Score table memorization

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Scoring Table.png

Despite the size of the scoring table, it is possible to memorize the table, in a manner similar to memorizing a multiplication table. However, any attempt to learn the scoring table is fruitless without knowing particular prerequisites, like basic game procedures and the yaku with their han values. As a recommendation, scoring is among the last of the more basic concepts of the game for any newer player to learn.

Overview

The scoring table can be subdivided into sections. Once a section of the scoring table is learned, then a player can move on to the next section and memorize that one. It is an ongoing process, until the entire table is learned. As it turns out, some sections share similar point values as other sections.

Han and fu

Aside from the point values, hand scores can be expressed in terms of han and fu. Players, who do not know point values, may depend on the combination of these two numbers and then rely on an available scoring table.

Counting han

Counting han is simple memorization of the yaku and their han values. As a reminder, various yaku may stack and combine with other yaku. For each time a hand is scored, it becomes a matter of counting off the applied han.

Counting fu

To count fu, a player must understand how fu is generated. In essence, fu comes from the hand's composition and winning method. Yaku has no bearing on the fu count, aside from required tile compositions of specific yaku. The presence of triplets, kan calls, closed waits (kanchan), and/or pair waits should be enough to prompt a player to look at a hand more carefully to count fu.

The convenience of counting fu rests on rounding up. Even a fu count of 32 fu gets rounded up to 40 fu. So, when counting fu, it is helpful to note when the count crosses a multiple of 10.

Impossible scores

There are no scoring values assigned for 1 han and 20 fu, 1 han and 25 fu, and 2 han and 25 fu (via mentsumo).

  • 1 han and 20 fu (tsumo)
The hand must be a closed pinfu hand. However, it gets paired with mentsumo; so it defaults as 2 han and 20 fu.
  • 1 han and 25 fu
Chiitoitsu is by default worth 2 han and 25 fu. No other yaku worth 1-han can be set at 25 fu.
  • 2 han and 25 fu (tsumo)
Chiitoitsu with mentsumo would be 3 han and 25 fu.
  • 20 fu (ron)
A notable possibility for this value exists for a hand, that may be considered as an "open pinfu". In other words, it is an open hand, that takes the shape of pinfu. Naturally, it is not classed as pinfu, but it still scores 2 fu for an open pinfu. As a result, for "ron" values, 20 fu is impossible; the lowest value possible value is at 1 han and 30 fu.

Scoring patterns

Thankfully, the points arrange themselves into particular patterns.

Point patterns for ron

Overall, the majority of the points in the scoring table pertaining to ron can be learned with these patterned numbers:

  1. 1000 -> 2000 -> 3900 -> 7700
  2. 1300 -> 2600 -> 5200
  3. 1500 -> 2900 -> 5800 -> 11600
  4. 1600 -> 3200 -> 6400
  5. 2400 -> 4800 -> 9600

The sum of tsumo values are equal or almost equal to these particular numbers.

Tsumo values

Points for tsumo total exactly or closely to that of the ron values. When a non-dealer wins by tsumo, then the dealer pays about half the total points. The other half is split among the other two non-dealers equally. For some ron values, the total is easily divisible by 4; where non-dealers each pay exactly half of what the dealer pays. However, some values do not.

Mangan and more

Mangan or greater Dealer Non-Dealer
Name Han Ron Tsumo† Ron Tsumo
Mangan 3 (70+ fu)
4 (40+ fu)
5
12000 4000 8000 4000/2000
Haneman 6 or 7 18000 6000 12000 6000/3000
Baiman 8, 9, or 10 24000 8000 16000 8000/4000
Sanbaiman 11 or 12 36000 12000 24000 12000/6000
Yakuman 13+
Any yakuman
48000 16000 32000 16000/8000
Dealer tsumo applies to all non-dealer players

For mangan 「満貫」 and beyond, a point cap is applied, such that counting fu may not be necessary. Fu is still be counted; but for scoring purposes, it is not necessary to count fu, due to the cap on the basic points calculation. Mangan begins with hands valued at 3 han and 70 fu, 4 han and 40 fu, or 5 han. For each, if the fu count is greater, they are retained at mangan.

So, this section of the scoring table easy to remember. For easier memorization, these higher values possess specific names, namely: haneman, baiman, sanbaiman, and yakuman. Likewise, they are worth factors more than mangan.

  • Haneman 「跳満」 = 50% more than mangan
  • Baiman 「倍満」 = 100% more than mangan (double)
  • Sanbaiman 「三倍満」 = 200% more than mangan (triple)
  • Yakuman 「役満」 = 300% more than mangan (quadruple)

By far, these are the easiest numbers to remember because they are round, convenient numbers. The names for each makes it even easier. Plus, their amounts are highly desired.

Common values

Despite the full range of the entire scoring table, the more frequent score combinations are best to focus on, after the simpler mangan+ scores. The frequent occurrence of the common scores will end up becoming more routine with each scoring hand.

30 and 40 fu

Among the hands valued at 1 han to 4 han, the most common scores involve 30 fu or 40 fu. So, among the han-fu combinations, this is the most logical section to start.

Naturally, the first score to consider involves 1 han and 30 fu. Of all the hand values possible, this is the smallest. While the 20 fu values exist, 1 han and 20 fu does not, as no hand can be valued as such. For non-dealer ron, the points for 1 han and 30 fu is 1000, or senten. For non-dealer tsumo, it is 300/500 or 500/300, which may be referred as gomii.

