List of all 400 legal openings in 2 plies (by # of master games)

Well, actually, I need it for reference purposes. I indicate PSCC classification codes, engine evaluations (5 lines) as well as statistical evaluations (sev):

https://www.chess.com/forum/view/chess-openings/4-statistical-subcategories-of-moves-and-openings

for openings with 100+ master games. I indicate also sharpness results when sh1>1 (W-edged) or sh2>1 (B-edged). In this case white (black) has more wins than draws. The low sharpness sh1<0.5 or sh2<0.5 will be also indicated. Additional notations: DB = databases, K = 1000, SF= Stockfish 9+.

1. 2D 1. d4 Nf6 Indian, 449K+, ev=+0.2, sev=+0.39 => DB: 2. c4, Nf3, Bg5 | SF: 2. c4 (+0.2), Bf4 (+0.1); test games #1: 1. d4 Nf6 2. c4 e6 3. Nc3 Bb4 4. Qc2 O-O 5. Bg5 h6 (NID: classical variation, +0.1); main lines
   
2. 2Ec 1. e4 c5 Sicilian, 421K+, ev=+0.1, sev=+0.19 => DB: 2. Nf3, Nc3, c3 | SF: 2. Nf3, d3 (+0.1) main lines
3. 2Ee 1. e4 e5 KPG, 206K+, ev=+0.1, sev=+0.40 statistically suboptimal => DB: 2. Nf3, Nc3, Bc4 | SF: 2. Nf3 (+0.1) main lines
4. 2Dd 1. d4 d5 QPG, 183K+, ev=+0.1, sev=+0.67, sh2=0.49 => DB: 2. c4, Nf3 | SF: 2. h3, Nf3, e3, c4 (+0.1)
   
5. 2E1e 1. e4 e6 French, 122K+, ev=+0.2, sev=+0.41 statistically suboptimal => DB: 2. d4 | SF: 2. g3 (+0.2), d4, Nc3, c3 (+0.1)
6. I 1. Nf3 Nf6 Symmetrical Réti, 102K+, ev=+0.2, sev=+0.57 => DB: 2. d4, c4, g3 | SF: 2. d4 (+0.2), c4, a3 (+0.1)
7. 2E1c 1. e4 c6 Caro-Kann, 71K+, ev=+0.3, sev=+0.37 => DB: 2. d4 | SF: 2. d4 (+0.3), Nc3, c3 (+0.2)
8. 2d 1. Nf3 d5 Réti: QP, 55K+, ev=+0.3, sev=+0.42
9. 2C 1. c4 Nf6 Anglo-Indian, 46K+, ev=+0.2, sev=+0.61
10. 2E1d 1. e4 d6 Pirc, 39K+, ev=+0.3, sev=+0.46, sh1=1.07 W-edged statistically suboptimal
    
11. 2D1e 1. d4 e6 Horwitz, 33K+, ev=+0.2, sev=+0.46
12. 2Ce 1. c4 e5 King's English, 32K+, ev=+0.1, sev=+0.29
13. 2E1g 1. e4 g6 KP: Modern, 31K+, ev=+0.3, sev=+0.24, sh1=1.14 W-edged
14. 2c 1. Nf3 c5 Réti: Sicilian, 25K+, ev=+0.3, sev=+0.28
15. 2D1d 1. d4 d6 Loewe, 22900K+, ev=+0.4, sev=+0.32, statistically excellent
16. 2Df 1. d4 f5 Dutch, 22200+, ev=+0.5, sev=+0.57, sh1=1.14 W-edged
17. 2Ed 1. e4 d5 Scandinavian, 21700+, ev=+0.5, sev=+0.57, sh1=1.04 W-edged 1-acute (2. exd5)
    
18. 2C1e 1. c4 e6 Agincourt, 21200+, ev=+0.1, sev=+0.60
19. 2D1g 1. d4 g6 QP: Modern, 21100+, ev=+0.4, sev=+0.38, sh1=1.15 W-edged
20. 2E 1. e4 Nf6 Alekhine, 20800+, ev=+0.5, sev=+0.41, sh1=1.05 W-edged 1-acute (2. e5)
21. 2Cc 1. c4 c5 Symmetrical English, 17800+, ev=+0.2, sev=+0.65, sh2=0.45
    
22. 2C1g 1. c4 g6 Great Snake, 14000+, ev=+0.4, sev=+0.17
23. 1g 1. Nf3 g6 Réti: KF, 11900+, ev=+0.2, sev=+0.17, statistically excellent
24. 2C1c 1. c4 c6 English Caro-Kann, 11800+, ev=+0.3, sev=+0.76, sh2=0.46
    
