Fu Calculation Basics
Fu is the shape half of a riichi score. Han says how strong the yaku are. Fu says how the melds, the pair, the wait, and the ron or the tsumo are built. Below a limit, base points are fu × 2^(han+2). The seat and the win method turn those base points into a payment, and each payer rounds up to the next 100. Mangan and the rows above replace the product. The path from han to payment is Scoring Basics. This page is the fu arithmetic that path uses.
The worked hands are East round, South seat, so the winner is a non-dealer. Payment lines call that seat a child. East is the round wind. South is the seat wind. West and North are guest winds. No caption includes dora, honba, or riichi sticks. Counting Han is the han half. Wait Types is where the wait names come from. The Score Table is the grid after the fu is rounded. Riichi Mahjong is the rules frame.
The analyzer prints shanten and the wait list: kinds, and the copies still left in the hand. It does not print a fu total. The sums below are riichi fu, written out from the table. A hand with a clear fu and no yaku still pays nothing on a ron. A closed self-draw can supply that yaku by itself. A riichi declaration can too. Fu does not open the floor.
Score training gives the yaku and the seat. You enter the rounded fu, the han, and the payment. The drill stops before dora, honba, and riichi sticks, so the number you enter is this core.
Component table
Every ordinary hand starts at 20. Add the rows that apply. Then round up to the next 10, with the two exceptions in the later sections: chiitoitsu stays at 25, and pinfu tsumo stays at 20.
| Source | Fu |
|---|---|
| Base | 20 |
| Closed ron | +10 |
| Tsumo | +2, except pinfu tsumo and chiitoitsu |
| Open triplet, simple (2–8) | +2 |
| Open triplet, terminal or honor | +4 |
| Closed triplet, simple | +4 |
| Closed triplet, terminal or honor | +8 |
| Open kan, simple | +8 |
| Open kan, terminal or honor | +16 |
| Closed kan, simple | +16 |
| Closed kan, terminal or honor | +32 |
| Dragon pair, seat-wind pair, or round-wind pair | +2 |
| Pair that is both seat wind and round wind | +4 |
| Tanki, kanchan, or penchan | +2 |
| Ryanmen or shanpon | +0 |
A sequence scores 0, whether it is 234 or 789. A pair of 1 or 9 scores 0. A guest-wind pair scores 0. For this South seat in the East round, West and North are guest winds, East is only the round wind, and South is only the seat wind. A dragon pair, a round-wind pair, or a seat-wind pair scores 2. A pair that is both the seat wind and the round wind scores 4. That double happens for the dealer, whose seat matches the round. It does not happen for the South seat in this East round. A value pair is fu only. Yakuhai is the triplet. A dragon pair, or a wind pair, does not hand you the han.
A triplet the ron tile completes is scored on the open row, even when the hand never called. The hand is still closed, so the closed-ron 10 still applies. "Open" here is the price of that one meld, not a call. A triplet the tsumo tile completes, or a triplet that was already closed in the hand, stays on the closed row. The same split applies to the idea of a kan: a closed kan is not priced as a triplet. None of the hands below contain a kan, and none are open. The four kan rows are four times the matching triplet row, so 2, 4, 4, and 8 become 8, 16, 16, and 32.
An open hand whose only fu would be the base 20 is scored as 30. That is the all-sequence hand that has called, won on a two-sided wait, and holds a pair that is not a value pair. The closed-ron 10 is gone, nothing else in the table fires, and the raw 20 is lifted to 30. Pinfu itself is gone too, because pinfu requires a closed hand.
When one winning tile has two legal decompositions, the higher payment is the one that scores. Han is compared first, then the rounded fu. The hands below meet that rule where a second reading exists.
Round up to the next 10
Add the rows, then move up to the next multiple of 10. A total that is already a multiple of 10 stays there. 20 stays 20. 30 stays 30. 40 stays 40. 50 stays 50. 60 stays 60. 22 becomes 30. 24 becomes 30. 32 becomes 40. 34 becomes 40. 36 becomes 40. 38 becomes 40. 42 becomes 50. 44 becomes 50. 52 becomes 60.
