Aotenjou: Difference between revisions

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 [[Image:Aotenjou.jpg|thumb|250px|right|Example aotenjou score.]]
-'''Aotenjou''' {{kana|青天井}} is a rarely used [[Scoring|scoring system]], by which all caps and limits are removed.  Per the scoring equation, [[han]] is factored exponentially in the equation:
+'''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>'''
-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.
+Normally, the point equation has a cap applied at [[mangan]] (2000 base points), with higher hands being multiples of mangan.
-With aotenjou, there is no limit.  The basic points have the freedom to be valued as high as possible.  The exponential nature of the scoring equation can produce astronomically large point values.  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 per yakuman count; and they 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.
+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.
-Hence, for this very reason, the scoring limits imposed by both mangan and yakuman are normally used.  The numbers are simply too large for practical use under many circumstances.
+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.
-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.
+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 ==
 * [[Kokushi musou]]
 : {{#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]]
 : {{#mjt:1112233777z}} {{#mjt:4'44z}}  Agari: {{#mjt:2z}} or {{#mjt:3z}}
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 ===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.
+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.