Position 1 han 30 fu 2 han 30 fu 3 han 30 fu 4 han 30 fu
Non-dealer tsumo
Non-dealer ron
300/500
1000
500/1000
2000
1000/2000
3900
2000/3900
7700
Dealer tsumo
Dealer ron
500
1500
1000
2900
2000
5800
3900
11600
Position 1 han 40 fu 2 han 40 fu 3 han 40 fu
Non-dealer tsumo
Non-dealer ron
400/700
1300
700/1300
2600
1300/2600
5200
Dealer tsumo
Dealer ron
700
2000
1300
3900
2600
7700

25 fu

The 25 fu column involves the yaku, chiitoitsu. This yaku is unique enough, such that it has its own fu column dedicated to it. The uniqueness stems from its own hand pattern, as it does not follow the typical "4 tile groups and a pair" pattern like most hands. Unlike the general rule to counting fu, the fu for chiitoitsu is not rounded. Instead, it remains at 25 fu. This is set by definition.

Position 2 han 3 han 4 han
Non-dealer tsumo
Non-dealer ron
400/800
1600
800/1600
3200
1600/3200
6400
Dealer tsumo
Dealer ron
800
2400
1600
4800
3200
9600

Once again, a chiitoitsu valued at 5 han or greater follows the "mangan" scoring pattern.

Point equivalences

Various point values are equivalent among the different han and fu combinations. By recognizing the equivalences, this eases the task of memorization, when one section or column of the scoring table is learned.

In general, if a fu count is divisible by 2 and a fu column of that result exists, then the points are equivalent to a han-fu combination of 1+ han. For example, 3 han and 60 fu is equivalent to 4 han and 30 fu. Both han and fu combinations score 7700 points for non-dealer ron, 11600 for dealer ron, 2000/3900 for non-dealer tsumo, and finally 3900 from all for dealer tsumo. Various other similar scoring equivalences exist throughout the scoring table. In a sense, as long as one learns the 25 fu, 30 fu, and 40 fu score columns, then most of the other fu columns fall on simple equivalency.

20 fu and 40 fu

Hands with 20 fu only applies to pinfu with mentsumo. This yaku is defined as a hand that does not earn fu. Although, it still earns the 10 fu with closed ron. Otherwise, the hand does not produce fu by any other means.

Position 1 han 40 fu = 2 han 20 fu 2 han 40 fu = 3 han 20 fu 3 han 40 fu = 4 han 20 fu
Non-dealer tsumo
Non-dealer ron
400/700
1300
700/1300
2600
1300/2600
5200
Dealer tsumo
Dealer ron
700
2000
1300
3900
2600
7700

25 fu and 50 fu

Now, 25 fu can be doubled to 50 fu. So, knowing the "chiitoitsu" point values, one would already know the 50 fu column.

Position 2 han 25 fu = 1 han 50 fu 3 han 25 fu = 2 han 50 fu 4 han 25 fu = 3 han 50 fu
Non-dealer tsumo
Non-dealer ron
800/400
1600
1600/800
3200
3200/1600
6400
Dealer tsumo
Dealer ron
800
2400
1600
4800
3200
9600

Continuing the equivalences place the point values at mangan.

30 fu and 60 fu

Position 2 han 30 fu = 1 han 60 fu 3 han 30 fu = 2 han 60 fu 4 han 30 fu = 3 han 60 fu
Non-dealer tsumo
Non-dealer ron
500/1000
2000
1000/2000
3900
2000/3900
7700
Dealer tsumo
Dealer ron
1000
2900
2000
5800
3900
11600

70 fu and more

This portion of the scoring table is the least used. Hands scored at 70+ fu rarely occur; but they most certainly do occur. To score 70+ fu, the hand needs the large amount of fu generated by closed kan involving terminal or honor tiles. Otherwise, the hand may also involve any multiple kan calls. Furthermore, the 70+ fu scores only apply to 1 or 2 han hands. With 3 han or more, the value is already set to mangan.

Dealer Non-Dealer
70 80 90 100 110 70 80 90 100 110
1 han 1200
3400
1300
3900
1500
4400
1600
4800
1800
5300
600/1200
2300
700/1300
2600
800/1500
2900
800/1600
3200
900/1800
3600
2 han 2300
6800
2600
7700
2900
8700
3200
9600
3600
10600
1200/2300
4500
1300/2600
5200
1500/2900
5800
1600/3200
6400
1800/3600
7100

Point equivalences continue to apply for the 40 fu and 80 fu column, as well as the 50 fu and 100 fu column. The columns for 70 fu, 90 fu, and 110 fu all produce unique point values not found elsewhere on the scoring table. Therefore, those may have to be memorized on their own. Again, they do not occur frequently; so it is best and practical to learn these values after learning the rest of the scoring table.

40 fu and 80 fu

Position 2 han 40 fu = 1 han 80 fu 3 han 40 fu = 2 han 80 fu
Non-dealer tsumo
Non-dealer ron
700/1300
2600
1300/2600
5200
Dealer tsumo
Dealer ron
1300
3900
2600
7700

50 fu and 100 fu

Position 2 han 50 fu = 1 han 100 fu 4 han3 han 50 fu = 2 han 100 fu
Non-dealer tsumo
Non-dealer ron
800/1600
3200
1600/3200
6400
Dealer tsumo
Dealer ron
1600
4800
3200
9600

Once again, these two values are directly linked to the chiitoitsu values. However, these han and fu combinations do not apply to chiitoitsu. As a reminder, the equivalences are (2 han 50 fu = 3 and 25 fu) and (3 han 50 fu = 4 and 25 fu).

External links

Score table memorization in Japanese Wikipedia