Aotenjou: Difference between revisions

m
no edit summary
mNo edit summary
(19 intermediate revisions by 6 users not shown)
Line 1: Line 1:
[[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 non-standard [[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>'''
: '''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.
 
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.  


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.
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.


Hence, for this very reason, the scoring limits imposed by both mangan and yakuman are normally used.
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 ==
* [[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 scored as 13 han 40 fu (ron) or 14 han 30 fu (tsumo, counting [[mentsumo]]). 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}}
: In addition to the two yakuman patterns, this hand also includes the regular yaku of [[toitoi]] as well as two or three [[yakuhai]] when applicable.  This hand stands at 33 han and 50 fu via tsumo:
: 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 shousuushii
:* 13 han from tsuuiisou
:* 13 han from tsuuiisou
:* 2 han from [[toitoi]]
:* 2 han from [[sanankou]]
:* 2 han from [[sanankou]]
:* 3 han from the maximum number of [[yakuhai]]
:* 3 han from the maximum number of [[yakuhai]] possible
:* Basic points: {{sciencenotation|1.72|12}}
:* Basic points: {{sciencenotation|4.29|11}}
 
Any [[dora]] to these examples definitely increases the hand even further.
 
===Upper limit===
Because a 14-tile hand can only score so many han and fu, there is a maximum score that a single hand can obtain in aotenjou.
 
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.
 
{{#mjt:5z}} {{#mjt:0110z}} {{#mjt:0330z}} {{#mjt:0660z}} {{#mjt:0770z}}, tsumo agari {{#mjt:5z}} dora {{#mjt:54444z}} uradora {{#mjt:52222z}}
 
This hand's fu value would be calculated as:
* base fu: 20 fu
* pair wait: 2 fu
* tsumo: 2 fu
* composition of hand:
** {{#mjt:1z}} closed quad: 32
** {{#mjt:3z}} closed quad: 32
** {{#mjt:6z}} closed quad: 32
** {{#mjt:7z}} closed quad: 32
** {{#mjt:5z}} yakuhai pair: 2
Total 154 fu, round up to 160
 
The han value of this hand would be calculated as:
* [[tsuuiisou]]: 13 han
* [[suukantsu]]: 13 han
* [[suuankou tanki]]: 26 han
* [[riichi]]: 1 han
* [[ippatsu]]: 1 han
* [[tsumo]]: 1 han
* [[haitei raoyue]]: 1 han
* [[yakuhai|double east]]: 2 han
* [[yakuhai|dragons]]: 2 han
* [[shousangen]]: 2 han
* 40 dora: 40 han
Total 102 han
 
The base points value of this hand would be {{sciencenotation|3.25|33}} and the dealer would receive {{sciencenotation|6.50|33}} points from each player, for a total of {{sciencenotation|1.95|34}} 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
 
==Yakuman/Yaku Compability==
{{Main|Yaku compatibility}}
 
Certain yakuman imply certain yaku, and thus they cannot be scored together:
 
*[[Suuankou]]: [[Sanankou]], [[toitoi]]
*[[Kokushi]]: [[Honroutou]]
*[[Daisangen]]: The three dragon [[yakuhai]]
*[[Tsuuiisou]]: [[Honroutou]], [[chanta]]
*[[Daisuushii]]: [[Shousuushii]], [[round wind]], [[seat wind]], [[toitoi]]
*[[Chinroutou]]: [[Honroutou]], [[junchan]], [[chanta]], [[toitoi]]
*[[Ryuuiisou]]: [[Honitsu]], If hatsu is forbidden: [[chinitsu]]
*[[Chuuren poutou]]: [[Chinitsu]], [[honitsu]]
*[[Tenhou and chiihou]]: [[Mentsumo]]
*[[Suukantsu]]: [[Sankantsu]], [[toitoi]]
 
These may be subject to further rule variation. For example, if daichiishin (Tsuuiisou + chiitoitsu) is considered an entirely separate yakuman, then regular tsuuiisou cannot score toitoi. The same applies to suuankou + mentsumo if suuankou tanki is its own yakuman.


== External links ==
== External links ==
{{jpwiki|青天井ルール|青天井}}


[[Category:Terminology]]
[[Category:Terminology]]
[[Category:Game rules]]
[[Category:Game rules]]
1,696

edits