MODULE 13

Fu Calculation (符計算)

13.1 What Is Fu?

Fu (符) is the secondary scoring component that reflects the specific composition of a winning hand. While han measures the "quality" of your yaku, fu measures the structural details: what types of melds you have, what your wait type was, how you won, and what your pair is. Fu is always rounded up to the nearest 10. For hands worth 5+ han, fu becomes irrelevant (the score jumps to fixed mangan/haneman tiers). Fu matters most for hands in the 1-4 han range, where it can significantly affect the final score.

13.2 Fu Calculation Components

Base Fu (副底)

ConditionFu
Every winning hand20 fu base
Closed ron (門前ロン)+10 fu
Tsumo win+2 fu (except pinfu tsumo, which is fixed at 20 fu total)

The base is always 20 fu. A closed hand winning by ron adds 10 fu (for a starting total of 30). A tsumo win adds 2 fu. An open hand winning by ron gets only the base 20 fu.

Meld Fu (面子の符)

Meld TypeSimples (2-8)Terminals/Honors (1,9,字牌)
Open triplet (明刻, minkou)2 fu4 fu
Closed triplet (暗刻, ankou)4 fu8 fu
Open kan (明槓)8 fu16 fu
Closed kan (暗槓)16 fu32 fu
Sequences (順子)0 fu (always)

Sequences contribute zero fu. Only triplets and kans add fu, with the amount depending on whether the meld is open or closed and whether the tiles are simples or terminals/honors. Closed terminal kans (32 fu) are the highest single meld contribution and are exceptionally rare.

Wait Fu (待ちの符)

Wait TypeFu
Ryanmen (両面)0 fu
Shanpon (双碰)0 fu
Kanchan (嵌張)2 fu
Penchan (辺張)2 fu
Tanki (単騎)2 fu

Pair Fu (雀頭の符)

Pair TileFu
Simples or non-yakuhai winds0 fu
Dragons (三元牌)2 fu
Seat wind (自風)2 fu
Round wind (場風)2 fu
Double wind (seat + round)2 fu or 4 fu (varies by ruleset)

Double wind pair fu: When a pair is both your seat wind and the round wind (e.g., East pair as East player in the East round), some rulesets count 2 fu and others count 4 fu. This affects edge scoring cases. Online platforms vary; check your platform's rules.

13.3 Special Cases

Pinfu (平和): Pinfu is defined as a hand with 0 fu from structure (all sequences, ryanmen wait, non-yakuhai pair). When won by ron, it is 30 fu (20 base + 10 closed ron). When won by tsumo, it is fixed at 20 fu by convention—the normal +2 tsumo fu is waived to maintain pinfu's identity as a "0 fu hand." This 20-fu tsumo case is the only time fu can be 20.

Chiitoitsu (七対子): Always fixed at 25 fu, regardless of tile composition. This is the only time fu is not rounded to a multiple of 10.

Open hand with no fu features: An open hand of all sequences, ryanmen wait, non-yakuhai pair, winning by ron would calculate to 20 fu base + 0 from everything else = 20 fu. Since pinfu requires a closed hand, this is NOT pinfu. By convention, this is rounded up to 30 fu (some sources state this as a rule; others handle it through the general "minimum 30 fu for non-pinfu-tsumo" convention).

13.4 Worked Example

Hand: Closed hand, winning by ron on 6s.

2m 3m 4m | 5p 5p 5p | 4s 5s [6s] | 7z 7z 7z | 3z 3z

Calculation:

Base: 20 fu

Closed ron: +10 fu

5p-5p-5p: closed triplet of simples → +4 fu

7z-7z-7z: closed triplet of honors → +8 fu

Wait (4s-5s waiting on 3s or 6s): ryanmen → +0 fu

Pair (3z, West wind): If West is not seat or round wind → +0 fu

Total: 20 + 10 + 4 + 8 + 0 + 0 = 42 fu → rounded up to 50 fu

13.5 Fu Memorization Tips

Most hands fall into common fu patterns. Rather than calculating every hand from scratch, experienced players recognize patterns:

30 fu: All-sequence hands (pinfu-like structures) won by closed ron; or simple open hands.

40 fu: One closed triplet of simples added to a 30-fu base, or a kanchan/penchan/tanki wait on a closed-ron hand.

25 fu: Chiitoitsu only.

For 5+ han hands, don't bother calculating fu—it doesn't affect the score.

QUIZ — Question 13.1

An open hand wins by ron. It contains: chi 2p3p4p, chi 5s6s7s, pon of haku (5z5z5z open), sequence 3m4m5m in hand, pair 8m8m. The wait was ryanmen on the 3m-4m-5m group. How much fu?

  • A. 30 fu
  • B. 40 fu
  • C. 20 fu
  • D. 50 fu

Answer: A. Base: 20 fu. Open hand ron: +0 (no closed ron bonus). Open pon of haku (honor): +4 fu. Sequences: +0. Ryanmen wait: +0. Non-yakuhai pair (8m): +0. Total: 20 + 4 = 24, rounded up to 30 fu.

13.6 Fu in Practice — Common Patterns to Memorize

Rather than calculating fu from scratch every time, experienced players memorize the most common fu outcomes. Ide Yousuke (井出洋介), in his scoring guides published through multiple editions, recommends memorizing these patterns:

Hand PatternWin MethodTypical FuNotes
All sequences, ryanmen wait, non-yakuhai pairClosed ron30Pinfu pattern
All sequences, ryanmen wait, non-yakuhai pairTsumo20Pinfu tsumo (special)
All sequences, kanchan or penchan waitClosed ron4030 base + 2 wait + round up
One closed triplet of simplesClosed ron4030 base + 4 ankou + round up
One closed triplet of terminals/honorsClosed ron4030 base + 8 ankou
Open hand, all sequences, ryanmenRon30Minimum (some rules say no 20 fu open)
Chiitoitsu (seven pairs)Any25Always fixed, regardless of tiles

For hands at 5+ han, fu does not affect the score (it is mangan or above regardless), so calculating fu is unnecessary. The practical significance of fu is primarily for 1-4 han hands, where the difference between 30 and 40 fu (or 40 and 50) can change the payment by 25-50%.

13.7 Beginner Exercise — Calculate the Fu

Hand: Open hand (one chi), ron win.

2m 3m 4m | 5p 5p 5p | 7s 8s 9s | 1z 1z 1z | 6p 6p

Chi: [2m-3m-4m] is open. Pon: [1z-1z-1z] is... wait, the problem says one chi. Let us say chi [2m-3m-4m] open, and [1z-1z-1z] was formed by pon (also open). The [5p-5p-5p] is in the concealed hand (closed triplet). Won by ron on 9s (completing [7s-8s-9s]). Pair: [6p-6p].

Calculation: Base: 20 fu. Open hand ron: +0 (no closed ron bonus). [5p-5p-5p] closed triplet of simples: +4 fu. [1z-1z-1z] open triplet of honors: +4 fu. Sequences: +0 each. Wait type: 7s-8s was waiting on 6s or 9s (ryanmen): +0 fu. Pair [6p-6p]: non-yakuhai simples pair: +0 fu.

Total: 20 + 0 + 4 + 4 + 0 + 0 + 0 = 28 → rounded up to 30 fu.

Source notes: Fu calculation rules are standardized across Japanese riichi mahjong. The fu values for melds, waits, and pairs are consistent across all major Japanese references. The pinfu-tsumo = 20 fu convention and chiitoitsu = 25 fu convention are universally applied. The double-wind pair fu controversy (2 vs 4) is a known variation point documented in Japanese rule comparison sources.