After the game is finished, the number of points which each of three players other than the winner has is rounded off to the nearest 1,000. The winner's points are the difference between 120,000 (30,000 × 4) and the total of these three players' points. The number of points is divided by 1,000, and 30 is finally subtracted from it. The sum of these final points is always zero. In most cases there are some additional points of awards or penalties related to the players' final place.
Example: The initial points are 25,000 each. A (winner): 43,600, B: 14,500, C: 15,400, D: 26,500, and rounded off to B:15,000, C:15,000, D:27,000. The number of the winner's points is calculated as follows irrespective of initial points: 120,000 − (15,000 + 15,000 + 27,000) = 63,000 (There sometimes happens the case like this. The result of the winner differs from 64,000 that was counted rounding 43,600 off and adding 4 × 5,000 (difference between 30,000 and initial points)). The final points and place: A:+33 (1st), D:−3 (2nd), C:−15 (3rd), B:−15 (4th). The 1st place is also counted like: (30 − 15) + (30 − 15) + (30 − 27) = +33.
The total number of han (飜) of all the kinds of yaku (役; winning hand) in the hand is summed up. If a hand has five han or more, it is always counted by mangan (満貫) as a unit and it is not necessary to calculate fu (符) or basic points any more.
If there are more than one way to arrange the winning hand, count the way in which the han is higher. For example, a hand could be either ryanpeikou (二盃口) or chītoitsu (七対子), but since ryanpeikou is three han where chītoitsu is two han, ryanpeikou should prevail.
[Three han with 70 fu or more] and [four han with 40 fu or more] yield more than mangan and there is no need to calculate basic points.
(open same three tiles meld)
|2 fu for non-terminal or honor tiles, four fu for terminal or honor tiles|
(concealed same three tiles meld)
|4 fu for non-terminal or honor tiles, eight fu for terminal or honor tiles|
|8 fu for non-terminal or honor tiles, 16 fu for terminal or honor tiles|
|16 fu for non-terminal or honor tiles, 32 fu for terminal or honor tiles|
(two pieces meld, or eyes)
|2 fu for player's wind tiles, prevailing wind tiles or dragon tiles. Four fu when player's and prevailing wind match. 0 fu for other tiles|
(sequential tile waits for both sides)
(sequential single tile waits for a middle tile)
|two fu (waiting for one kind of tile)|
(sequential single tile waits for a right or left side (number 3 or 7))
(single tile waits for two pieces meld)
(waits for either of melds of same three tiles)
However, a meld of same three tiles would be made after winning, so two, four, or eight fu is added
The basic point of a hand is calculated as follows:
The actual point given has to be rounded up to the nearest 100.
It is noted that even the number of han and fu is the same, the points received by self-drawn often slightly deviate from those received by discard because of rounding.
Example 1: The player on the right of the dealer goes out by self-drawn. (The dealer's wind is always East in Japanese rules.) He got an an-kōtsu of Souths, and his hand is concealed. He also uses two Whites as the toitsu and the winning tile is that White. The winning hands are menzenchin-tsumo-hō (門前清自摸和) and yakuhai (役牌), and they yield a total of two han. The sum of fu is 20 (fūtei) + 8 (South an-kōtsu) + 2 (White toitsu) + 2 (tanki-machi) + 2 (tsumo) = 34 fu, rounded up to 40 fu.
The basic point is thus 40 × 2(2+2) = 640. The dealer pays him 640 × 2 = 1,280, rounded up to 1,300 points. The other 2 non-dealers pay him 640, rounded up to 700 points.
Example 2: The same player goes out by the same hand, except this time the winning tile was a discard by the player on his right. There is only one han of yakuhai, since it is not a tsumo at all. The number of fu is 20 (fūtei) + 10 (menzen-kafu) + 8 (South an-kōtsu) + 2 (White toitsu) + 2 (tanki-machi) = 42 fu, rounded up to 50 fu.
The basic point is thus 50 × 2(2+1) = 400. The discarder pays him 400 × 4 = 1,600 points. The other two players pay him nothing.
Since the method of calculating a winning hand's score in mahjong is quite tedious, many players refer to a scoring table to look up the final score of a hand. Expert and professional players have this table memorized and can thus tell the value of a hand at a glance.
