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Tile efficiency: Difference between revisions
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A hand's [[shanten]] measures how far a hand is from [[tenpai]]. A hand that is 1-shanten is 1-away from tenpai, a hand in 2-shanten is 2-away from tenpai, and so on. | A hand's [[shanten]] measures how far a hand is from [[tenpai]]. A hand that is 1-shanten is 1-away from tenpai, a hand in 2-shanten is 2-away from tenpai, and so on. | ||
[[Ukeire]], or tile acceptance, measures how many tiles can be used to reduce a hand's shanten. For example, a hand may have a tile acceptance of 40 tiles, meaning that there are 40 different | [[Ukeire]], or tile acceptance, measures how many tiles can be used to reduce a hand's shanten. For example, a hand may have a tile acceptance of 40 tiles, meaning that there are 40 different tiles ''that can be drawn'' to advance the hand. The hand may have 10, 14, 16 distinct ''types'' of tiles that improve the hand, but "tile acceptance of 40" means there are 40 tiles that can physically be drawn. | ||
Note: when measuring tile acceptance in actual games, it is important to note the amount of tiles available | Note: when measuring tile acceptance in actual games, it is important to note the amount of tiles actually available. Any tile discarded, used in your hand, used in an opponents call, or in the dora indicators can no longer be drawn, which affects the hand's tile acceptance. For example, a 67-pin ryanmen joint normally has an acceptance of 8 (four 5-pins; four 8-pins). However, if all four 5-pin and three of the 8-pin are discarded, the wait effectively has an acceptance of 1 tile. | ||
==Important concepts== | ==Important concepts== | ||
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Therefore, for pure tile acceptance, a lone 3/4/5/6/7 > lone 2/8 > lone 1/9 > lone guest winds. This is before considering mechanics like furiten and dora. With [[red fives]] in play, 4/6 become stronger than 3/7 due to being able to create ryanmen with a red five. | Therefore, for pure tile acceptance, a lone 3/4/5/6/7 > lone 2/8 > lone 1/9 > lone guest winds. This is before considering mechanics like furiten and dora. With [[red fives]] in play, 4/6 become stronger than 3/7 due to being able to create ryanmen with a red five. | ||
[[Yakuhai]] are a special case. Because they can be [[pon]]'d to instantly gain a yaku and a group, they are more valuable when | [[Yakuhai]] are a special case. Because they can be [[pon]]'d to instantly gain a yaku and a group, they are more valuable when these conditions are met: 1. the hand would not have any yaku if opened, 2. the hand does not have an obvious "4 groups + 1 pair" yet, and 3. creating a triplet is possible (less than 2 copies are visible). In an average starting hand, they are more valuable than 1/9 but less important than 2/8. Yakuhai are a bit stronger in [[tonpuusen]] due to its faster paced nature. | ||
[[Dora]] can greatly boost the value of the hand - a dora pair turns a 2000 point hand into a 7700 point one. Keeping the dora might not be the best when going for ''pure'' tile efficiency, but they can be good to keep if you need the value. | [[Dora]] can greatly boost the value of the hand - a dora pair turns a 2000 point hand into a 7700 point one. Keeping the dora might not be the best when going for ''pure'' tile efficiency, but they can be good to keep if you need the value. | ||
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===Two pairs theory=== | ===Two pairs theory=== | ||
A hand needs 1 pair to win. If | A hand needs 1 pair to win. If the hand's only pair turns into a triplet, you'll need to make a pair elsewhere, or break the triplet later. When you have 2 pairs, either pair can be turned into a triplet freely, thus increasing tile acceptance by 4. When you have 3 pairs, one extra pair can be turned into a triplet, increasing tile efficiency by only 2. Therefore, keeping 2 pairs (ideally 1 as part of a 'ryanmen + pair' complex joint) is strong. Refer to the following tables: | ||
{| class="wikitable" | {| class="wikitable" | ||
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{{main|Yaku}} | {{main|Yaku}} | ||
'''At least one yaku is required to win a hand'''. Therefore, yaku are | '''At least one yaku is required to win a hand'''. Therefore, yaku are a key factor for tile efficiency. Having a yaku means you don't need to [[riichi]] to gain a yaku, which means you can call tiles, which allows you to complete faster than a closed hand would. When you need to complete a fast hand, getting a yaku is very helpful. Of course, sometimes it's best to stay closed for the value. | ||
In other cases, players may end up simply having tenpai in mind, especially as the hand nears the later discards. This is of particular concern for the current [[dealer]], who may have an interest in retaining the position and [[Renchan|repeat the hand]]. | In other cases, players may end up simply having tenpai in mind, especially as the hand nears the later discards. This is of particular concern for the current [[dealer]], who may have an interest in retaining the position and [[Renchan|repeat the hand]]. | ||