Chinese Official Mahjong

Chinese Official Mahjong · 12 pt

Knitted Straight in Chinese Official Mahjong (MCR): Points, Examples and Odds

Knitted Straight example: 1 4 7 characters, 2 5 8 dots, 3 6 9 bamboo, plus 2 3 4 characters and a pair of 5 bamboo

In Chinese Official Mahjong, Knitted Straight (组合龙) is worth 12 points: each suit contributes one "every third tile" group — one suit 147, one 258, one 369 — nine tiles in all, such as 1-4-7 characters, 2-5-8 dots and 3-6-9 bamboo. In a winning hand these nine tiles count as three sets, so you add one more chow or pung and a pair; or they can sit inside Lesser Honors and Knitted Tiles.

1 4 7 characters, 2 5 8 dots, 3 6 9 bamboo as three sets, plus 2 3 4 characters and a pair of 5 bamboo
On this page
  1. The rules
  2. Building it
  3. Scoring examples
  4. How it relates to other fan
  5. Odds
  6. When to go for it
  7. FAQ

The rules

Knitted Straight itself excludes no other fan.

Building it

Scoring examples

Every hand below is scored live by this site's scoring engine — the same code as the game — including the fan left out by the non-repeat rules.

Knitted Straight12
Concealed Hand2
All Chows2
Single Wait1
Total17 pt

Reaches the 8-point minimum — a legal win.

Not counted (implied by a bigger fan): No Honors

Knitted straight + 2 3 4 characters + a pair of 5 bamboo, single wait on the 5: Knitted Straight plus Concealed Hand and All Chows.
Knitted Straight12
All Types6
Dragon Pung2
Concealed Hand2
Single Wait1
Total23 pt

Reaches the 8-point minimum — a legal win.

Knitted straight + a Red Dragon pung + a pair of East: all five types, plus Dragon Pung.
Knitted Straight12
All Types6
Dragon Pung2
Single Wait1
Total21 pt

Reaches the 8-point minimum — a legal win.

The extra set can be claimed: a punged Green Dragon, with the nine knitted tiles in hand.
Knitted Straight12
Fully Concealed Hand4
All Chows2
Total18 pt

Reaches the 8-point minimum — a legal win.

Not counted (implied by a bigger fan): No Honors、Self-Drawn

Self-drawn 3 bamboo completes the knitted straight: Knitted Straight plus Fully Concealed Hand and All Chows.

How it relates to other fan

Odds

Knitted Straight is a route this site's MCR AI uses a lot: in 4,000 games of normal play it appeared in 8.0% of all wins (including knitted-honors hands with a full straight), averaging 17.5 points, 27% self-drawn.

How far an opening hand is from a knitted straight shows in how many different tiles of one knitted pattern plus honors it holds (the same number also tracks progress toward the knitted honors hand):

Different tiles of one knitted pattern + honors in the opening handChance
7+ kinds65%
8+ kinds30%
9+ kinds7.9%
10+ kinds1.1%
11+ kinds0.09%
12+ kinds0.00%

Source: 1,000,000 random 13-tile deals (flowers already replaced).

When to go for it

Try it at a real table — play Chinese Official Mahjong online against the AI, with every point counted for you.

FAQ

How many points is Knitted Straight?

12 points in Chinese Official Mahjong — enough for the 8-point minimum on its own; with Lesser Honors and Knitted Tiles it's 24 points.

Can I chow tiles for a Knitted Straight?

Not the nine knitted tiles — they must be in your hand. The other set can be chowed, punged or konged.

Can Knitted Straight score All Chows?

In this site's engine, yes: the knitted straight counts as three chows, so with a chow as the other set and a suited pair you add All Chows for 2 points. The rulebook doesn't spell this out, and some tournaments rule otherwise.

What's the difference from Mixed Straight?

Knitted Straight is 147, 258, 369 in three suits (12 points); Mixed Straight is three chows 123, 456, 789 in three suits (8 points), and those can be claimed.

Try it at the table

Chinese Official Mahjong — Play Chinese Official Mahjong (Mahjong Competition Rules, MCR) free in your browser against three computer opponents. 8-point minimum, all 81 fan scored automatically with the official non-repeat rules. No sign-up, works on phone and desktop.

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