Tile efficiency: Difference between revisions

add common 4+ tile shapes
(add common 4+ tile shapes)
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{| class="wikitable" width=40%
{| class="wikitable" width=40%
|-
|-!Type
!Type
! align=center| Ryanmen !! align=center| Kanchan !! align=center| Penchan
! align=center| Ryanmen !! align=center| Kanchan !! align=center| Penchan
|-
|-
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{| class="wikitable"
{| class="wikitable"
|-
!Type
!Type
| align=center| Ryanmen + Pair || align=center| Kanchan + Pair || align=center| Ryankan
| align=center| Ryanmen + Pair || align=center| Kanchan + Pair || align=center| Ryankan
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|-
|-
!Type !! Pair !! Ryanmen !! Kanchan !! Penchan !! Total
!Type !! Pair !! Ryanmen !! Kanchan !! Penchan !! Total
|-
!Wind ({{#mjt:4z}})
!Wind ({{#mjt:4z}})
|{{#mjt:4z}} (3 tiles) || colspan=3| 0 tiles || 3 tiles
|{{#mjt:4z}} (3 tiles) || colspan=3| 0 tiles || 3 tiles
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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. Therefore, when discarding tiles that are unrelated to your hand, you should normally discard guest winds, then 1s/9s, then 2s/8s. This order 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 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.
[[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.
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* {{#mjt:12367m23p334s334z}} can be split into:
* {{#mjt:12367m23p334s334z}} can be split into:
* {{#mjt:123m}} (group) + {{#mjt:67m}} (joint) + {{#mjt:23m}} (joint) + {{#mjt:334s}} (complex joint) + {{#mjt:33z}} (pair) - 5 blocks
* {{#mjt:123m}} (group) + {{#mjt:67m}} (joint) + {{#mjt:23m}} (joint) + {{#mjt:334s}} (complex joint) + {{#mjt:33z}} (pair) - 5 blocks
* {{#mjt:4z}} is an isolated tile which does not add anything to the hand. If it were useful, it could be treated as a 6th block.
* {{#mjt:4z}} is an isolated tile which does not add anything to the hand. If it were useful, say [[dora]], it could be treated as a 6th block.


To see why 5 blocks is important, look at these example 2-shanten hands:
To see why 5 blocks is important, look at these example 2-shanten hands:


{| class="wikitable"
{| class="wikitable"
|-
!# Blocks !! Hand !! Tile acceptance
!# Blocks !! Hand !! Tile acceptance
|-
|-
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{| class="wikitable"
{| class="wikitable"
|-
!# Blocks !! Hand !! Draw !! Discard !! Tile acceptance
!# Blocks !! Hand !! Draw !! Discard !! Tile acceptance
|-
|-
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**You can upgrade one of your joints (e.g. turning a 45 ryanmen joint into a 445 complex joint).
**You can upgrade one of your joints (e.g. turning a 45 ryanmen joint into a 445 complex joint).
**You enter 1-shanten.
**You enter 1-shanten.
**You have multiple kanchan/penchans and you get an isolated middle tile. (E.g. with 79 kanchan + 12 penchan, discard the penchan to accept a 5, hoping to get a ryanmen.)
**You have multiple kanchan/penchans and you get an isolated middle tile. (E.g. with 79 kanchan + 12 penchan & 6 blocks, discard the penchan to accept a 5, hoping to get a ryanmen.)
*When discarding the 6th block, discard the weakest block you have (the one that improves tile acceptance the least). For example, if deciding between a penchan and ryanmen, discard the penchan. If you have two blocks of 23-man + 56-man, they have "duplicate acceptance" on the 4-man, so discarding one of those only leads to a loss of 4 tiles of acceptance.
*When discarding the 6th block, discard the weakest block you have (the one that improves tile acceptance the least). For example, if deciding between a penchan and ryanmen, discard the penchan. If you have two blocks of 23-man + 56-man, they have "duplicate acceptance" on the 4-man, so discarding one of those only leads to a loss of 4 tiles of acceptance.
*You may want to keep 6 blocks when aiming for a yaku, such as [[pinfu]] or [[sanshoku]].
*You may want to keep 6 blocks when aiming for a yaku, such as [[pinfu]] or [[sanshoku]].
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*A {{#mjt:2233m}} shape can be treated as two separate {{#mjt:23m}} ryanmen. However, they both accept the same tiles ({{#mjt:14m}}), so doing this isn't as efficient. The shape can be decent, since it has a ryanmen wait once you reach [[tenpai]], and you can make either 2-man or 3-man into a triplet. But fishing for the [[iipeikou]] will slow down the hand.
*A {{#mjt:2233m}} shape can be treated as two separate {{#mjt:23m}} ryanmen. However, they both accept the same tiles ({{#mjt:14m}}), so doing this isn't as efficient. The shape can be decent, since it has a ryanmen wait once you reach [[tenpai]], and you can make either 2-man or 3-man into a triplet. But fishing for the [[iipeikou]] will slow down the hand.


