Lesson 3 · 计算番数

Scoring & Fan

A win is not just a win. Every winning hand is priced by its fan 番 — pattern bonuses that stack on top of each other — and the price decides who pays you what. This lesson walks from a finished hand to the exact number of points that changes hands.

1. From a hand to a number

Three steps, in this order:

  1. Find the shape tier 牌型档 — one single tier per hand, from 平胡 at the bottom to 清龙七对 at the top. The tiers are mutually exclusive: you take the highest one your hand qualifies for, and every tier already includes the base win.
  2. Add the add-ons — 清一色, 带幺九, 根 and the situational bonuses (自摸, 杠上花, 抢杠胡…). These are additive: a hand collects all of them at once. The one exception is 清一色, which is already baked into the tiers whose name starts with pure 清.
  3. Convert to points — 分 = 番 × 底分. The base value 底分 is a table convention; on this site it is 1, so one fan = one point and the fan count is also the point count. A round is capped at 32 fan 封顶.

Stacking is where the money is

A plain hand wins 1 point. A plain hand won on your own draw in a single suit wins 6, and if it also contains two four-of-a-kinds it wins 8. Beginners count the shape; good players count the stack.

2. The fan table

Hand-shape tiers 牌型档 — pick the highest that applies

PatternChineseFanCondition
Base win平胡1Any standard win — four sets plus a pair. The floor of the whole table.
All triplets大对子 碰碰胡3All four sets are triplets or kongs — no runs anywhere. Worth 1 + 2. Exposed melds count.
Golden hook金钩钓3All four melds are exposed (pongs/kongs) and your hand is down to a single pair waiting on one tile.
Seven pairs七对4Seven distinct pairs, no melds exposed. Replaces the base win.
Dragon seven pairs龙七对8Seven pairs that contain a four-of-a-kind. The four-of-a-kind is already inside this number — it is not counted again as 根.
Eighteen arhats十八罗汉16All four of your melds are kongs — a legendary shape most players never see.
Pure all-triplets清对8Package deal: all one suit and all triplets.
Pure golden hook清金钩钓8Package deal: all one suit and a golden-hook shape.
Pure seven pairs清七对16Package deal: all one suit and seven pairs.
Pure dragon seven pairs清龙七对32Package deal: all one suit and dragon seven pairs. This is the cap.

Note the two kinds of number in that table. 平胡 → 大对子 → 七对 … are single tiers: a hand gets exactly one. 清对, 清七对 and friends are package prices — they exist because multiplying the two ideas together is worth more than adding them, so the tier is quoted as one number instead of being stacked piece by piece.

Add-ons 叠加番 — add every one that applies

PatternChineseFanCondition
All one suit清一色+4Every tile in the hand, melds included, is from a single suit. Skipped when your tier is already a pure 清 package. The big one.
Terminals everywhere带幺九+2Every set and the pair contains a 1 or a 9.
No terminals at all断幺九offNo 1s and no 9s anywhere. Not part of the Sichuan table — it is a national-standard and Japanese-rule pattern. This site ships it as a switch, off by default, so you can see the difference.
Four of a kind根+1 eachPer tile you hold four of. Skipped for seven-pairs hands, where 龙七对 already pays for it.
Self-draw自摸+1You drew the winning tile yourself rather than taking a discard.
Kong blossom杠上花+1The winning tile was the replacement tile drawn after a kong, and you drew it yourself.
Kong cannon杠上炮+1You won off a tile that someone was forced to discard right after their kong.
Robbing the kong抢杠胡+1Someone tried to add the fourth tile to their pong and you won on it. The kong does not happen — no kong money changes hands.
Last tile海底+1The win came off the very last tile in the wall.

Add-ons are applied after the tier, so a self-drawn all-one-suit hand is 1 + 4 + 1 = 6, not 4. 自摸 and 杠上花 also stack with each other: a self-drawn win on a kong replacement is +1 +1.

3. Four worked examples

Example A — plain hand, self-drawn

1条 2条 3条  ·  5条 5条 5条  ·  7万 8万 9万  ·  2筒 2筒 2筒  ·  6筒 6筒

A normal four-sets-plus-a-pair win across three suits, drawn by you.

平胡 base1
自摸 self-draw+1
Total2 fan → 2 points

Nobody has won yet, so all three opponents pay 2 each and you collect 6.

Example B — all one suit, won off a discard

2筒 3筒 4筒  ·  5筒 5筒 5筒  ·  6筒 7筒 8筒  ·  9筒 9筒 9筒  ·  1筒 1筒

Every tile is dots. You take the final tile from an opponent's discard.

