Riichi Mahjong is renowned for its intricate scoring system, which uses two primary metrics—Han and Fu—to determine the total points awarded for a winni...
Riichi Mahjong is renowned for its intricate scoring system, which uses two primary metrics—Han and Fu—to determine the total points awarded for a winning hand. While most modern digital versions of the game handle these calculations automatically, understanding the underlying math is essential for high-level strategy and making informed tactical decisions during play [1], [2].
Riichi Mahjong scoring is a multi-step process that converts the quality of your hand (Han) and the difficulty of its composition (Fu) into a point value. These values are then adjusted based on whether you are the dealer and whether you won by self-draw (tsumo) or from another player's discard (ron) [1].
To calculate a score, you must first identify all valid "Yaku" (scoring patterns) and count any "Dora" (bonus tiles) to find your total Han. Next, you calculate "Fu" (minipoints) by analyzing the specific tiles and wait patterns used to complete the hand. These two numbers are plugged into a basic point formula, which is then multiplied according to the player's status at the table. For hands with high Han values (5 or more), the Fu calculation is skipped entirely, and the hand enters the "Limit" scoring brackets such as Mangan or Haneman [2].
Han represents the "value" of the hand based on patterns, while Fu represents the "complexity" of the hand's construction. Think of Han as the primary multiplier and Fu as the base value that gets multiplied [1], [4].
Han (飜) is the most significant factor in scoring. Every winning hand must have at least one "Yaku"—a specific pattern or condition—to be valid. Each Yaku has a set Han value, ranging from 1 to the "Yakuman" limit. Additionally, Dora tiles provide extra Han but do not count as Yaku themselves. Every additional Han roughly doubles the score of the hand until it reaches the Mangan cap [1], [5].
Fu (符) refers to minipoints awarded for the specific mechanics of the hand. You earn Fu for having triplets instead of sequences, using terminal or honor tiles, and for specific "wait" patterns (like waiting for a single middle tile). Fu acts as the foundation of the score for smaller hands. While Han provides the exponential growth, Fu provides the granular detail that differentiates a simple hand from a more difficult one [4].
Fu calculation begins with a base of 20 points and increases based on the groups (melds), the pair, the wait type, and how the hand was finished. After all components are summed, the total is rounded up to the nearest ten (e.g., 32 Fu becomes 40 Fu) [4].
| Component | Fu Value | Notes |
|---|---|---|
| Base Points | 20 Fu | Awarded to every winning hand [4] |
| Menzen Ron | 10 Fu | Awarded for winning on a discard with a closed hand [4] |
| Tsumo | 2 Fu | Awarded for winning by self-draw (waived in Pinfu) [4] |
| Simples Triplet (2-8) | 2 (Open) / 4 (Closed) | Triplets of 2 through 8 [4] |
| Terminal/Honor Triplet | 4 (Open) / 8 (Closed) | 1, 9, Winds, or Dragons [4] |
| Simples Quad (Kan) | 8 (Open) / 16 (Closed) | Quads of 2 through 8 [4] |
| Terminal/Honor Quad | 16 (Open) / 32 (Closed) | 1, 9, Winds, or Dragons [4] |
| Valued Pair | 2 Fu | Dragons, Seat Wind, or Round Wind [4] |
| Edge/Middle/Pair Wait | 2 Fu | Penchan, Kanchan, or Tanki waits [4] |
There are two major exceptions to standard Fu counting. First, Chiitoitsu (Seven Pairs) is always fixed at exactly 25 Fu and is never rounded up. Second, Pinfu (All Sequences) is designed to be a low-Fu hand; if won by tsumo, the 2 Fu for self-draw is waived, resulting in a 20 Fu hand [4], [7].
A Yaku is a specific pattern that allows a hand to win. Without at least one Yaku, a player cannot declare a win, even if they have four sets and a pair [5].
In Riichi Mahjong, the dealer (East) both earns more and pays more than the other players. This creates a high-stakes dynamic whenever a player is in the dealer position [1], [2].
