Artist: Copyright © Rasmus Holbroe (Jan. 2016).
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Artist: Copyright © Rasmus Holbroe (Jan. 2016).
|
| Tafl variant | Game balance | ||||
| All players | Strong players | Very strong players | Ultra strong players | Average | |
| Copenhagen 11x11 (Lewis cross) | +1.51 (54 / 12) | +1.59 (48 / 10) | +2.56* (16 / 5) | +3.00* (10 / 3) | +1.72 |
| Brandubh2.5W 7x7 | +1.53 (182 / 7) | +1.54 (180 / 6) | +1.57 (172 / 5) | +1.12 (70 / 3) | +1.49 |
|
Brandubh 7x7 (Brandubh 2)
(Historical Hnefatafl 7x7) |
+1.62 (2318 / 79) | +1.56 (2054 / 46) | +1.83 (730 / 25) | +2.21 (364 / 8) | +1.61 |
| Copenhagen 11x11 (T cross) | +1.52 (126 / 19) | +1.41 (94 / 13) | +1.50* (20 / 6) | +1.50* (10 / 4) | +1.48 |
| Fetlar Hnefatafl 11x11 | +1.44 (1564 / 173) | +1.44 (798 / 64) | +1.34 (230 / 23) | +1.56 (50 / 11) | +1.43 |
| Copenhagen Hnefatafl 11x11 (w) | +1.51 (474 / 24) | +1.43 (282 / 14) | +1.33 (182 / 8) | +1.08 (54 / 6) | +1.43 |
| Alea Berserk 19x19 (Bartley) | +1.41 (158 / 23) | +1.39 (110 / 14) | +1.40* (12 / 4) | +1.00* (4 / 2) | +1.40 |
| Copenhagen Hnefatafl 11x11 (Bell) | +1.47 (398 / 47) | +1.47 (304 / 37) | +1.23 (96 / 22) | +1.42 (58 / 9) | +1.44 |
| Copenhagen Hnefatafl 11x11 | +1.36 (13640 / 449) | +1.31 (9130 / 117) | +1.18 (4194 / 48) | +1.07 (1418 / 22) | +1.30 |
| Sea battle 11x11 (T circle) | +1.31 (118 / 27) | +1.30 (92 / 19) | 1.00* (18 / 7) | - (0 / 0) | +1.28 |
|
Simple Hnefatafl 9x9 (w, rhombus)
(Nielsen setup) |
+1.25 (322 / 28) | +1.22 (286 / 20) | +1.93 (44 / 12) | 1.00* (12 / 4) | +1.27 |
| Saami Cuhkka 5x5 (Sjøsamisk Dablo) | +1.27 (242/ 27) | +1.21 (202 / 19) | +1.22* (20 / 8) | - (0 / 0) | +1.24 |
| Sea battle 9x9 (1571) | +1.17 (78 / 14) | +1.18 (74 / 12) | -1.40* (12 / 6) | 1.00 (4 / 2) | +1.13 |
|
Thor 11x11 (w)
(Martens setup) |
+1.18 (74 / 11) | +1.18 (72 / 10) | +2.50* (14 / 6) | - (0 / 0) | +1.25 |
|
Ard Ri 7x7 (39, throneless)
(Historical Hnefatafl 7x7) |
+1.21 (192 / 27) | +1.23 (176 / 24) | +1.24 (94 / 14) | 1.00* (14 / 4) | +1.21 |
|
Brandubh 7x7 (Walker)
(Historical Hnefatafl 7x7) |
+1.23 (468 / 39) | +1.23 (392 / 27) | +1.35 (80 / 10) | -3.00* (20 / 3) | +1.21 |
| Sea battle tafl 13x13 (Nielsen) | +1.16 (158 / 30) | +1.18 (124 / 22) | +1.19 (70 / 13) | 1.00* (10 / 4) | +1.17 |
| Saami Daabloe 11x9 (Sørsamisk Dablo) | +1.11 (412 / 33) | +1.14 (334 / 23) | +1.20 (44 / 10) | - (0 / 0) | +1.13 |
| Frisian Dablo0 11x9 | +1.16 (134 / 12) | +1.24 (110 / 10) | +inf. (2 / 2) | +inf. (2 / 2) | +1.23 |
|
Chess (roughly 52% - 56% white wins) (balance +1.08 to +1.27) |