===Two pairs theory===
===Two pairs===
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:
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"
|-
!# Pairs !! Shape !! Tile acceptance
!# Pairs !! Shape !! Tile acceptance
|-
|-
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{| class="wikitable"
{| class="wikitable"
|-
!# Pairs !! Shape !! Tile acceptance
!# Pairs !! Shape !! Tile acceptance
|-
|-
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If you have 4 pairs you might want to consider [[chiitoitsu]], but if a sequence or triplet forms, you should probably discard a pair and go for a normal hand. At 5 pairs, you're at 1-shanten for chiitoitsu, so you should likely go for that.
If you have 4 pairs you might want to consider [[chiitoitsu]], but if a sequence or triplet forms, you should probably discard a pair and go for a normal hand. At 5 pairs, you're at 1-shanten for chiitoitsu, so you should likely go for that.
==4+ tile complex joints==
===Sequence + Sequential tile===
A nobetan is a "sequence of 4 tiles":
{| class="wikitable"
! align=center| Nobetan
|-
| align=center| {{#mjt:4567p}}
|}
It may be tempting to see the 4 or 7 as just an isolated tile. Technically, it is, but it can also be seen as a (45) ryanmen + (67) ryanmen. This shape accepts:
*{{#mjt:29p}} to create [[kanchan]] + sequence ({{#mjt:24p}} + {{#mjt:567p}}}}
*{{#mjt:3658p}} to create [[ryanmen]] or better ({{#mjt:34567p}} / {{#mjt:456p}} + {{#mjt:67p}})
*{{#mjt:47p}} to create a pair. ({{#mjt:44567p}})
In other words, it is an ''extremely strong'' floating tile. The ryanmen acceptance is about twice that of a normal 4 or 7! Therefore, keeping this shape is very powerful if your hand's joints are not entirely composed out of ryanmen-or-better. It's also great to keep if you need a pair even if you have all ryanmens.
Note: When this shape contains a terminal tile (1 or 9), it becomes much worse. It's still good if you need a pair, but the ryanmen acceptance drops to a normal 4 or 7.
===Sequence + Middle tile===
{| class="wikitable"
! align=center| Bulging
|-
| align=center| {{#mjt:4556p}}
|}
Like the nobetan, the "bulging" shape can be seen as a floating 5, or a (45) ryanmen + (56) ryanmen. It accepts:
*{{#mjt:3647p}} to create [[ryanmen]] ({{#mjt:345}} + {{#mjt:56p}} / {{#mjt:44556p}})
*{{#mjt:5p}} to create a pair. ({{#mjt:456p}} + {{#mjt:55p}})
There's no kanchan, so the acceptance is slightly worse than a nobetan. However, the ryanmen acceptance is still about twice that of normal floating tiles. Because this shape nearly guarantees 2 ryanmen when used, it's great if you're going for [[pinfu]]. The chance for [[iipeikou]] also helps. If you already have all ryanmens, there's not much need to keep the bulging shape intact (discard the middle tile).
Note: It's good to have a pair when you have a bulging shape.
===Extended Ryankan===
An extended ryankan is basically a ryankan with a sequence in the middle.
{| class="wikitable"
! align=center| Extended Ryankan 1 || Extended Ryankan 2
|-
| align=center| {{#mjt:245679}} || {{#mjt:455679}}
|}
The 245679 accepts {{#mjt:4p}} or {{#mjt:8p}} to complete the 2nd sequence. Drawing a {{#mjt:5p}} or {{#mjt:6p}} upgrades it to a ryanmen.
The 455679 can be seen as 456 + 579 or as 45 + 567 + isolated 9. It accepts {{#mjt:368p}} to complete a second sequence.


==Yaku==
==Yaku==
1,758

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