Ordinary rows are even, so an ordinary total is even. The only odd fu in this system is the fixed 25 of chiitoitsu, and that 25 is not sent through this round-up. Pinfu tsumo is the other skip: the tsumo 2 is left off, and 20 is not lifted to 30.
The three hands here are the first worked totals. The ryanmen stays on 30. The kanchan and the penchan are 32, and 32 rounds to 40. At 1 han, that one step is the difference between a child ron of 1000 and a child ron of 1300. The rest of the page is the same step on heavier shapes.
Shanten 0. Waits 4 man ×4 and 7 man ×2: 2 kinds, 6 tiles. 56 man beside a pair of 7 man, with sequences 345 pin, 678 pin, and 456 sou. Ryanmen is 0. All simples, so the two-sided reading is tanyao and pinfu. Closed ron is 20 + 10 = 30, and 30 stays 30.
Two 7 man are already the pair, so that side has 2 tiles left. No 4 man is in the hand, so that side has 4. The copy split is not a fu bonus. Both tiles are two-sided. A pair-wait reading of the 7 man would add the tanki 2, making 32, which rounds to 40, and it would drop pinfu. Tanyao alone at 1 han 40 fu is a child ron of 1300. Tanyao and pinfu at 2 han 30 fu is a child ron of 2000. The higher payment keeps the ryanmen and the 30. Dealer ron on that line is 2900.
Shanten 0. Waits 7 sou ×4: 1 kind, 4 tiles. 68 sou is the gap, pair of 9 sou, sequences 345 man, 678 man, and 123 pin. Kanchan is 2. Closed ron is 20 + 10 + 2 = 32, which rounds to 40.
One pin and 9 sou are terminals, so tanyao is absent. The wait is not two-sided, so pinfu is absent. The tiles alone have no pattern yaku. The fu is still 40 once a yaku is added. A riichi ron keeps this 40. A closed self-draw of the same shape replaces the closed-ron 10 with the tsumo 2: 20 + 2 + 2 = 24, which rounds to 30, and menzen tsumo is the 1 han. Child tsumo at 1 han 30 fu is 500 from the dealer and 300 from each other child.
Shanten 0. Waits 3 sou ×4: 1 kind, 4 tiles. 12 sou is the edge, pair of 9 sou, sequences 456 man, 789 man, and 234 pin. Penchan is 2. Closed ron is 32, which rounds to 40.
Penchan and kanchan share the row. The edge and the gap are different shapes and the same 2 fu. Nine sou blocks tanyao here as well. The sequences add nothing. Rounding is the whole move from 32 to 40, and the score table then reads 1 han at 40 fu as a child ron of 1300 and a dealer ron of 2000, once the han exists.
Ryanmen adds 0
A ryanmen is two adjacent tiles with room on both sides. 78 waits on 6 and 9. 67 waits on 5 and 8. 56 waits on 4 and 7. The winning tile completes a sequence. The wait row is 0. That 0 is also what lets pinfu exist. Pinfu wants four sequences, a closed hand, a pair that is not a value pair, and this two-sided wait. The 30 and the 20 are fixed in the pinfu section. The hands here are the shape that gets there.
A 9 that finishes 789 is still ryanmen when 6 is also a wait. Penchan is the edge that has only one side: 12 waiting on 3, or 89 waiting on 7. The tile's number being a terminal does not rename the wait.
Shanten 0. Waits 6 man ×4 and 9 man ×4: 2 kinds, 8 tiles. 78 man is ryanmen, 0 fu. Sequences 234 pin, 567 pin, and 456 sou, pair of 1 sou. The pair is not a value pair. Closed ron is 30. One sou blocks tanyao, so the pattern han is pinfu alone.
