Yaku compatibility

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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, some yaku simply cannot combine with each other due to tile counts and patterns. In other cases, one yaku would always imply another. For instance, a junchan hand has a terminal or honour in every group (since it has a terminal in every group), and so it would qualify for chanta. By rule, two yaku cannot be combined if one always implies the other. There is a partial exception to this as shousangen always implies at least two yakuhai for sets of dragons, but they are not necessarily the same two yakuhai so they are counted in addition.

Yaku

Key
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

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

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 13 grey.png 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: either chanta can require that the hand contain at least one honour tile, or it can allow no honour terminals, but with a separate rule saying that chanta and junchan cannot both be counted. In this case, since junchan is higher-scoring, any chanta hand without honours, while qualifying for chanta, would never score it. 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.

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
RCH 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
DRI 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
IPP 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png
SMO 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png
TAN 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 grey.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
PFU 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
IPK 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
ITT 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
YAK 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
SDJ 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
SDO 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
TOI 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 grey.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png
SNA 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
SNK 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
CHA 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 grey.png 13 grey.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
JUN 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 grey.png 13 grey.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
RPK 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png
SSG 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
HRO 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 grey.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png
HON 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
CHN 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 grey.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png
CHI 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 grey.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png
RIN 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png
HAI 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png
HOU 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png
CHK 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png

Yakuman

Even different yakuman may be combined. As a result, point values may increase beyond single yakuman values as multiples of yakuman. Of course, that's only if the rules allow extension into double yakuman and beyond. Combinations involving three kinds of yakuman involve either tsuuiisou, tenhou, or chiihou. With this in mind, the options for combining different yakuman are limited.

Compatibility

KMU DSG SUA SSS DSS TSU RYU CHR CHU SUK TEN CHH
Kokushi musou KMU 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png
Daisangen DSG 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Suuankou SUA 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Shousuushii SSS 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Daisuushii DSS 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Tsuuiisou TSU 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Ryuuiisou RYU 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Chinroutou CHR 13 red x.png 13 red x.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png 13 green check.png
Chuuren poutou CHU 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 red x.png 13 green check.png 13 green check.png
Suukantsu SUK 13 red x.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png 13 red x.png 13 red x.png
Tenhou TEN 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png
Chiihou CHH 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 green check.png 13 red x.png

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