Chinese Official Mahjong

Chinese Official Mahjong · 12 pt

Upper Four in Chinese Official Mahjong (MCR): Points, Examples and Odds

Upper Four example: 6-7-8 characters, 6-7-8 dots, 7-8-9 bamboo, a pair of 9 characters and a pung of 6 bamboo

In Chinese Official Mahjong, Upper Four (大于五, "greater than five") is worth 12 points: when you win, every tile — in hand and in exposed chows, pungs and kongs — is a 6, 7, 8 or 9 of characters, dots or bamboo, with no honors. On its own it clears the 8-point minimum.

6-7-8 characters, 6-7-8 dots, 7-8-9 bamboo, a pung of 6 bamboo, pair of 9 characters: every tile is above five
On this page
  1. The rules for Upper Four
  2. What Upper Four does not combine with
  3. How Upper Four is scored
  4. Related fans
  5. How often does Upper Four happen?
  6. When to go for Upper Four
  7. FAQ

The rules for Upper Four

What Upper Four does not combine with

If the hand uses only 7, 8 and 9, it becomes Upper Tiles (24 points) instead, and Upper Tiles does not also count Upper Four.

How Upper Four is scored

The points below are calculated live by this site's scoring engine — the same one the game uses — including the fans dropped under the non-repeat rule.

Upper Four12
Concealed Hand2
Mixed Double Chow1
Total15 pt

Reaches the 8-point minimum — a legal win.

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

Concealed hand waiting on the 9-character or 6-bamboo pair, won on a discarded 6 bamboo: Upper Four plus Mixed Double Chow.
Upper Four12
Concealed Hand2
Two Concealed Pungs2
All Simples2
Mixed Double Chow1
Total19 pt

Reaches the 8-point minimum — a legal win.

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

Only 6s, 7s and 8s: Upper Four plus All Simples and Two Concealed Pungs.

Common combinations:

CombinationPoints
Upper Four + All Simples (no 9)14
Upper Four + Mixed Triple Chow20
Upper Four + Seven Pairs36
Upper Four + All Pungs18

Related fans

How often does Upper Four happen?

6, 7, 8 and 9 make 48 tiles across the three suits, about a third of the 136, so an opening hand landing entirely inside them is very unusual; Upper Four means swapping out every low tile and honor along the way. Upper Four is not one of the target patterns of this site's AI and only appears by accident: in 3,849 AI wins it appeared 2 times. The sample is too small for a rate; it is rare.

When to go for Upper Four

When to give up: you still hold three or more tiles of 5 or lower and have nothing else to build on. To try it yourself, play Chinese Official Mahjong online — the scoring is automatic.

FAQ

How many points is Upper Four?

Upper Four is worth 12 points in Chinese Official Mahjong. No Honors is not counted on top.

Can Upper Four include a 5?

No. "Greater than five" excludes the 5; only 6, 7, 8 and 9 are allowed.

What is the difference between Upper Four and Upper Tiles?

Upper Four allows 6s and scores 12 points; Upper Tiles allows only 7, 8 and 9 and scores 24 points. With Upper Tiles, Upper Four is no longer counted.

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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