Both sides have 4 copies left because the hand holds neither 6 man nor 9 man. Eight tiles is the width. It is not a multiplier on the fu. Child ron at 1 han 30 fu is 1000. Dealer ron is 1500. Winning on 9 man still completes a two-sided sequence, 789, so the wait fu stays 0. The finished hand contains 9 man and 1 sou, and tanyao still fails.
Shanten 0. Waits 5 sou ×4 and 8 sou ×4: 2 kinds, 8 tiles. 67 sou is ryanmen, 0 fu. Sequences 345 man, 678 man, and 234 pin, pair of 2 pin. All simples. Tanyao and pinfu. Closed ron is 30.
Same wait row as the hand above, and the same 30. The han moved. Tanyao adds 1, pinfu is the other 1, and 2 han at 30 fu is a child ron of 2000 and a dealer ron of 2900. The pair of 2 pin scores 0, which is what pinfu requires and what the fu table already says about a non-value pair. The ryanmen in the rounding section, with 4 man ×4 and 7 man ×2, is this same 30. Its uneven copies did not change the row.
Kanchan and penchan add 2
A kanchan is a gap in the middle. 57 waits on 6. 68 waits on 7. A penchan is an edge with one side. 12 waits on 3. 89 waits on 7. Each is 2 fu. After the base 20 and the closed-ron 10, a hand with no triplet and no value pair is 32, and 32 rounds to 40. The two hands in the rounding section were the first of these. The four below are the same row on new tiles.
Shanten 0. Waits 6 pin ×4: 1 kind, 4 tiles. 57 pin is kanchan, 2 fu. Pair of 1 man, sequences 234 man, 456 sou, and 789 sou. Closed ron is 32, which rounds to 40. One man blocks tanyao, and the wait blocks pinfu.
Shanten 0. Waits 6 sou ×4: 1 kind, 4 tiles. 57 sou is kanchan, 2 fu. Pair of 9 sou, sequences 456 man, 789 man, and 234 pin. Same 32 rounded to 40. Nine sou blocks tanyao.
The pair changed from 1 man to 9 sou and the fu did not. A terminal pair is 0 on either end. Four copies on the single kind is the full hand-only count: no 6 is already held. A riichi ron of either hand is 1 han at 40 fu, child ron 1300. The self-draw line from the rounding section applies to both: 24 rounded to 30, at 1 han from menzen tsumo.
Shanten 0. Waits 3 sou ×4: 1 kind, 4 tiles. 12 sou is penchan, 2 fu. Pair of 9 pin, sequences 123 man, 456 man, and 789 pin. Closed ron rounds from 32 to 40.
Shanten 0. Waits 3 sou ×4: 1 kind, 4 tiles. 12 sou is penchan, 2 fu. Pair of 9 sou, sequences 234 man, 567 man, and 345 pin. Same 2 fu and the same 40 after rounding.
Both wait on 3 sou ×4. The man sequences moved, and sequences do not add fu, so the total cannot move. One man, 9 pin, and 9 sou are the terminals that block tanyao. The wait blocks pinfu on every one of these four hands. Naming the shape is the whole fu decision: gap or edge is 2, two-sided is 0.
Tanki adds 2
A tanki is a pair wait. One tile is held, and the matching copy finishes the pair. The wait is 2 fu. A dragon, the seat wind, or the round wind, once it is that pair, adds its own 2. A pair of 1 or 9 does not. The wait 2 and the pair 2 are different rows. Both can fire on the same win, and either one can be the difference that rounding swallows.
Shanten 0. Waits white ×3: 1 kind, 3 tiles. The single white is a tanki, 2 fu, and the finished pair is a dragon, 2 fu. Sequences 345 man, 678 pin, 234 sou, and 567 sou. Closed ron is 20 + 10 + 2 + 2 = 34, which rounds to 40. The dragon pair is not a han.