|7700 (2600)||3900 (1300)||2000 (700)||N/A||20||20||N/A||1300 (400/700)||2600 (700/1300)||5200 (1300/2600)|
|11 600 (3900)||5800 (2000)||2900 (1000)||1500 (500)||30||30||1000 (300/500)||2000 (500/1000)||3900 (1000/2000)||7700 (2000/3900)|
|Mangan||7700 (2600)||3900 (1300)||2000 (700)||40||40||1300 (400/700)||2600 (700/1300)||5200 (1300/2600)||Mangan|
|Mangan||9600 (3200)||4800 (1600)||2400 (800)||50||50||1600 (400/800)||3200 (800/1600)||6400 (1600/3200)||Mangan|
|Mangan||11 600 (3900)||5800 (2000)||2900 (1000)||60||60||2000 (500/1000)||3900 (1000/2000)||7700 (2000/3900)||Mangan|
|Mangan||Mangan||6800 (2300)||3400 (1200)||70||70||2300 (600/1200)||4500 (1200/2300)||Mangan||Mangan|
To use the table, simply look up the table that corresponds fu and han counts of the hand. The top numbers in each cell indicate the payout from a player who discards a winning tile. The numbers in brackets indicate the payout for each player in the event the winning tile is self-drawn. If the winner is the dealer, each player pays the same amount. If the winner is a non-dealer, then the other two non-dealers pay the smaller number, while the dealer pays the larger number.
The only 20-point hands are the no-points, or "pinfu" hand where the winning tile is self-drawn. In such cases, the fu-count is exaclty 20; however, since a no-points hand must be closed, making the win via a self pick tile off the wall automatically adds 1 han value to the hand. Therefore, a 20-fu, 1-han hand cannot possibly exist.
|2400 (800)||2||1600 (400/800)|
|4800 (1600)||3||3200 (800/1600)|
|9600 (3200)||4||6400 (1600/3200)|
When it is clear that a hand reaches basic points of more than 2,000, it is limited to full basic points of 2,000 and called mangan (満貫). A hand of five han or more is always counted as multiple of mangan. In those cases there is no need to calculate basic points.
One han cannot reach mangan because 100 fu × 2(2+1) = 800 < 2,000. (It is known that when a hand has 110 fu, it cannot avoid having some yaku of two han.)
Two han cannot reach mangan because 110 fu × 2(2+2) = 1,760 < 2,000. (It is known that when a hand has 120 fu or more, it cannot avoid having some yaku of three han or more.)
A yakuman (役満, or yaku-mangan 役満貫) is awarded to some rare hands which is particularly hard to achieve, like kokushi-musō (国士無双; thirteen terminals) or sū-ankō (四暗刻; four concealed melds of same three tiles). The basic point is 8,000 (4 × mangan). The winning dealer gets 48,000, and a winning non-dealer gets 32,000. If the winning hand can be interpreted as different forms of rare hands, multiple yakuman points are awarded (for example, all hands are concealed, contain only four triplets of direction tiles plus a pair of dragon tiles as eyes).
Honba (本場) is a unit of numbers of continuing kyoku (局; round). To be exact, hon (本) is a unit of numbers of some bars and so on, and ba (場) means a scene or a situation.
A winner of a round gets additional points calculated multiplying 300 by the number of honba.
The dealer offers the same number of bars of 100 points as the number of honba as mere marks (not for payment) on some part of the table (usually the right side of the dealer).
In a state of n honba (suppose n is a number), when a player wins a round by tsumo (self-drawn), he gets additional n × 100 points from each of other three players as a total of n × 300, and when he wins by ron (栄; picking a discard), he gets additional n × 300 from the discarder.
The initial number of honba is zero. The number of honba increases by one when (1) the dealer won a round, (2) a round was a ryūkyoku (流局; draw) or (3) an abortive draw happened in a round. In case of (1) or (3), a round continues. In case of (2), when the dealer cannot declare tenpai (聴牌), a round goes to next. In other cases the number of honba is reset to zero (namely when a non-dealer wins).
There is a possible rule in which players must win by hands with two han or more in a round of five honba or more, which is called ryanhan-shibari (二飜縛り; literally "two-han binding").
There may be some variation of rules.
Example: The round of a game is Eastern 4th round 0 honba (東4局0本場). The dealer (East) wins and the next round is Eastern 4th round 1 honba (東4局1本場). The dealer remains the dealer and puts one bar of 100 points as a mark on the table. In this round the North wins by ron (picking a discard) getting additional 300 points from the discarder. The next round becomes Southern 1st round 0 honba (南1局0本場). The dealer changes and the former dealer takes the bar of 100 points back to himself.
Tenpai (聴牌) means one tile short of winning hands. To be tenpai a hand needs no yaku partly because winning by the last discard is yaku itself. When a hand is not tenpai, the situation is called nō-ten (ノー聴: nō is English "no" and ten for tenpai).
In case a round is a draw, players ended with nō-ten pay points of penalty to other players whose hands are tenpai. The points are called nō-ten bappu (ノー聴罰符; fu of penalty for nō-ten).
When a round ended in a draw, in case the hand(s) of (1) one player is in a state of tenpai, he gets 1,000 points from each of other three players and gets total of 3,000, (2) two players are tenpai, they get 1,500 each and other two players pay 1,500 each, (3) three players are tenpai, they get 1,000 each and the other player pays 3,000, (4) all the players are or are not tenpai, no payment is made.
A player ended with tenpai must show whole his hand when a round is a draw. In some cases a player doesn't always have to declare tenpai and can keep his hand concealed.