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[[Image:Aotenjou.jpg|thumb|250px|right|Example aotenjou score.]] | [[Image:Aotenjou.jpg|thumb|250px|right|Example aotenjou score.]] | ||
'''Aotenjou''' {{kana|青天井}} is a rarely used [[Scoring|scoring system]] | '''Aotenjou''' {{kana|青天井}} is a rarely used [[Scoring|scoring system]] where all limits are removed. | ||
Per the scoring equation, [[han]] is factored exponentially in the equation: | |||
: '''Basic points = fu × 2<sup>(2 + han)</sup>''' | : '''Basic points = fu × 2<sup>(2 + han)</sup>''' | ||
Normally, the point equation has a cap applied at [[mangan]] | Normally, the point equation has a cap applied at [[mangan]] (2000 base points), with higher hands being multiples of mangan. | ||
In aotenjou, this cap is removed - each han will double your score. Due to the exponential nature of the scoring system, this can produce astronomically large point values. The modifiers for tsumo, ron, and dealer seat are then applied as normal, increasing the score further. | |||
In addition, yakuman are treated as 13 han yaku, so they can stack with regular yaku and dora. As with regular yaku, any yaku that are implied by the completion of a yakuman are not scored. For example, a suuankou hand does not score sanankou or toitoi, because these are prerequisites for suuankou. | |||
The points can get very large quickly. An 8 han 30 fu ron, worth 16,000 normally, is worth 122,880 in aotenjou. A yakuman ron (40 fu) is 32,000 normally and 5,242,880 in aotenjou. For this very reason, the limits of mangan and yakuman are applied. The numbers are simply too large for practical use. | |||
== Extreme scoring examples == | == Extreme scoring examples == | ||
* [[Kokushi musou]] | * [[Kokushi musou]] | ||
: {{#mjt:19m19p19s1234567z}}+{{#mjt:1p}} | : {{#mjt:19m19p19s1234567z}}+{{#mjt:1p}} | ||
: 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). | : This hand is then scored as 13 han 30 fu (tsumo) or 40 fu (ron). By dealer, it is worth 7,864,400 (ron) or 1,966,080 all (tsumo). | ||
* [[Shousuushii]] + [[Tsuuiisou]] | * [[Shousuushii]] + [[Tsuuiisou]] | ||
: {{#mjt:1112233777z}} {{#mjt:4'44z}} Agari: {{#mjt:2z}} or {{#mjt:3z}} | : {{#mjt:1112233777z}} {{#mjt:4'44z}} Agari: {{#mjt:2z}} or {{#mjt:3z}} | ||
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===Upper limit=== | ===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. | 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. |
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