One white is already held, so 3 copies remain of the 4. The pair fu is real, and 34 still rounds to the same 40 as the empty 32. At 1 han the child ron is 1300 either way. The dragon's 2 would matter on a total that was about to cross a ten: 38 stays inside 40, and 40 plus another 2 is 42, which rounds to 50. This hand is the 34 case. Yakuhai is still absent, because the white tiles are a pair.
Shanten 0. Waits 9 pin ×3: 1 kind, 3 tiles. The single 9 pin is a tanki, 2 fu. The pair of 9 pin is a terminal, 0 fu. Sequences 345 man, 678 man, 456 sou, and 123 pin. Closed ron is 32, which rounds to 40.
Same wait row, no pair row. 32 and 34 meet at 40. Nine pin and 1 pin block tanyao. The tanki blocks pinfu. A riichi ron is 1 han at 40 fu. Compare the white tanki before you drop the pair row: the honor added 2, and the bracket did not move.
Shanten 0. Waits red ×3: 1 kind, 3 tiles. Tanki on red is 2 fu, and the red pair is 2 fu. Sequences 456 man, 678 pin, 234 sou, and 567 sou. Closed ron is 34, which rounds to 40.
Red and white are the same pair row. Dragons do not care about the round or the seat. The sequences were swapped against the white hand and the sum is the same 34. A guest wind in this seat, West or North, would have been a tanki of 2 with a pair of 0, the 32 line, because a guest-wind pair is not a value pair.
A nobetan is tanki on every side
Four consecutive tiles, such as 6789, wait on both ends. Each end completes a pair: 66 with 789, or 99 with 678. That block is a nobetan. The copies on the two ends can match, which is why the block gets filed with ryanmen. The fu row is the tanki row, 2 on each side. A longer run can add a third pair-wait in the middle. Three pair-waits are still tanki. The three-sided sequence wait, sanmenchan, is a different shape, and its tiles are ryanmen at 0. The names are on Wait Types.
Shanten 0. Waits 3 man ×3, 6 man ×3, and 9 man ×3: 3 kinds, 9 tiles. Each tile completes a pair. 3 man leaves 456 and 789. 6 man leaves 345 and 789. 9 man leaves 345 and 678. Sequences 567 pin and 678 sou stay. Each side is tanki, 2 fu. Closed ron is 32, which rounds to 40.
One of each winning tile is already inside the run, so each side has 3 left. The matched counts are the trap. A ryanmen reading would score the wait at 0 and leave a closed ron of 30. Once a yaku is present, 1 han at 30 fu pays a child ron of 1000, and 1 han at 40 fu pays 1300. The pair that remains is 3, 6, or 9. None of those is a value pair, so the pair row stays 0, including on the terminal 9. Nine man sits in the hand on every side, so tanyao fails on all three, and the tanki fails pinfu on all three. The fu is 40 on each of them.
Closed triplets and the value pair
A closed simple triplet, 2 through 8, is 4 fu. A closed terminal or honor triplet is 8. An open simple is 2. An open terminal or honor is 4. The pair's 2 is a separate row, and only for a dragon, the seat wind, or the round wind. The winning tile decides which groups stay closed. A sequence wait leaves every triplet as it stood.
Shanten 0. Waits 3 pin ×4 and 6 pin ×4: 2 kinds, 8 tiles. 45 pin is ryanmen, 0 fu. 111 man is a closed terminal triplet, 8 fu. 333 man is a closed simple triplet, 4 fu. The white pair is 2 fu and is not a han. 789 sou is a sequence. Closed ron is 20 + 10 + 8 + 4 + 2 = 44, which rounds to 50.
The winning tile completes 345 pin or 456 pin, so both triplets stay on the closed row. 44 rounds to 50. At 1 han, 50 fu is a child ron of 1600 and a dealer ron of 2400. The white pair does not supply that han. One man blocks tanyao. The triplet blocks pinfu. Until a yaku is added, the 50 is a fu total with no payment.
