Miai Values List / 0.00 to 0.99

Neutral point  

There are other types of neutral (dame) points including: protective moves (teire) against the cut when outside liberties are filled; capturing stones in seki, etc.

Miai  

Either player can play first, with the same result.

Ko threat (teire)  

may be a ko threat. At the dame stage, an immediate is a protective play.

0.17 (``sf0.1bar{:sf6:} = ``1/6)

 

By the method of multiples. Original count: -0.83

If White is komaster Black will not play . If Black is komaster the miai value is 0.44 (4/9) and the original count is -0.55.

0.33 (``sf0.3bar{:sf3:} = ``1/3)

Connect ko  

Initial count: -0.33

White has 1/3 point equity in the stone. We may think of it as 1/3 captured.

Take ko  

HolIgor: This move together with the one above should give a point, shouldn't it?

Bill: Yes, but Black started with 1/3 point net equity , so each move gains 1/3 point, on average. :-)

See half-point ko.

Hidden ko  

fills.

Initial count: 0.67

1 and 2 are miai points.^[3]

Make ko  

Initial count: 8.67

Take ko in sente  

Initial count: 5.67

Make ko (2)  

, preventing the ko, would also be worth 0.33.

Make ko (2a)  

0.39 (``sf0.3bar{:sf8:} = ``7/18)

 

Bill: When White is komaster the play is in the indicated ko, with a gain of 1/3. When Black is komaster the play is in the throw-in ko, with a gain of 1/2.

Matti: Let's first have thee copies.

Copy 1  

connects ko.

Copy 3  

In copies 2 and 3 white has 2 5/6 points. Now, let's assume that we had 18 copies of the original position and have now 6 positions of copy one.

As shown above white has 5 points in six positions in the corner. In one position of the six he has one point at the edge and in five others two points at the edge, total of 16 points in six positions, thus 2 2/3 points. So black has gained 1 + 2 5/6 - 2 2/3 = 7/6 from total of three kos. One ko is thus worth 7/18 points.

Take away potential point  

Initial count: -0.5

Take stone  

Initial count: 1.5

Take away potential territory  

at 1.

Jump to take away potential point  

Initial count: -3.5

Defend potential point  

Initial count: 2.5

Take away potential point  

Initial count: -0.5

Under the stones sacrifice  

Initial count: -2.5

After the corner is worth -2. White has captured 3 Black stones, but Black can claim the stone.

(Note: If White is komaster she can make ko to protect , but Black gets 3 moves elsewhere.)

Prevent sacrifice  

After White gets 2 Black stones plus 1 point of territory.

Real half point ko  

Next Black can fill at in sente.

Real half-point ko, W komaster  

0.58 (``sf0.58bar{:sf3:} = ``7/12)

Make damezumari  

Now there is a 0.33 point play at a.

Make territory plus  

Now there is a 0.5 point play at a.

The swing is 1 point at plus 0.5 - 0.33 = 0.17 in the corner in gote. That yields a miai value of 0.58.

Real half-point ko, B komaster  

If B were komonster, it would be 0.75.

0.67 (``sf0.6bar{:sf6:} = ``2/3)

Defend potential point, set up ko capture  

Left Count: 1.33, Right Count 0; Initial Count 0,67

Take stone to set up ko  

Ambiguous.

Take three stones  

0.75 (``= ``3/4)

Take away potential point (corridor)  

0.83 (``sf0.8bar{:sf3:} = ``5/6)

Defend potential point, set up 0.67 position  

The initial position has a local count of 2 5/6. The result after has a local count of 3 2/3. gains 5/6 of a point.

Take away potential point  

The local score after - is 2. The hane-and-connect gains 5/6 of a point.

Sente  

Take stone in sente, leaving 0.67 point play.

Reverse Sente  

Save stone, leaving 0.5 point play.

Protect, threaten 0.67 play  

0.88 (``sf0.875 = ``7/8)

Take away potential point  

0.94 (``sf0.9375 = ``15/16)

Take away potential point (corridor)  

0.97 (``sf0.96875 = ``31/32)

Take away potential point (corridor)  

For higher values see /1.00 to 1.99, /2.00 and more.

Footnotes

[3] Bill, now I'm confused - I think. Black's sente - I've switched the colours for , . OK, so using miai values means sequences don't need to be flagged as such (sente, or gote). Ah, I get it: White connecting on either side leaves

Hidden ko (2)  

where Black has in effect 0.33.

Leaving this comment for others' benefit. Charles

Bill: This is an ambiguous position. Its miai value is 1/3, but Black can take one stone and threaten to connect with sente. Then, OC, the position still has a miai value of 1/3, and Black's sente has gained nothing locally. (It may have been a ko threat.) In thermographic terms, it has a blue mast up to temperature 1 2/3.