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This is a table showing the compatibilities of the different [[yaku]] with each other. | [[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. | |||
==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, they cannot score together. For instance, a [[junchan]] hand has a terminal in every group. [[Chanta]] requires that the hand has a terminal or honor in every group. Because every junchan hand would also qualify for chanta, chanta is not scored. | |||
:There are two partial exceptions to this rule: | |||
:*[[Shousangen]] always implies two dragon yakuhai, but does not guarantee you have any one of "haku", "hatsu", or "chun". | |||
:*[[Ippatsu]] must be scored with a hand that declares [[riichi]]. However, "riichi" and "[[double riichi]]" are considered as 2 distinct yaku. Therefore, an ippatsu hand does not guarantee "riichi", since it could also be "double riichi". | |||
When two yaku imply each other, as with reason #2, there are two alternate ways to define it in the rules: | |||
*"Alter the yaku definitions so that they can never be scored together". In these rules, chanta is scored when there are honors/terminals in each group, and in addition, the hand ''must'' contain at least one honor tile. | |||
*"Yaku that imply each other cannot be scored". In these rules, chanta is scored when there are honor/terminals in each group (not requiring an honor tile). However, chanta and junchan are never scored together. Junchan is worth more, so it supersedes chanta. | |||
Both definitions are equivalent for any practical case. Most of these combinations, with the exception of toitoi + mentsumo, are based on the assumption that the yaku are defined using the second method. | |||
===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 {{or}} in the table below. | |||
== Yaku == | == Yaku == | ||
{| class="wikitable" width= | {| 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 || [[ | | SNA || [[Sanankou]] | ||
|- | |- | ||
| SNK || [[ | | SNK || [[Sankantsu]] | ||
|- | |- | ||
| CHA || [[Chanta]] | | CHA || [[Chanta]] | ||
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| CHK || [[Chankan]] | | CHK || [[Chankan]] | ||
|} | |} | ||
[[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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{{main|Multiple yakuman}} | {{main|Multiple 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 === | === Compatibility === | ||
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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}} | ||
|- | |- | ||
| [[ | | [[Shousuushii]] || SSS || {{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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