Shanten 0. Waits 3 pin ×4 and 6 pin ×4: 2 kinds, 8 tiles. 45 pin is ryanmen, 0 fu. 111 man is a closed terminal triplet, 8 fu. 222 man is a closed simple triplet, 4 fu. The green pair is 2 fu and is not a han. 789 sou is a sequence. Closed ron is 44, which rounds to 50.
Same wait, same 44, same 50. Green replaced white, and 222 man replaced 333 man. A simple triplet is 4 whether the number is 2 or 3. A dragon pair is 2 whether the dragon is white or green. The han is still 0 from the tiles. Memorize the rows on this pair of hands, then change one group and watch a single row move.
Shanten 0. Shanpon on 1 pin ×2 and red ×2: 2 kinds, 4 tiles. 111 man and 999 man are closed terminal triplets, 8 fu each. 234 sou is a sequence. The wait itself is 0.
A ron on red completes an honor triplet. That triplet is priced on the open row, 4 fu, and it is yakuhai, 1 han. The pair left behind is 1 pin, 0 fu. The two man triplets stay closed. The total is 20 + 10 + 8 + 8 + 4 = 50, already a multiple of 10. One han at 50 fu is a child ron of 1600 and a dealer ron of 2400. Pricing that red triplet as closed, 8 instead of 4, produces 54, which rounds to 60. One han at 60 fu is a child ron of 2000. The open row is the difference between 1600 and 2000 on this side.
A ron on 1 pin completes an open terminal triplet, 4 fu, and leaves the red pair at 2 fu. The man triplets stay at 8 each. The total is 20 + 10 + 8 + 8 + 4 + 2 = 52, which rounds to 60. Red is still a pair, so yakuhai is absent, 234 sou blocks a terminal-only pattern, and the tiles have no yaku on this side. The 60 is real fu. It pays when a yaku is added. A riichi ron would be 1 han at 60 fu, child ron 2000. The two sides of one shanpon are 50 with a han, and 60 without one.
Shanten 0. Waits 6 sou ×4 and 9 sou ×2: 2 kinds, 6 tiles. The green triplet is already closed, 8 fu, and green is yakuhai. Sequences 234 man and 567 pin. 78 sou beside a pair of 9 sou is ryanmen, 0 fu. Closed ron before the wait row is 20 + 10 + 8 = 38, which rounds to 40.
The yaku and the 8 are in the hand before the win. Either tile keeps 1 han. The 6 sou side is only the two-sided completion: 678 sou, pair of 9 sou unchanged, wait fu 0, unrounded 38, rounded 40. The 9 sou side can also be read as a tanki, which adds 2 and lands on 40 exactly. The rounded cell is 40 either way. Child ron is 1300. Dealer ron is 2000. What the dragon contributes is the han, plus the 8 that pushed the unrounded total off 30. Without that 8 the closed ron would be the pinfu 30, and the triplet is exactly why pinfu is unavailable.
Shanpon adds 0
A shanpon is two pairs, and either pair can become the triplet. The wait row is 0, the same number as ryanmen, for a different reason. The fu that moves is the triplet the winning tile creates. On a ron, that triplet uses the open row. On a tsumo, it uses the closed row. The pair that remains uses the pair row, if it is a value pair, and 0 if it is a terminal or a guest wind.
Shanten 0. Shanpon on 1 pin ×2 and 9 sou ×2: 2 kinds, 4 tiles. East is already a closed honor triplet, 8 fu. 123 man and 789 man are sequences. The wait is 0. A ron on either tile prices that tile as an open terminal triplet, 4 fu, and leaves the other tile as a terminal pair, 0 fu. The total is 20 + 10 + 8 + 4 = 42, which rounds to 50.
