Multiple yakuman

Multiple yakuman involve hands with more than one yakuman, as the name implies. While regular yaku may be stacked in one hand to raise value, the same can be done with different yakuman, where applicable.

Combination of Chinrotou and Suu kantsu in this one hand [1].

In terms of scoring, the number of yakuman in the hand serves as a multiplier to the base yakuman point value. As a result, extremely high scoring hands are made possible.

If, in addition to one or more regular yakuman, the hand would also be a kazoe yakuman, no extra yakuman is added for this. For regular yakuman, han from normal yaku and dora are not counted.

Scoring

Some rules do not allow multiple yakuman. In this case, even if the hand is composed of multiple yakuman, the score payout may be capped.

Yakuman as maximum score: Many professional organizations in Japan limit all payouts to a single yakuman, that being 32,000 points to a nondealer or 48,000 points to the dealer. Riichi deposits and repeats are added as usual. [2]
The European Mahjong Association (EMA) has decided to apply a made-in-Europe variant of this rule: daisuushi hands count as double yakuman (2012 RCR rules).

Single yakuman score per accumulated yakuman: On Tenhou.net, suuankou tanki, daisuushi, and the multiple wait versions of kokushi musou and chuuren poutou are all counted as scoring 1 yakuman. Cumulative yakuman, such as the examples below, are counted as 2 or more yakuman.

Full scoring: The common rules normally recognize that all yakuman are cumulative (except kazoe yakuman), and that the harder yakuman are worth double when counting.

Examples

• Daisuushi

Agari:

* Maximum score cap: 1 yakuman. (Note: 2 in the EMA)
* Cumulative single cap: 1 yakuman.
* Full scoring: 2 yakuman.

• Shousuushi + Tsuuiisou

Agari:

* Maximum score cap: 1 yakuman.
* Cumulative single cap: 2 yakuman.
* Full scoring: 2 yakuman.

• Suuankou + Daisangen

Tsumo:

* Maximum score cap: 1 yakuman.
* Cumulative single cap: 2 yakuman.
* Full scoring: 2 yakuman.
Note: Winning this hand by ron will only be worth a single daisangen hand.

• Suuankou tanki + Daisangen + Tsuuiisou

Agari:

* Maximum score cap: 1 yakuman.
* Cumulative single cap: 3 yakuman.
* Full scoring: 4 yakuman.