+1.17 | ||||
|
Berserk Hnefatafl 11x11
(Nielsen setup) |
+1.22 (1406 / 93) | +1.10 (708 / 48) | +1.08 (212 / 21) | -1.29 (32 / 9) | +1.16 |
|
Historical Hnefatafl 9x9 (aka Saami Tablut)
(gulo-dimetr) White begins! |
+1.17 (226 / 19) | +1.17 (128 / 13) | -1.11 (40 / 8) | - (0 / 0) | +1.14 |
|
Thor 15x15 (w)
(Martens setup) |
+1.11 (40 / 7) | +1.11 (38 / 6) | - (0 / 0) | - (0 / 0) | +1.11 |
| Historical Hnefatafl 13x13 | +1.14 (246 / 26) | +1.13 (228 / 20) | +1.13 (166 / 14) | +1.06 (64 / 6) | +1.13 |
|
Total Hnefatafl 11x11
(Draganov setup) |
+1.21 (416 / 31) | +1.19 (286 / 22) | +1.04 (46 / 11) | +1.18* (12 / 5) | +1.19 |
| Sea battle 9x9 (circle) | +1.19 (70 / 15) | +1.32 (44 / 11) | -1.33* (14 / 6) | 1.00* (6 / 2) | +1.16 |
|
Historical Hnefatafl 11x11
(Lewis cross) White begins! |
+1.09 (664 / 37) | +1.09 (544 / 27) | +1.09 (286 / 15) | +1.32 (72 / 6) | +1.10 |
| Daldos 3x12 | +1.09 (2572 / 29) | +1.08 (2374 / 23) | +1.03 (400 / 14) | 1.00 (32 / 6) | +1.08 |
| Copenhagen Hnefatafl 13x13 | +1.06 (130 / 23) | +1.14 (90 / 17) | -1.50* (10 / 7) | 1.00* (4 / 3) | +1.07 |
| Historical Hnefatafl 13x13 (w, Dimetr 1) | 1.00 (124 / 16) | +1.04 (112 / 13) | 1.00 (22 / 7) | 1.00* (2 / 2) | +1.02 |
| Daldos 3x16 | +1.05 (2242 / 24) | +1.06 (2150 / 21) | +1.30 (342 / 12) | +1.47 (42 / 6) | +1.07 |
| Frisian Dablo 11x9 | +1.07 (322 / 16) | +1.06 (294 / 15) | +1.40 (24 / 7) | +uend. (2 / 2) | +1.08 |
| Odin 15x15
(Martens setup) |
+1.15 (114 / 16) | 1.00 (80 / 12) | +1.67* (8 / 4) | +inf* (2 / 2) | +1.12 |
| Tyr 11x11
(Martens setup) |
-1.01 (406 / 29) | -1.04 (366 / 22) | +1.11 (76 / 13) | -1.20 (22 / 7) | -1.02 |
| Sea battle-aleks 11x11 | 1.00* (14 / 7) | 1.00* (12 / 5) | 1.00* (8 / 4) | - (0 / 0) | 1.00 |
| Historical Hnefatafl 11x11 (w, Bell) | +1.04 (314 / 44) | -1.04 (232 / 26) | +1.09 (92 / 13) | -1.14 (30 / 6) | 1.00 |
|
Sea battle 9x9 (2526)
(Nielsen setup) |
+1.03 (352 / 40) | +1.08 (266 / 29) | -1.18 (124 / 18) | -1.31 (30 / 4) | +1.01 |
| Daldos 3x14 | -1.01 (3212 / 31) | -1.01 (3034 / 26) | -1.01 (640 / 16) | +1.05 (76 / 6) | -1.01 |
| Odin 17x17 | -1.03 (136 / 18) | -1.04 (100 / 12) | 1.00* (2 / 2) | - (0 / 0) | -1.03 |
| Magpie 7x7 | +1.04 (112 / 26) | +1.06 (74 / 22) | 1.00* (18 / 9) | - (0 / 0) | +1.02 |
| Historical Hnefatafl 9x9 (Saami Tablut-w) | -1.04 (966 / 65) | -1.06 (838 / 39) | -1.05 (338 / 20) | +1.09 (48 / 5) | -1.05 |
| Fetlar 13x13 (Viking Siege) | -1.04 (56 / 12) | +1.09 (46 / 10) | -3.00* (4 / 4) | - (0 / 0) | -1.02 |
