Yaku compatibility: Difference between revisions

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This is a table showing the compatibilities of the different [[yaku]] with each other. While yaku may be combined in one hand, some yaku simply cannot combine with each other due to tile counts and patterns. In other cases, they simply cannot combine by rule.
[[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:
 
# 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".)


== Yaku ==
== Yaku ==
{| class="wikitable" width=20%
{| class="wikitable" width=25%
! colspan=2 | Key
! colspan=2 | Key
|-
|-
! Abbrevation !! Yaku
!width=10%| Abbrevation !!width=90%| Yaku
|-
|-
| RCH || [[Riichi]]
| RCH || [[Riichi]]
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| TOI || [[Toitoi]]
| TOI || [[Toitoi]]
|-
|-
| SNA || [[San ankou]]
| SNA || [[Sanankou]]
|-
|-
| SNK || [[San kantsu]]
| SNK || [[Sankantsu]]
|-
|-
| CHA || [[Chanta]]
| CHA || [[Chanta]]
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|}
|}


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.
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.


Two combinations actually form yakuman:
Three combinations actually form yakuman:


* Toitoi + Junchan = Chinroutou
* Toitoi + Junchan = Chinroutou
* Toitoi + Mentsumo = Suuankou
* 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.


A third combination forms a different yaku:
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.


* Toitoi + Chanta = Honroutou
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.
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=== Compatibility ===
=== Compatibility ===


{| class="wikitable" width=100%
{{Yaku compatibility table}}
|-
| || width=4% | RCH || width=4% | DRI || width=4% | IPP || width=4% | SMO || width=4% | TAN || width=4% | PFU || width=4% | IPK || width=4% | ITT || width=4% | YAK || width=4% | SDJ || width=4% | SDO || width=4% | TOI || width=4% | SNA || width=4% | SNK || width=4% | CHA || width=4% | JUN || width=4% | RPK || width=4% | SSG || width=4% | HRO || width=4% | HON || width=4% | CHN || width=4% | CHI || width=4% | RIN || width=4% | HAI || width=4% | HOU || width=4% | CHK
|-
| RCH ||bgcolor="000000"| ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| DRI ||bgcolor="000000"| ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| IPP || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{no}} || {{yes}} 
|-
| SMO || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{or}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}}
|-
| TAN || {{yes}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} 
|-
| PFU || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} 
|-
| IPK || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} 
|-
| ITT || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| YAK || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| SDJ || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} ||bgcolor="000000"|  || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| SDO || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{no}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| TOI || {{yes}} || {{yes}} || {{yes}} || {{or}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{or}} || {{or}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{no}}
|-
| SNA || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| SNK || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| CHA || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{or}} || {{yes}} || {{yes}} ||bgcolor="000000"| || {{no}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| JUN || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{or}} || {{yes}} || {{yes}} || {{no}} ||bgcolor="000000"|  || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| RPK || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} ||bgcolor="000000"| || {{no}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{no}}
|-
| SSG || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| HRO || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} ||bgcolor="000000"|  || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}}
|-
| HON || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| CHN || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} ||bgcolor="000000"|  || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}}
|-
| CHI || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"|  || {{no}} || {{yes}} || {{yes}} || {{no}}
|-
| RIN || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} ||bgcolor="000000"|  || {{no}} || {{no}} || {{no}}
|-
| HAI || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} ||bgcolor="000000"|  || {{no}} || {{no}} 
|-
| HOU || {{yes}} || {{yes}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{no}} ||bgcolor="000000"|  || {{no}}
|-
| CHK || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{no}} || {{no}} || {{no}} || {{no}} || bgcolor="000000"|
|}


== Yakuman ==
== Yakuman ==
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| [[Suuankou]] ||  SUA  || {{no}} || {{yes}} ||bgcolor="000000"| || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
| [[Suuankou]] ||  SUA  || {{no}} || {{yes}} ||bgcolor="000000"| || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
|-
|-
| [[Shousuushi]] ||  SSS  || {{no}} || {{no}} || {{yes}} ||bgcolor="000000"| ||bgcolor="000000"| || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
| [[Shousuushii]] ||  SSS  || {{no}} || {{no}} || {{yes}} ||bgcolor="000000"| ||bgcolor="000000"| || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
|-
|-
| [[Daisuushi]] ||  DSS  || {{no}} || {{no}} || {{yes}} ||bgcolor="000000"| ||bgcolor="000000"| || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
| [[Daisuushii]] ||  DSS  || {{no}} || {{no}} || {{yes}} ||bgcolor="000000"| ||bgcolor="000000"| || {{yes}} || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
|-
|-
| [[Tsuuiisou]] ||  TSU  || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"| || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
| [[Tsuuiisou]] ||  TSU  || {{no}} || {{yes}} || {{yes}} || {{yes}} || {{yes}} ||bgcolor="000000"| || {{no}} || {{no}} || {{no}} || {{yes}} || {{yes}} || {{yes}}
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{{Navbox yaku}}
{{Navbox yaku}}
{{Navbox strategy}}
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