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MahjikuPattern library › Thirteen Orphans

Special hands · limit hand

Thirteen Orphans

十三么 · Sap Saam Yiu

Thirteen Orphans (十三么 · Sap Saam Yiu) is a Hong Kong mahjong hand: One of every end tile — the 1 and 9 of each suit plus all four winds and all three dragons — with one of them paired. Mahjiku's default sheet prices it at 27 faan, and every win also carries the 1 faan base, so a hand whose only named line is Thirteen Orphans totals 28 faan. Under Mahjiku's default additive payout that 28 faan is the payment itself: the winner collects 84 points on a self-draw (自摸), when all three opponents pay 28 each, or 28 from the single player who discarded the winning tile (點炮). Faan values are a table's own call; this is Mahjiku's shipped default, editable in House Rules.

27faan
Mahjiku's default value, from the patterns block of Mahjiku's default rule set. House rules vary from table to table — this is one common setting, not the only "correct" one. Your table can price it differently; the engine reads whatever your rule set says.

How to spot Thirteen Orphans at the table

A 1 and 9 of every suit plus every wind and dragon, one of them doubled.

An example

19
19
19
ES西WN
RGW
E

What the engine scores that hand at

These are not illustrative numbers: the tiles above were passed to Mahjiku's scoring engine (self-drawn and fully concealed, seat wind North, round wind North) and this is the breakdown it returned.

Line the engine emittedFaan
Thirteen Orphans十三么+27
Base+1
Concealed Hand門前清+2
Total30

The 27 faan for Thirteen Orphans is only part of it. The same tiles also satisfy Concealed Hand (+2) — patterns stack in Hong Kong scoring, which is why a hand named for one shape often pays a good deal more than that shape's own value.

What 30 faan actually pays

Faan is not the score by itself — it is the number the table turns into points, and Hong Kong tables do that two different ways. Both are shipped in Mahjiku; the additive model is the default.

Payout modelOne payer owesSelf-draw 自摸Discard 點炮
Additivefaan is the payout30+90+30
半辣上half spicy384+1152+384
辣辣上full spicy8192+24576+8192

Self-draw: all three opponents pay. Discard: only the player who threw the tile pays. Both columns are the winner's gain, straight out of the app's settlement function.

Worth knowing. Both doubling tables stop at 13 faan, so this 30-faan hand is paid at the 13-faan row — 384 points under 半辣上 and 8192 under 辣辣上. Everything above 13 faan pays the same. The additive model has no ceiling, so there the extra faan still count.

Unlike every other hand in this library, Thirteen Orphans stacks with no other pattern at all: the engine scores it as a reading of its own, so the total is this hand plus the base and whatever how-you-won bonuses apply, and nothing else. (An older build priced a thirteen-sided-wait variant a notch higher; that number was never in any source and was removed — a table that plays the variant simply types its own price.)

Try it yourself

The free faan calculator opens with this hand already selected — add whatever else your hand had and watch the points move.

Open the calculator with Thirteen Orphans already ticked All 53 patterns

Related hands

Heavenly Hand 天和 27Earthly Hand 地和 27Nine Gates 九蓮寶燈 22All Green 綠一色 20Human Hand 人和 16

More context: the pattern library lists every hand by family, the scoring guide explains how faan becomes points, and the FAQ answers the questions people ask before their first game night.

Last updated: 2026-08-27. This page is generated from Mahjiku's shipped scoring engine — the date moves only when its content does.

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© 2026 Steven Eka Halim · Mahjiku records game points only. Pencatat skor mahjong. Bukan judi, tanpa taruhan.