Taiwanese Mahjong

Taiwanese Mahjong · 4 tai

Half One Suit (Hun Yi Se) in Taiwanese Mahjong: Tai, Examples and Odds

Half One Suit example: three sets of bamboo, a pung of South wind, a pung of green dragons and a pair of 5 bamboo

In Taiwanese mahjong, Half One Suit (混一色, hun yi se) is worth 4 tai: when you win, every suited tile in the whole hand — in your hand and in every claimed or kong set — is from one suit (characters, dots or bamboo), and the rest are honor tiles (winds and dragons).

The only suit is bamboo, plus pungs of South wind and green dragons
On this page
  1. The rules for Half One Suit
  2. Half One Suit vs Pure One Suit vs All Honors
  3. How Half One Suit waits
  4. How Half One Suit is scored
  5. How it relates to other hands
  6. Half One Suit odds
  7. When to go for Half One Suit
  8. Half One Suit in other mahjong styles
  9. FAQ

The rules for Half One Suit

Half One Suit vs Pure One Suit vs All Honors

HandSuited tilesHonorsTai
Half One SuitOne suit onlySome4
Pure One SuitOne suit onlyNone8
All HonorsNoneAll16

They are one family and only the highest counts: neither Pure One Suit nor All Honors adds Half One Suit.

How Half One Suit waits

Honors can be punged but never chowed, so in Half One Suit they are almost always pungs or the pair. Two waits are common:

Punged red dragons; in hand bamboo plus a pair of North wind and a pair of 9 bamboo: waits on North or 9 bamboo

How Half One Suit is scored

The tai below are computed live by the same scoring code the game uses (dealer and dealer-streak tai are added on top).

One suit with honors (混一色)4
Total4 tai

Dealer and dealer-streak tai are added on top.

Chowed 1-2-3 dots, only dots and three West winds in hand, two-sided wait, someone discards 5 dots: Half One Suit only, 4 tai.
Dragon pung (三元牌)1
One suit with honors (混一色)4
Total5 tai

Dealer and dealer-streak tai are added on top.

Punged red dragons, bamboo plus a pair of North wind, someone discards 5 bamboo: Half One Suit plus a dragon pung.
Concealed self-draw (不求人)3
One suit with honors (混一色)4
Total7 tai

Dealer and dealer-streak tai are added on top.

Nothing claimed, characters and three West winds all self-drawn, then a self-drawn 6 characters: Half One Suit plus concealed self-draw.

Common combinations:

CombinationTai
Half One Suit4
Half One Suit + dragon pung5
Half One Suit + concealed self-draw7
Half One Suit + All Pungs8
Half One Suit + Little Three Dragons8
Half One Suit + All Pungs + Big Three Dragons16

How it relates to other hands

Half One Suit odds

How many tiles of one suit plus honors you start with

Half One Suit needs all 17 tiles to be "one suit + honors". A suit has 36 tiles and there are 28 honors, so you have almost twice as many usable tiles as for Pure One Suit, and opening hands are more concentrated. In a 16-tile opening hand, the chance of holding 11 or more tiles of one suit plus honors is about 16%; 12 or more, about 4.9%.

Most tiles of one suit plus honors in the opening handChance
9+ tiles68%
10+ tiles39%
11+ tiles16%
12+ tiles4.9%
13+ tiles1.1%
14+ tiles0.16%

Source: 1,000,000 random 16-tile deals (flowers already replaced).

Is forcing Half One Suit worth it?

We had the computer play on this site's table: in each hand the player with the most "one suit + honors" tiles was forced to go for Half One Suit — throw the other suits first, claim only that suit and honors, and never win with anything else — while the other three played normally. Then we compared the average result with the same starts played normally.

Most tiles of one suit plus honors in the opening handOpening handsMade itSomeone else wonExhaustive drawAvg. result forcing itAvg. result playing normally
8 or fewer591.7%92%6.8%−54+2
91,6481.2%93%5.9%−59−3
106,6942.4%92%5.9%−58−0
117,0324.4%90%5.5%−50−2
12+ tiles4,5679.0%86%5.1%−29+8

Source: computer play on this site. In each of 20,000 hands the seat with the best start forced One suit with honors (混一色); the other three played normally. Money at 100 base + 20 per tai, dealer tai included.

Half One Suit is easier than Pure One Suit, but at a fast table forcing it still loses.

When to go for Half One Suit

When to give up: past the halfway point of the wall you still hold three or more tiles from other suits, or someone else is ready while you are two or more tiles away. To practise the call, open a table of online Taiwanese mahjong — the computer plays with you and scores every hand.

Half One Suit in other mahjong styles

"One suit plus honors" is a standard hand wherever honor tiles exist:

FAQ

How many tai is Half One Suit?

Half One Suit is worth 4 tai in Taiwanese mahjong. It stacks with All Pungs, dragon pungs, round and seat wind, concealed hand, concealed self-draw and more.

Does Half One Suit need honor tiles?

Yes. One suit with no honors at all is Pure One Suit, 8 tai, which never adds Half One Suit as well.

Can I chow or pung in Half One Suit?

Yes. Taiwanese Half One Suit doesn't require a concealed hand; claimed sets just have to be from your suit or honors.

How many tai is Half One Suit with All Pungs?

Half One Suit 4 plus All Pungs 4 is 8 tai; dragon, round-wind or seat-wind pungs add more on top.

Is it Half One Suit if the only honors are the pair?

Yes. Honors as pungs or as the pair both count: one suit plus any honors is Half One Suit.

Try it at the table

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