平胡 base1
清一色 all one suit+4
自摸 (not self-drawn)—
Total5 fan → 5 points

On a discard win only the player who discarded the tile pays — 5 points, from one person.

Example C — all triplets with two exposed pongs

碰 5万  ·  碰 6万  ·  2条 2条 2条  ·  3筒 3筒 3筒  ·  8筒 8筒

Two of your four sets were claimed from discards, so only eight tiles sit in your hand — the other six are on the table as pongs. This is still all triplets, and nothing in the hand is a 1 or a 9.

大对子 all triplets (1 + 2)3
清一色 (two suits in play)—
断幺九 (switch is off, and not a Sichuan pattern)—
Total3 fan → 3 points

Exposed melds never reduce a shape fan: the tier is judged on the shape of the hand, not on how many tiles are left in it. A common confusion, and the reason this page spells it out.

Example D — dragon seven pairs, all one suit, off a discard

3条 3条  ·  3条 3条 (four of a kind)  ·  5条 5条  ·  6条 6条  ·  7条 7条  ·  8条 8条  ·  9条 9条

Seven pairs in one suit, and the four 3条 is what makes it a dragon.

清龙七对 pure dragon seven pairs32
根 four of a kind— (already inside 龙七对)
清一色 all one suit— (already inside the 清 package)
Total32 fan → 32 points (capped)

Two things to notice. 七对 replaces 平胡 rather than adding to it — you either win as seven pairs or as a standard hand, never both. And the pure tiers are quoted with everything already inside them: this hand does not collect 4 + 8 + 4 + 1 on the way up, it simply lands on 32.

4. Who pays

How you wonWho paysHow much each
Self-draw 自摸Every player who has not yet won this roundThe full fan value, each
Off a discard 点炮Only the player who discarded that tileThe full fan value, alone

Two consequences worth internalising. First, self-draw is worth roughly three times a discard win, because three people pay instead of one — which is why 自摸 is worth chasing. Second, because this is battle to the end 血战到底, "who has not yet won" shrinks as the round goes on: the third winner is paid by one player, not three.

5. Kong money is paid on the spot

Kong points do not wait for the end of the round. They change hands the moment the kong is made:

Kong typeChineseWho paysEach pays
Exposed kong (from a discard)直杠The player who discarded the 4th tile2
Concealed kong (all four in hand)暗杠All three opponents2
Added kong (on your own pong)补杠All three opponents1

One exception: if someone robs your added kong 抢杠胡, the kong never happens and no kong money changes hands at all. Your pong stays a pong, and the robber takes the tile plus one extra fan.

The refund clause 退税

Kong money is only yours if you eventually win the round. A player who collects kong points and never wins has to give every point back at settlement. This is the single most surprising rule for newcomers — and it is why a kong is a commitment, not free money.

6. When the wall runs out

If the round ends without three winners, nobody wins and penalties are charged instead:

SettlementChineseWhat happens
Ready check查叫 查大叫 Every player who is not ready (下叫) pays each ready player the fan value of that player's best wait — so the better your wait, the more you collect.
Flower pig查花猪 Anyone still holding tiles of their declared missing suit pays 16 points to each player who cleared theirs. The most expensive mistake in the game.
Tax refund退税 Everyone who never won refunds all the kong money they collected.

Read those three together and the game's whole incentive structure appears: clear your missing suit, get ready (下叫), and keep your wait as fat as possible. Almost every strategic idea in Sichuan mahjong is downstream of that sentence.

7. Where these rules come from

One documented preset, not the only one

Sichuan mahjong fan values genuinely differ from table to table and city to city — all-one-suit is worth 2 in some places and 4 in others, and rare fan names shift too. All-triplets is normally 大对子 on a Sichuan table (the rest of China says 碰碰胡). 金钩钓 and 十八罗汉 are kept as two separate patterns here because they are two different shapes — an all-exposed hand with a single-tile wait, versus four kongs — even though some tables use the same name for both.

断幺九 is deliberately off. It is a real pattern in the Chinese national standard and in Japanese mahjong, but it is not part of the Sichuan game; the Sichuan counterpart is 带幺九. It stays in the rules file as a switch so the difference is visible rather than asserted.

Where a name is genuinely contested, this site uses the term its own engine computes and says so, rather than quietly teaching one region's vocabulary as if it were universal.

Every number on this page is exactly what the table and the calculator on this site will compute, so the lesson and the scores can never disagree. Treat it as one clearly documented preset — then check your local table's house rules before you play for anything that matters.