Riichi Mahjong

Riichi Mahjong · Closed 2 / open 2

Sanshoku Doukou (Triple Triplets) in Riichi Mahjong: Han, Examples and Odds

Sanshoku doukou example: three each of 2 characters, 2 dots and 2 bamboo, plus 4-5-6 characters and a pair of 9 dots

In riichi mahjong, Sanshoku doukou (triple triplets) is worth 2 han: a triplet (or kan) of the same number in each of characters, dots and bamboo. Called triplets are fine, and it stays 2 han with an open hand.

Three each of 2 characters, 2 dots and 2 bamboo: the same number as a triplet in every suit
On this page
  1. The rules for Sanshoku doukou
  2. How Sanshoku doukou is scored
  3. How it relates to other yaku
  4. Sanshoku doukou odds
  5. Sanshoku doukou in other mahjong styles
  6. FAQ

The rules for Sanshoku doukou

How Sanshoku doukou is scored

The yaku, han, fu and points below are computed live by the same scoring code the game uses.

Sanshoku doukou2 han
Total2 han 40 fu · 2,600 points

Non-dealer, East round, no dora, no honba.

Pon on 2 dots, concealed 2 characters and 2 bamboo, ron on a 9-dots single wait: only sanshoku doukou, 2 han, but three triplets keep the fu up.
Tanyao1 han
Sanshoku doukou2 han
Toitoi2 han
Total5 han 30 fu · Mangan · 8,000 points

Non-dealer, East round, no dora, no honba.

Pon on 3 characters and 3 dots, concealed 3 bamboo, shanpon on 7 bamboo and 8 dots: sanshoku doukou, toitoi and tanyao — mangan.

With three triplets already in place, it often comes with toitoi and sanankou:

CombinationHan
Sanshoku doukou2
Sanshoku doukou + toitoi4
Sanshoku doukou + toitoi + tanyao5
Sanshoku doukou + sanankou4
Sanshoku doukou + toitoi + sanankou6

How it relates to other yaku

Sanshoku doukou odds

Sanshoku doukou needs one number in all three suits: there are only 12 of those tiles, and you need 9 of them. As soon as one of them is called by someone else or two copies are discarded, it's gone. That is why it's so much rarer than sanshoku doujun.

In 40,000 hands (33,226 wins) between four normal-level computers on this site, sanshoku doukou appeared only 3 times — about once every 13,333 hands. In the same games sanshoku doujun was in 1.6% of wins.

YakuShare of wins
Sanshoku doujun1.6%
Ittsu0.57%
Honitsu0.76%
Toitoi0.19%
Sanankou0.26%
Chanta0.25%
Junchan0.042%
Ryanpeikou0.021%
Chinitsu0.027%
Shousangen0.0060%
Honroutou0%
Sanshoku doukou0.0090%

Source: 40,000 computer hands on this site (all four at normal level), 33,226 wins. A win usually has several yaku, so the shares add up to more than 100%.

Sanshoku doukou in other mahjong styles

To try it yourself, open a table of free online riichi mahjong — the points are counted for you.

FAQ

How many han is Sanshoku doukou?

Sanshoku doukou is 2 han, and still 2 han when open.

What's the difference from Sanshoku doujun?

Sanshoku doukou is three same-number triplets and keeps its han when open. Sanshoku doujun is three same-number sequences: 2 han closed, 1 open, and far more common.

Can honor tiles make Sanshoku doukou?

No. The three "colors" are the three suits — characters, dots and bamboo.

Try it at the table

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