East is the round wind, so the closed triplet is yakuhai, 1 han, and it stays closed because the win was not East. Each sequence contains a terminal. The new triplet is a terminal, and the pair that remains is a terminal. Every group has a terminal or an honor, and the hand contains an honor, so closed chanta applies, 2 han. Together with the round wind, a ron on either tile is 3 han at 50 fu. Child ron is 6400. Dealer ron is 9600. The sequences keep the hand out of toitoi.
The open-row 4 is the correct price. Scoring the new triplet as a closed 8 would make 46, which also rounds to 50, so this particular hand hides the bracket. The red ron in the previous section is the hand that shows it: 50 if the new triplet is open, 60 if it is priced closed. Use the open row on every ron triplet, including the ones where rounding happens to agree.
Shanten 0. Shanpon on white ×2 and green ×2: 2 kinds, 4 tiles. 111 man is a closed terminal triplet, 8 fu. 222 pin and 333 sou are closed simple triplets, 4 fu each. The wait is 0. A ron on either dragon prices that dragon as an open honor triplet, 4 fu, and leaves the other dragon as a pair, 2 fu. The sum is 20 + 10 + 8 + 4 + 4 + 4 + 2 = 52, which rounds to 60.
Both sides match. The new dragon is yakuhai. The dragon that stays a pair scores 2 fu and scores no han. The shape is four triplets, so toitoi applies. Three triplets were concealed before the winning tile arrived, so sanankou applies. The ron triplet is not one of those three. Han is toitoi 2, sanankou 2, and yakuhai 1. Five han is a mangan. Child ron is 8000. Dealer ron is 12000. The 60 fu is the correct rounded total, and a mangan row does not read it. The limit test is on Scoring Basics.
Pricing the ron dragon as a closed 8 would make 56, which also rounds to 60. Again the bracket holds. The row is still the open row. A self-draw would price that same dragon on the closed row and would replace the closed-ron 10 with the tsumo 2. The yaku list changes with that self-draw, and the fu is only used when the hand is still on the formula.
Chiitoitsu is 25
Seven distinct pairs, closed, is chiitoitsu: 2 han, and the fu is 25. The tanki that every seven-pair hand waits on does not add 2. A dragon pair, a round-wind pair, or a seat-wind pair does not add 2. Closed ron does not add 10. Tsumo does not add 2. The total does not round to 30. Four of a kind is not two pairs. A hand that is scored as four melds and a pair is not this yaku.
Two han at 25 fu: 25 × 2^(2+2) = 400 base points. A child ron is 400 × 4 = 1600. A dealer ron is 400 × 6 = 2400. Nothing is left to round. The same 2 han at the pinfu fu of 30 is a child ron of 2000, because 30 × 16 = 480 and 480 × 4 = 1920, which rounds up to 2000. Chiitoitsu pays less at the same han because the fu is 25. Three han at 25 fu, the tanyao stack, is 800 base points and a child ron of 3200. Four han at 25 fu is 1600 base points and a child ron of 6400, still under the mangan base of 2000. The 25 is what keeps that four-han ron off the mangan row. Four han reaches mangan when the fu is 40 or more.
If the same tiles can be read as ryanpeikou, two separate pairs of identical sequences, that reading scores and chiitoitsu does not. Ryanpeikou is 3 han. It uses ordinary meld fu. The two hands below are that overlap. Count the seven-pair line as 25 so the exception is visible. Then score the meld reading.
Complete. Shanten −1. Pairs of 2 man, 3 man, 4 man, 5 pin, 6 pin, 7 pin, and 1 sou. The seven-pair reading is 25 fu. Closed ron adds nothing, the tanki adds nothing, the terminal pair adds nothing, and 25 does not round to 30. The same tiles are two sequences of 234 man, two sequences of 567 pin, and a pair of 1 sou. That reading is ryanpeikou, and it is the one that scores.
The picture is a finished fourteen, so the winning tile is not marked. Ryanpeikou's fu depends on that tile. A two-sided completion is the pinfu 30, and pinfu can sit on ryanpeikou. A pair-wait completion is the tanki line below. Either way the han is at least the 3 of ryanpeikou, and the 25 is unused. One sou blocks tanyao on both readings. The two readings are not added together.
