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Shanten: Difference between revisions
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→Basic shanten
(re-organize the shanten counting methods. in particular, explain how we calculate standard/chiitoitsu/kokushi shanten in their own separate sectiond) |
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=== Basic shanten === | === Basic shanten === | ||
A hand with 13 disconnected tiles would be 8-shanten from the "4 groups + 1 pair" shape, the | A hand with 13 disconnected tiles would be 8-shanten from the "4 groups + 1 pair" shape, and is the highest shanten from that shape. Drawing a [[taatsu]] or [[pair]] will get you a tile closer to tenpai, thus reducing shanten by 1. Completing a taatsu/pair, thus forming a tile group, will reduce shanten by 1 again (2 total). This results in the following calculation: | ||
*Every hand starts at 8-shanten. Each complete group reduces shanten by 2. Each taatsu/pair in hand reduces shanten by 1. | *Every hand starts at 8-shanten. | ||
*Each complete group reduces shanten by 2. Each taatsu/pair in hand reduces shanten by 1. | |||
*However, a mahjong hand requires exactly 4 groups. This means the hand's (taatsu + pairs + groups) count is capped at 4. In other words, if a hand would have more than 4 taatsu/pairs/groups, any taatsu/pair past the 4th won't count. | *However, a mahjong hand requires exactly 4 groups. This means the hand's (taatsu + pairs + groups) count is capped at 4. In other words, if a hand would have more than 4 taatsu/pairs/groups, any taatsu/pair past the 4th won't count. | ||
*In addition to 4 groups, the hand requires at least one pair. So, when (taatsu + pairs + groups) > 4, having at least one pair will reduce shanten by 1. | *In addition to 4 groups, the hand requires at least one pair. So, when (taatsu + pairs + groups) > 4, having at least one pair will reduce shanten by 1. | ||