules.
This is based on the calculation 30 × 2^6 = 1,920. Multiplied by 4 for a non-dealer, it equals 7,680, which rounds up to 7,700.
No, the minimum Fu for a Ron win is 30, and a Tsumo win with 20 Fu requires at least 2 Han (Pinfu-Tsumo).
Mangan is a scoring threshold (2,000 base points) reached at 5 Han, or 4 Han with 40+ Fu, or 3 Han with 70+ Fu.
Yes, in standard Riichi rules, Chiitoitsu is fixed at 25 Fu and cannot be combined with other Fu bonuses.
All points in the mahjong hand calculator are rounded up to the nearest 100 for each individual player payment.
Points are not calculated by the standard formula. Instead, a fixed “Tenpai” payment of 3,000 points is shared among non-ready players.
Some rules round up 3 Han 70 Fu and 4 Han 40 Fu to a full Mangan (8,000/12,000) instead of 7,700/11,600.
Related Tools and Internal Resources
- 🔗 Riichi Mahjong Strategy Guide – Learn how to build high-Han hands effectively.
- 🔗 Yaku List Reference – A complete guide to all valid patterns in Mahjong.
- 🔗 Dora Indicator Calculator – Calculate how many Dora you actually have.
- 🔗 Mahjong Points Table – A static reference for quick point checks.
- 🔗 Probability of Tenpai Tool – Calculate your odds of reaching a ready hand.
- 🔗 Online Mahjong Scoring Sheet – Track scores across multiple rounds for your group.