Shanten 0. Waits 1 sou ×3: 1 kind, 3 tiles. Six pairs are already made, and 1 sou is the single. The seven-pair reading stays 25 fu when that tile arrives. The sequence reading is ryanpeikou with a tanki on 1 sou. Closed ron is 20 + 10 + 2 = 32, which rounds to 40, at 3 han. The table uses 40.
One sou is already held, so 3 copies remain. There is no value pair and no triplet on the meld reading, which is why the only addition past 20 + 10 is the tanki 2. Three han at 40 fu has base points 40 × 32 = 1280. Child ron is 5120, which rounds to 5200. Dealer ron is 7680, which rounds to 7700. The unused seven-pair line would have been 2 han at 25 fu, a child ron of 1600. The gap between those payments is the reason the overlap is checked before the 25 is written down.
A seven-pair hand that cannot be arranged as four melds and a pair keeps the 25 on a ron and on a tsumo. Menzen tsumo then adds its han on top of the 2, and the fu stays 25. That is the line score training expects when the yaku list says chiitoitsu and does not say ryanpeikou.
Pinfu is 30 or 20
Pinfu is a closed hand of four sequences and a pair that is not a dragon, the seat wind, or the round wind, won by completing a sequence on a ryanmen. The fu is not built by adding a pinfu row. The ordinary rows simply come out even.
On a closed ron the rows are the base 20 and the closed-ron 10. The wait is 0. The sequences are 0. The pair is 0. The total is 30, already a multiple of 10. On a tsumo the closed-ron 10 is absent, and the tsumo 2 is left off as well. The total is 20. It is not lifted to 30. Menzen tsumo still adds its own han. The fu exception and the han are separate.
A kanchan, a penchan, a tanki, or a shanpon blocks pinfu. A value pair blocks it. A triplet blocks it. An open hand blocks it. When the winning tile can be read as ryanmen and also as a tanki, the ryanmen reading is the one that keeps pinfu, and it scores when that payment is higher.
Shanten 0. Waits 6 sou ×4 and 9 sou ×2: 2 kinds, 6 tiles. 223344 man is 234 twice, which is iipeikou. 567 pin is a sequence. 78 sou beside a pair of 9 sou is ryanmen, 0 fu. The pair is not a value pair. Closed ron is pinfu at 30 fu. Nine sou blocks tanyao.
Iipeikou is 1 han and stacks with pinfu. Closed ron is 2 han at 30 fu. Child ron is 2000. Dealer ron is 2900. The 6 sou wait is only the two-sided completion, 678 sou, pair unchanged. The 9 sou wait can also be read as a tanki. That reading drops pinfu and leaves iipeikou at 32 fu, rounded to 40, a child ron of 1300. The higher payment keeps the ryanmen, the pinfu, and 2000. A tsumo on the ryanmen is the pinfu exception: fu 20, plus menzen tsumo, so the han is iipeikou, pinfu, and menzen tsumo, 3 han at 20 fu.
Shanten 0. Waits 4 sou ×4 and 7 sou ×2: 2 kinds, 6 tiles. 56 sou beside a pair of 7 sou is ryanmen, 0 fu. Sequences 345 man, 678 man, and 456 pin. All simples. Tanyao and pinfu. Closed ron is 30 fu. A tsumo on the same shape is 20 fu.
Closed ron is 2 han at 30 fu. Child ron is 2000. Dealer ron is 2900. The self-draw adds menzen tsumo and drops the fu from 30 to 20, so the hand becomes 3 han at 20 fu. Base points are 20 × 2^(3+2) = 640. A child collects 1300 from the dealer and 700 from each other child. A dealer collects 1300 from each child. Compare the kanchan self-draw earlier on this page: that hand added the tsumo 2 and the wait 2 and rounded 24 up to 30. Pinfu omits the tsumo 2, and 20 stays 20. The two exceptions are the same sentence in the table, and they produce different numbers.
