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Shousangen: Difference between revisions
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'''Shousangen''' {{kana|小三元}} is a standard [[List of yaku|yaku]], reliant on all three [[sangenpai]]. | '''Shousangen''' {{kana|小三元}} is a standard [[List of yaku|yaku]], reliant on all three [[sangenpai]] (dragon tiles). The hand is composed of two [[Mentsu#Koutsu|koutsu]] (triplet) and a [[jantou]] (pair) of the third type. | ||
==Tile pattern== | ==Tile pattern== | ||
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{{#mjt:22m340p77666z}} {{#mjt:55'5z}} Yasume: {{#mjt:2m}} Takame: {{#mjt:7z}} | {{#mjt:22m340p77666z}} {{#mjt:55'5z}} Yasume: {{#mjt:2m}} Takame: {{#mjt:7z}} | ||
This hand is a shousangen while winning on the [[yasume|cheaper winning tile]]. | This hand is a shousangen while winning on the [[yasume|cheaper winning tile]]. If it wins on the other tile, {{#mjt:7z}}, it would give a [[daisangen]] yakuman instead. | ||
==Development== | ==Development== | ||
The hand requires two out of the four tile groups to be composed of dragon triplets, while the pair is always of the third type. | The hand requires two out of the four tile groups to be composed of dragon triplets, while the pair is always of the third type. That leaves two tile groups to be based off of any tile composition. Often enough but not always, such a hand may be tenpai for daisangen. | ||
=== Compatibility === | === Compatibility === | ||
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{{Yaku compatibility table|SSG}} | {{Yaku compatibility table|SSG}} | ||
Shousangen requires | Shousangen requires two of the four tile groups to be dragon triplets, leaving no room for [[ittsu]], [[ryanpeikou]], [[sanshoku]], and [[sanshoku doukou]] (which all require three groups). [[Chiitoitsu]] forbids metsu and is similarly incompatible. Naturally, [[pinfu]], [[tanyao]], [[junchan]], and [[chinitsu]] are incompatible because of the dragon tiles. | ||
Every shousangen hand always scores at least two yakuhai from the two dragon triplets. Normally, when a yaku is guaranteed by another yaku, the guaranteed yaku is not scored. However, because shousangen does not guarantee any particular yakuhai (i.e., it does not guarantee "haku", "hatsu", or "chun"), the two yakuhai are scored. | |||
==Value== | ==Value== | ||
Shousangen is usually denoted as a 2 han yaku. However, because it is impossible to score shousangen without at least two yakuhai, shousangen is effectively worth 4 han. | |||
The lowest scoring shousangen is | The two yakuhai triplets are worth a minimum of 4 fu each, and the yakuhai pair is worth 2 fu. Therefore, the lowest scoring shousangen is 4 han 30 fu, barely shy of [[mangan]]. The requirements to reach 4 han 30 fu, assuming no additional yaku, are: | ||
* The hand must be won by ron, as a tsumo would score 2 fu. | * The hand must be won by ron, as a tsumo would score 2 fu. | ||
* The wait must be either a [[ryanmen]] or [[shanpon]] wait, as any other wait would score 2 fu. | * The wait must be either a [[ryanmen]] or [[shanpon]] wait, as any other wait would score 2 fu. | ||
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* Neither of the yakuhai groups may be [[kantsu]], as they would score additional fu as kantsu. | * Neither of the yakuhai groups may be [[kantsu]], as they would score additional fu as kantsu. | ||
Two examples scoring exactly 4 han 30 fu | Two examples scoring exactly 4 han 30 fu: | ||
{{#mjt:234p34s66z}} {{#mjt:555'z}} {{#mjt:7'77z}} | {{#mjt:234p34s66z}} {{#mjt:555'z}} {{#mjt:7'77z}} Ron: {{#mjt:5s}} | ||
{{#mjt:567m123s6677z}} {{#mjt:55'5z}} | {{#mjt:567m123s6677z}} {{#mjt:55'5z}} Ron: {{#mjt:6z}} | ||
==External links== | ==External links== | ||