| Old Hnefatafl 11x11 | +1.13 (1222 / 196) | -1.05 (556 / 56) | -1.38 (76 / 18) | -1.86* (20 / 7) | +1.05 |
| Sea battle tafl 13x13 (modif. Parlett) | -1.09 (364 / 44) | -1.11 (280 / 33) | -1.43 (90 / 21) | -3.00* (12 / 7) | -1.15 |
| Tyr 15x15
(Martens setup) |
-1.07 (254 / 17) | -1.08 (252 / 16) | -1.62 (34 / 10) | -3.00* (8 / 3) | -1.12 |
| Hex 11x11 | -1.11 (338 / 27) | -1.13 (290 / 22) | 1.00 (86 / 11) | +1.67* (8 / 3) | -1.10 |
| Saami Sáhkku 3x15 (Kåfjord) | -1.14 (2906 / 30) | -1.13 (2728 / 25) | -1.09 (620 / 14) | -1.13 (100 / 7) | -1.13 |
|
Sea battle 15x15 (Walker)
(Damian Walker setup) |
-1.08 (110 / 29) | -1.11 (78 / 22) | +2.00* (12 / 6) | - (0 / 0) | -1.04 |
|
Simple Hnefatafl 11x11 (aka Welsh Tawlbwrdd)
(Hist. Hnef. throneless Lewis cross) White begins! |
1.00 (142 / 55) | -1.18 (74 / 17) | 1.00* (10 / 9) | - (0 / 0) | -1.05 |
|
Market Hnefatafl 9x9
(Simple Hnefatafl T cross) White begins! |
-1.18 (222 / 25) | -1.20 (194 / 15) | -1.40 (48 / 10) | -1.29* (16 / 4) | -1.21 |
|
Sea battle 11x11 (w, 204577)
(Nielsen setup) |
-1.12 (102 / 23) | -1.30 (76 / 16) | -1.50 (30 / 9) | -2.33* (10 / 4) | -1.27 |
| Historical Hnefatafl 13x13 (Nielsen) | -1.18 (48 / 12) | -1.30 (46 / 11) | -1.67* (8 / 5) | - (0 / 0) | -1.27 |
| Historical Hnefatafl 13x13 (Nielsen 2) | -1.40 (60 / 13) | -1.45 (54 / 12) | +2.00* (6 / 4) | - (0 / 0) | -1.35 |
|
Sea battle 11x11 (w, T cross)
(Dardell setup) |
-1.21 (86 / 16) | -1.23 (78 / 13) | -1.43 (34 / 8) | -2.20* (16 / 4) | -1.30 |
|
Simple Hnefatafl 5x5 (w)
(Draganov setup) |
-1.59 (228 / 31) | -1.63 (200 / 23) | -1.06 (70 / 11) | 1.00* (8 / 3) | -1.50 |
| Skalk Hnefatafl 9x9 (ExpoMedia) | -1.60 (122 / 16) | -1.69 (86 / 8) | -2.24 (68 / 5) | 1.00* (4 / 2) | -1.75 |
| Skalk Hnefatafl 11x11 | -2.54 (124 / 24) | -4.85 (76 / 12) | -11.00* (36 / 7) | -4.33* (8 / 4) | -3.65 |
| Ashton tablut 9x9 (w) | -4.55 (86 / 10) | -6.33* (44 / 7) | -5.80* (34 / 6) | -inf* (6 / 3) | -5.42 |
Only full pairs of games are counted (player A white against player B black and player B white against player A black)
The table data cells contain: game balance ( number of games / number of players ). * Number unreliable, too few games.
White = defenders. Black = attackers.
How the tafl game balance is calculated:
Balance = (number of wins by the more successful color) divided by (number of wins by the less successful color).
The number is positive if white wins more, and negative if black wins more.
Draws count as half a win for each side.
Examples:
Average is calculated this way:
average of a/b, c/d, e/f and g/h is (a+c+e+g)/(b+d+f+h)