The 7 sou side has a tanki reading, the same trap as the rounding hand with 4 man and 7 man. Tanyao without pinfu at 40 fu is the lower payment. The scored ron stays 2 han at 30.
A mixed wait is more than one row
Some tenpai lists contain more than one shape. The copies do not tell you the row. A side with 1 tile left can be the short end of a ryanmen, because three copies are already sitting in a triplet. A side with 4 tiles left can be a shanpon partner's neighbor rather than a second ryanmen. Score the winning tile's decomposition. Then round. When two decompositions of that tile are both legal, take the higher payment.
Shanten 0. Waits 6 sou ×4, 9 sou ×1, and white ×2: 3 kinds, 7 tiles. 234 man and 456 pin are sequences. Sou is 78999 beside a pair of white.
The 6 sou wait is ryanmen. It completes 678 beside a closed triplet of 9 sou and the white pair. The triplet is a closed terminal, 8 fu. The white pair is 2 fu. The wait is 0. Closed ron is 20 + 10 + 8 + 2 = 40, already a multiple of 10. White is a pair, so this side has no yakuhai. Nine sou blocks tanyao. The triplet blocks pinfu. The tiles alone have no yaku on 6 sou.
The single 9 sou is the other side of that ryanmen. Three 9 sou are already in the hand, which is why 1 copy remains. It is not a tanki. The ryanmen reading matches the 6 sou bill: closed 999 at 8, white pair at 2, wait at 0, total 40. The same 9 sou can also complete the triplet, with 789 as the sequence and white staying the pair. That reading is the shanpon side. The 9 sou triplet is then an open terminal, 4 fu, the white pair is still 2, and the wait is 0. The total is 20 + 10 + 4 + 2 = 36, which rounds to 40. Both readings of 9 sou are 40 fu, and neither has a pattern yaku. Calling the ×1 a tanki and adding 2 on top of the closed triplet and the dragon pair produces 42, which rounds to 50. That 50 is the misread.
The white wait is shanpon, 0 fu. A ron on white completes an open honor triplet, 4 fu, and it is yakuhai, 1 han. The pair left behind is 9 sou, 0 fu. The sequences are 234 man, 456 pin, and 789 sou. The total is 20 + 10 + 4 = 34, which rounds to 40. One han at 40 fu is a child ron of 1300. Pricing the white triplet as closed, 8 instead of 4, would make 38, which also rounds to 40, so the bracket holds and the row is still the open row.
All three kinds round to 40. The han does not match across them. Only the white ron has a yaku from the tiles. The 6 sou and 9 sou rons have the closed-triplet fu and the dragon-pair fu, and they still need a yaku before they pay. Write the winning tile down before you add a row. The list 6 sou ×4, 9 sou ×1, white ×2 is three shapes sharing one tenpai, not one fu with three widths.
Riichi, Chinese Official, and Sichuan
What to study next
- Name the yaku in Counting Han. A fu total with no yaku does not pay on a ron.
- Add the rows from the table on this page. Ryanmen and shanpon stay at 0. Tanki, kanchan, and penchan add 2. A nobetan is the tanki row on more than one tile.
- Price a ron triplet on the open row. Price a triplet that was already closed, and a triplet a tsumo completes, on the closed row. The closed-ron 10 still applies when the hand never called.
- Round up to the next 10. Leave chiitoitsu at 25. Leave pinfu tsumo at 20. Leave a multiple of 10 where it is.
- Check the wait name in Wait Types before you add 2. On a mixed list, score the tile that won.
- Read the cell on the Score Table, or multiply fu × 2^(han+2) and round the payment up to 100. Use a limit row when the hand qualifies. The test is in Scoring Basics.
- Enter fu, han, and the payment in score training. The yaku and the seat are given. Dora, honba, and riichi sticks are not.