Yaku compatibility
This is a table showing the compatibilities of the different yaku with each other. While yaku may be combined in one hand, it is impossible to combine certain yaku with each other.
Overview
Yaku may not combine for two major reasons:
- Conflicting definitions. Tanyao requires the hand contains no honor tiles, but yakuhai requires a triplet of honor tiles, so the two cannot be combined.
- When a yaku always implies another yaku, the "lesser" yaku is not scored. For instance: honitsu requires every tile to be the same suit or an honor, while chinitsu requires every tile to be the same suit. Because every chinitsu hand counts as the cheaper honitsu, honitsu is not scored.
- There are two exceptions to this rule. Ippatsu does not imply riichi (since it could be double riichi), while shousangen doesn't imply the two dragon yakuhai (since it doesn't guarantee any of "haku", "hatsu", and "chun").
There are two alternate ways to prevent yaku from implicating each other:
- Alter the yaku definitions so that implied yaku are never scored together. Honitsu would be redefined as "a hand with every tile to be the same suit or an honor, including at least 1 honor".
- Yaku that imply each other simply can't be scored together. Honitsu would be "a hand with every tile to be the same suit or an honor", but it cannot be scored together with chinitsu.
These definitions are identical for any practical purpose.
Yaku
Click to expand the table:
| Key | |
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| Abbrevation | Yaku |
| RCH | Riichi |
| DRI | Double riichi |
| IPP | Ippatsu |
| SMO | Mentsumo |
| TAN | Tanyao |
| PFU | Pinfu |
| IPK | Iipeikou |
| ITT | Ittsu |
| YAK | Yakuhai |
| SDJ | Sanshoku doujun |
| SDO | Sanshoku doukou |
| TOI | Toitoi |
| SNA | Sanankou |
| SNK | Sankantsu |
| CHA | Chanta |
| JUN | Junchan |
| RPK | Ryanpeikou |
| SSG | Shousangen |
| HRO | Honroutou |
| HON | Honitsu |
| CHN | Chinitsu |
| CHI | Chiitoitsu |
| RIN | Rinshan |
| HAI | Haitei |
| HOU | Houtei |
| CHK | Chankan |
Nagashi mangan is excluded, because it is incompatible with anything, even riichi.
Compatibility
^ Ippatsu requires riichi to be of any use.
| RCH | DRI | IPP | SMO | TAN | PFU | IPK | ITT | YAK | SDJ | SDO | TOI | SNA | SNK | CHA | JUN | RPK | SSG | HRO | HON | CHN | CHI | RIN | HAI | HOU | CHK | |
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| PFU | |
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| ITT | |
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| HRO | |
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Indirectly illegal
There are a few combinations that are indirectly impossible due to the implication rule.
Four combinations actually form yakuman:
- Toitoi + Junchan = Chinroutou
- Toitoi + Mentsumo = Suuankou
- Honroutou + Junchan = Chinroutou
- Double riichi + Chankan is only possible with a Kokushi musou hand
Some combinations form a different yaku which implies one component of the combination, and as a result can never be counted:
- Toitoi + Chanta = Toitoi + Honroutou
- Chiitoitsu + Chanta = Chiitoitsu + Honroutou
- Honitsu + Tanyao = Chinitsu + Tanyao
- Honitsu + Junchan = Chinitsu + Junchan
- Chinitsu + Chanta = Chinitsu + Junchan
These combinations are marked with in the table above.
Yakuman
Yakuman may not combine with regular yaku. However, in certain rulesets, different yakuman can combine with each other. As a result, hands can score multiple yakuman.
The maximum number of distinct yakuman a hand can have is four: suuankou, tsuuiisou, daisuushii, and one of tenhou/chiihou/suukantsu. In rulesets where suuankou tanki and daiisuushi are scored as double, the hand ends up with a sextuple (x6) yakuman.
Compatibility
| KMU | DSG | SUA | SSS | DSS | TSU | RYU | CHR | CHU | SUK | TEN | CHH | ||
| Kokushi musou | KMU | |
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| Daisangen | DSG | |
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| Suuankou | SUA | |
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| Shousuushii | SSS | |
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| Daisuushii | DSS | |
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| Tsuuiisou | TSU | |
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| Ryuuiisou | RYU | |
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| Chinroutou | CHR | |
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| Chuuren poutou | CHU | |
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| Suukantsu | SUK | |
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| Tenhou | TEN | |
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| Chiihou | CHH | |
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External links
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