Aotenjou: Difference between revisions

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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]] where all limits are removed.
'''Aotenjou''' {{kana|青天井}} is a rarely used [[Scoring|scoring system]] where all limits are removed, meaning that scoring is entirely quadratic.


Per the scoring equation, [[han]] is factored exponentially in the equation:
== Rule overview ==
Under the scoring equation, [[han]] is factored as follows:


: '''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]] (2000 base points), with higher hands being multiples of mangan.
In the regular scoring system, this equation is capped at 2000 basic points ([[mangan]]), with higher hands being multiples of mangan.


In aotenjou, this cap is removed - each han will double your score indefinitely. 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 aotenjou, this mangan cap is removed, meaning that each han will double your score indefinitely. Due to the quadratic 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. For example, 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.


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.
In addition, yakuman are treated as 13 han yaku in aotenjou, 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 in standard rules; the numbers are simply too large for practical use.


== Extreme scoring examples ==
== Extreme scoring examples ==
1,888

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