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Yaku compatibility (view source)

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[[Image:Junchan sanshoku baiman.jpg|thumb|right|250px|A single hand composed of six yaku to produce a baiman hand.]]
[[Image:Junchan sanshoku baiman.jpg|thumb|right|250px|A single hand composed of six yaku to produce a baiman hand.]]


This is a table showing the compatibilities of the different [[yaku]] with each other. While yaku may be combined in one hand, it is simply impossible to combine certain yaku with each other. This can arise for two reasons:
This is a table showing the compatibilities of the different [[yaku]] with each other. While yaku may be combined in one hand, it is simply 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.
# 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, they cannot score together. For instance, a [[junchan]] hand has a terminal in every group. This also fits the definition of [[chanta]], which mandates that the hand has a terminal or honor in each group. Every junchan hand is also a chanta hand, so chanta is not scored. By rule, two yaku cannot be combined if one always implies the other. (A partial exception is with [[shousangen]]. Shousangen always implies two dragon yakuhai, but does not always imply you have any one of "haku", "hatsu", or "chun".)
# When a yaku always implies another yaku, they cannot score together. For instance, a [[junchan]] hand has a terminal in every group. This also fits the definition of [[chanta]], which requires that the hand has a terminal or honor in each group. Because every junchan hand would also qualify for chanta, chanta is not scored.
:(A partial exception is with [[shousangen]]. Shousangen always implies two dragon yakuhai, but does not always imply you have any one of "haku", "hatsu", or "chun".)
 
Because of reason #2, there are a few other combinations that are impossible.
 
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 {{or}} in the table below.
 
Whether or not these combinations are actually combinations depends on the technical definition of the yaku. When yaku imply each other, such as junchan and chanta, there are two alternative ways to define this in the rules:
*Chanta is scored when there are honors/terminals in each group, and ''requires'' that the hand contains at least one honor tile.
*Chanta is scored when there are honors/terminals in each group (not requiring an honor tile). However, if a hand is eligible for both chanta and junchan, only one can be scored. Since junchan is the more valuable yaku, it is always the one scored.
 
Most of these combinations, with the exception of toitoi + mentsumo, are based on the assumption that the yaku are defined using the second method.


== Yaku ==
== Yaku ==
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| CHK || [[Chankan]]
| CHK || [[Chankan]]
|}
|}
Yaku strategy involves viability to form yaku and maximizing hand value, if possible. This maximization often involves the recognition of the different yaku forming in one hand.  Often, this affects the decision which tiles to keep and which to discard.
Three 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 {{or}} in the table below.
Whether or not these combinations are actually combinations depends on the technical definition of the yaku. Some yaku are restricted versions of other yaku, such as junchan and chanta. There are two alternative ways to define this in the rules:
*Chanta is scored when there are honors/terminals in each group, and ''requires'' that the hand contains at least one honor tile.
*Chanta is scored when there are honors/terminals in each group (not requiring an honor tile). However, if a hand is eligible for both chanta and junchan, only one can be scored. Since junchan is the more valuable yaku, it is always the one scored.
Most of these combinations, with the exception of toitoi + mentsumo, are based on the assumption that the yaku are defined using the second method.


[[Nagashi mangan]] is excluded, because it is incompatible with anything, even riichi.
[[Nagashi mangan]] is excluded, because it is incompatible with anything, even riichi.
Hordes
691

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