Difference between revisions of "Aotenjou"

From Japanese mahjong wiki
Jump to: navigation, search
m (Upper limit: Those fu don't exist.)
(Upper limit: Example was missing base fu! Also added maximal fu example.)
Line 34: Line 34:
 
{{#mjt:3z}} {{#mjt:0110z}} {{#mjt:0550z}} {{#mjt:0660z}} {{#mjt:0770z}}, tsumo agari {{#mjt:3z}} dora {{#mjt:04444z}} uradora {{#mjt:02222z}}
 
{{#mjt:3z}} {{#mjt:0110z}} {{#mjt:0550z}} {{#mjt:0660z}} {{#mjt:0770z}}, tsumo agari {{#mjt:3z}} dora {{#mjt:04444z}} uradora {{#mjt:02222z}}
  
This hand's fu value would be calculated with:
+
This hand's fu value would be calculated as:
* 32 fu for closed terminal/honor kan * 4 kan = 128 fu
+
* base fu: 20 fu
* 2 fu for tanki wait = 130 fu
+
* pair wait: 2 fu
* 2 fu for menzen tsumo = 132 fu, for a total of 140 fu.
+
* tsumo: 2 fu
The han value of this hand would be calculated with:
+
* composition of hand:
* 13 han for [[Daisangen]] = 13 han
+
** {{#mjt:1z}} closed quad: 32
* 13 han for [[Tsuuiisou]] = 26 han
+
** {{#mjt:5z}} closed quad: 32
* 13 han for [[Suukantsu]] = 39 han
+
** {{#mjt:6z}} closed quad: 32
* 26 han for [[Suuankou|Suuankou Tanki]] = 65 han
+
** {{#mjt:7z}} closed quad: 32
* 1 han for [[Riichi]] = 66 han
+
Total 152 fu, round up to 160
* 1 han for [[Ippatsu]] = 67 han
+
 
* 1 han for [[Menzenchin_tsumohou|Tsumo]] = 68 han
+
The han value of this hand would be calculated as:
* 1 han for [[Haitei_raoyue|Haitei Raoyue]] = 69 han
+
* [[daisangen]]: 13 han
* 2 han for [[Yakuhai|Double Ton]] = 71 han
+
* [[tsuuiisou]]: 13 han
* 24 han for 24 [[Dora]] = 95 han
+
* [[sankantsu]]: 13 han
The basic points of this hand would be {{sciencenotation|2.22|31}} and the dealer upon tsumo would receive {{sciencenotation|1.33|32}} points.
+
* [[suuankou tanki]]: 26 han
 +
* [[riichi]]: 1 han
 +
* [[ippatsu]]: 1 han
 +
* [[tsumo]]: 1 han
 +
* [[haitei raoyue]]: 1 han
 +
* [[yakuhai|double east]]: 2 han
 +
* 24 dora: 24 han
 +
Total 95 han
 +
 
 +
The base points value of this hand would be {{sciencenotation|2.54|31}} and the dealer would receive {{sciencenotation|5.07|31}} points from each player, for a total of {{sciencenotation|1.52|32}} points.
 +
 
 +
The highest possible fu count is 170, as in the following example for the south player in the south round:
 +
 
 +
:{{#mjt:2z}} {{#mjt:0440z}} {{#mjt:0z99s0z}} {{#mjt:0660z}} {{#mjt:0z11m0z}} Ron: {{#mjt: 2z}}
 +
 
 +
* base fu: 20
 +
* closed ron: 10
 +
* pair wait: 2
 +
* composition of hand:
 +
** {{#mjt:4z}} closed quad: 32
 +
** {{#mjt:9s}} closed quad: 32
 +
** {{#mjt:6z}} closed quad: 32
 +
** {{#mjt:1m}} closed quad: 32
 +
** {{#mjt:2z}} double wind pair: 4
 +
Total 164, round up to 170
  
 
== External links ==
 
== External links ==

Revision as of 16:12, 16 July 2015

Example aotenjou score.

Aotenjou 「青天井」 is a non-standard scoring system, by which all caps and limits are removed. Per the scoring equation, han is factored exponentially in the equation:

Basic points = fu × 2(2 + han)

Normally, the point equation has a cap applied at mangan, where the basic points is artificially maxed at 2000 points. Subsequent point values are then multiples of mangan for higher scoring hands.