When the dealer wins, the point value is 1.5 times higher than a non-dealer win. If the dealer wins by Ron, the discarding player pays the full amount. If the dealer wins by Tsumo, the three non-dealers split the cost equally [2].
When a non-dealer wins by Ron, the discarder pays the full value. However, if a non-dealer wins by Tsumo, the dealer pays half of the total points, while the other two non-dealers each pay a quarter. This is often called "Oyakaburi" (the dealer bearing the burden) [1], [2].
As the Han count increases, the doubling effect of the scoring formula eventually hits a cap. These caps ensure that lucky hands do not completely break the game's economy [2], [3].
| Han Value | Name | Non-Dealer Points | Dealer Points |
|---|---|---|---|
| 3 Han 70+ Fu / 4 Han 40+ Fu / 5 Han | Mangan | 8,000 | 12,000 |
| 6–7 Han | Haneman | 12,000 | 18,000 |
| 8–10 Han | Baiman | 16,000 | 24,000 |
| 11–12 Han | Sanbaiman | 24,000 | 36,000 |
| 13+ Han | Yakuman | 32,000 | 48,000 |
Note: Hands with 13 or more Han are often called "Kazoe-Yakuman" (Counted Yakuman), though some rules may cap these at Sanbaiman values [3], [6].
Below is the factual scoring data for Ron wins. These values are standardized in most competitive Riichi rulesets [2], [7].
| Han/Fu | 20 | 25 | 30 | 40 | 50 | 60 |
|---|---|---|---|---|---|---|
| 1 Han | -- | -- | 1,000 | 1,300 | 1,600 | 2,000 |
| 2 Han | -- | 1,600 | 2,000 | 2,600 | 3,200 | 3,900 |
| 3 Han | -- | 3,200 | 3,900 | 5,200 | 6,400 | 7,700 |
| 4 Han | -- | 6,400 | 7,700 | 8,000 | 8,000 | 8,000 |
| Han/Fu | 20 | 25 | 30 | 40 | 50 | 60 |
|---|---|---|---|---|---|---|
| 1 Han | -- | -- | 1,500 | 2,000 | 2,400 | 2,900 |
| 2 Han | -- | 2,400 | 2,900 | 3,900 | 4,800 | 5,800 |
| 3 Han | -- | 4,800 | 5,800 | 7,700 | 9,600 | 11,600 |
| 4 Han | -- | 9,600 | 11,600 | 12,000 | 12,000 | 12,000 |
Source: Riichi Wiki Scoring Table [2]. Note: Some variations use "Kiriage Mangan," which rounds 7,700 and 11,600 up to 8,000 and 12,000 respectively [3].
Scenario: A non-dealer wins by Ron with a closed hand. Hand Composition:
Calculation: Looking at the Non-Dealer Ron table for 2 Han and 40 Fu, the score is 2,600 points [2].
Scenario: The Dealer (East) wins by Tsumo. Hand Composition:
Calculation: For a Dealer Tsumo at 3 Han 30 Fu, the base points are calculated as 2,000. Each non-dealer player pays 2,000 points, totaling 6,000 points for the dealer [2].
Memorizing the entire table seems daunting, but there are patterns to help. The most important rule is the "Doubling Rule": adding 1 Han is mathematically equivalent to doubling the Fu. For example, a 1 Han 60 Fu hand is worth the same (2,000 points) as a 2 Han 30 Fu hand [1], [2].
Focus on the 30 Fu and 40 Fu columns first, as these account for the vast majority of hands. Once you know that 1 Han 30 Fu is 1,000 points, you can simply double it for 2 Han (2,000) and double again for 3 Han (3,900—rounded from 4,000). This logical progression makes on-the-fly calculation much easier during live games [2].
Riichi Mahjong is renowned for its intricate scoring system, which uses two primary metrics—Han and Fu—to determine the total points awarded for a winni...
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