With aotenjou, there is essentially no limit. The basic points have the freedom to be valued as high as possible, as the mangan limit is removed. Under aotenjou, scoring produces some ridiculously high numbers. Points are even much higher in conjunction with the multipliers applied for the dealer, non-dealer, and ron vs. tsumo wins. All yaku retain their original values. In additionally, yakuman patterns are defaulted at 13 han and are treated like normal yaku when determining the overall han and fu values. Furthermore, any han applied by dora counts as well to further increase the point values.

Hence, for this very reason, the scoring limits imposed by both mangan and yakuman are normally used.

Under aotenjou rules, yaku that are implied by the completion of another yaku are not counted as additional han for the purposes of scoring. For example, suuankou's 13 han is not combined with sanankou's 2 han because sanankou is a prerequisite for suuankou.

Extreme scoring examples

Tile-1m.pngTile-9m.pngTile-1p.pngTile-9p.pngTile-1s.pngTile-9s.pngTile-1z.pngTile-2z.pngTile-3z.pngTile-4z.pngTile-5z.pngTile-6z.pngTile-7z.png+Tile-1p.png
This hand is then scored as 13 han 30 or 40 fu. By dealer, it is worth 7,864,400 (ron) or 1,966,080 all (tsumo).
Tile-1z.pngTile-1z.pngTile-1z.pngTile-2z.pngTile-2z.pngTile-3z.pngTile-3z.pngTile-7z.pngTile-7z.pngTile-7z.png Tile-4z-e.pngTile-4z.pngTile-4z.png Agari: Tile-2z.png or Tile-3z.png
With aotenjou, every aspect of this hand is considered, not just the yakuman patterns. This hand also includes the regular yaku of toitoi and sanankou as well as two or three yakuhai when applicable. This hand stands at 31 han and 50 fu via tsumo:
  • 13 han from shousuushii
  • 13 han from tsuuiisou
  • 2 han from sanankou
  • 3 han from the maximum number of yakuhai possible
  • Basic points: 4.29 × 1011

Any dora to these examples definitely increases the hand even further.

Upper limit

The exponential basic points equation does have an upper limit, imposed by the maximum possible han and fu combination. This cap only exists due to the maximum capacity with the finite tile count per hand. So, it can only be broken if the number of tiles in the hand can be increased. Per the rule variations, the rules are applied to produce the maximum hand possible.

In a hypothetical ruleset with double yakuman, the maximum scoring hand would consist of the following, assuming the player is dealer, it's the East round, and with the yaku of riichi, ippatsu, tsumo, haitei.

Tile-3z.png Tile-unknown.pngTile-1z.pngTile-1z.pngTile-unknown.png Tile-unknown.pngTile-5z.pngTile-5z.pngTile-unknown.png Tile-unknown.pngTile-6z.pngTile-6z.pngTile-unknown.png Tile-unknown.pngTile-7z.pngTile-7z.pngTile-unknown.png, tsumo agari Tile-3z.png dora Tile-unknown.pngTile-4z.pngTile-4z.pngTile-4z.pngTile-4z.png uradora Tile-unknown.pngTile-2z.pngTile-2z.pngTile-2z.pngTile-2z.png

This hand's fu value would be calculated as:

  • base fu: 20 fu
  • pair wait: 2 fu
  • tsumo: 2 fu
  • composition of hand:
    • Tile-1z.png closed quad: 32
    • Tile-5z.png closed quad: 32
    • Tile-6z.png closed quad: 32
    • Tile-7z.png closed quad: 32

Total 152 fu, round up to 160

The han value of this hand would be calculated as:

Total 95 han

The base points value of this hand would be 2.54 × 1031 and the dealer would receive 5.07 × 1031 points from each player, for a total of 1.52 × 1032 points.

The highest possible fu count is 170, as in the following example for the south player in the south round:

Tile-2z.png Tile-unknown.pngTile-4z.pngTile-4z.pngTile-unknown.png Tile-unknown.pngTile-9s.pngTile-9s.pngTile-unknown.png Tile-unknown.pngTile-6z.pngTile-6z.pngTile-unknown.png Tile-unknown.pngTile-1m.pngTile-1m.pngTile-unknown.png Ron: Tile-2z.png
  • base fu: 20
  • closed ron: 10
  • pair wait: 2
  • composition of hand:
    • Tile-4z.png closed quad: 32
    • Tile-9s.png closed quad: 32
    • Tile-6z.png closed quad: 32
    • Tile-1m.png closed quad: 32
    • Tile-2z.png double wind pair: 4

Total 164, round up to 170

External links

青天井 in Japanese Wikipedia