25. 2Dc 1. d4 c5 Old Benoni, 8870+, ev=+0.3, sev=+0.59, sh1=1.36 W-edged
26. 2f 1. Nf3 f5 Réti: Dutch, 6190+, ev=+0.5, sev=+0.74, sh1=1.15 W-edged
27. 2D1g 1. g3 d5 Benko: QP, 6120+, ev=+0.0, sev=+0.30
28. 1d 1. Nf3 d6 Réti: Pirc, 5700+, ev=+0.6, sev=+0.28
29. 2E 1. e4 Nc6 Nimzo, 5430+, ev=+0.2, sev=+0.39, sh1=1.25 W--edged
30. 2Cf 1. c4 f5 Anglo-Dutch, 4590+, ev=+0.5, sev=+0.49, sh1=1.14 W-edged
31. 2e1B 1. b3 e5 NLA: Modern, 3810+, ev=+0.0, sev=+0.06, sh1=1.03 W-edged
32. 1e 1. Nf3 e6 Réti: QG Invitation, 3690+, ev=+0.3, sev=+0.86, sh1=1.12 W-edged
33. 1G 1. g3 Nf6 Benko: Indian, 3320+, ev=+0.1, sev=+0.88, sh1=1.04 W-edged
34. 1Gg 1. g3 g6 Symmetrical Benko, 3250+, ev=+0.2, sev=+0.55
35. 2Fd 1. f4 d5 Bird: Dutch, 2890+, ev=-0.1, sev=-0.31, sh2=1.16 B-edged
    
36. 2e1G 1. g3 e5 Benko: KP, 2660+, ev=+0.0, sev=+0.16
37. 2d1B 1. b3 d5 NLA: Classical, 2330+, ev=+0.0, sev=+0.02
38. 2C1b 1. c4 b6 English: QF, 2310+, ev=+0.3, sev=+0.05, statistically excellent
39. 2c1G 1. g3 c5 Benko: Sicilian, 1840+, ev=+0.1, sev=+0.32
40. 2E1b 1. e4 b6 Owen, 1790+, ev=+0.3, sev=+0.65, sh1=1.49 W-edged
41. I 1. Nf3 Nc6 Black Mustang, 1510+, ev=+0.4, sev=+0.71, sh1=1.10 W-edged
42. 2D 1. d4 Nc6 Mikenas, 1500+, ev=+0.6, sev=+0.71, sh1=1.48 W-edged
43. 1B 1. b3 Nf6 NLA: Indian, 1430+, ev=+0.1, sev=+0.41 => 2. Nf3, Bb2
44. 2D1c 1. d4 c6 QP: Slav Invitation, 1200+, ev=+0.3, sev=+0.74, sh1=1.04 W-edged
45. 2F 1. f4 Nf6 Bird: Indian, 1100+, ev=-0.3, sev=-0.30, sh2=1.10 B-edged
46. 2C1d 1. c4 d6 English: Paulsen, 1160+,ev=+0.4, sev=+0.45, sh1=1.34 W-edged
47. 2d 1. Nf3 b6 : Réti: QF, 960+, ev=+0.3, sev=+0.30 => 2. e4
48. 2d 1. Nc3 d5 van Geet: QP, 910+, ev=+0.0, sev=-0.23, sh2=1.03 B-edged
49. 2c 1. Nc3 c5 van Geet: Sicilian, 810+, ev=+0.3, sev=-0.34, sh2=1.25 B-edged
50. 2D1b 1. d4 b6 English defense, 800+, ev=+0.3, sev=+0.62, sh1=1.29 W-edged
51. 2Be 1. b4 e5 Sokolsky: KP, 770+, ev=-0.1, sev=-0.29, sh=1.29 | 1.66 double-edged
    
52. 2Fc 1. f4 c5 Bird: Sicilian, 720+, ev=+0.0, sev=-0.21, sh=1.03 | 1.25 double-edged
    
53. 2Dg 1. d4 b5 QP: Polish, 610+, ev=+0.9, sev=+0.98, sh1=1.70 W-edged
54. 2F1g 1. f4 g6 Bird: KF, 600+, ev=+0.2, sev=-0.50, sh2=1.25 B-edged
55. 2c1B 1. b3 c5 NLA: English, 530+, ev=+0.1, sev=+0.04 
56. 2C 1. c4 Nc6 Anglo-Lithuanian, 510+, ev=+0.5, sev=+0.51, sh1=1.17 W-edged 1-acute (2. d4)
    
57. 2Fe 1. f4 e5, From's Gambit, 500+, ev=+0.4, sev=+0.13, sh=1.39 | 1.23 double-edged 1-acute (2. fxe5)
58. 2f1G 1. g3 f5 Benko: Dutch, 480+, ev=+0.5, sev=+0.59, sh1=1.25 W-edged
59. 2Bd 1. b4 d5 Sokolsky: QP, 460+, ev=-0.4, sev=-0.10, sh=1.03 | 1.14 double-edged
60. 2b 1. Nf3 b5 Réti: Polish, 390+, ev=+0.7, sev=+0.46, sh1=1.03 W-edged
61. 2E1a 1. e4 a6 St. George, 370+, ev=+0.2, sev=+0.74, sh=2.46 | 1.41 double-edged
62. 2d1D 1. d3 d5 Mieses: QP, 290+, ev=-0.1, sev=-0.31
63. 2B 1. b4 Nf6 Sokolsky: Indian, 280+, ev=-0.3, sev=-0.06
64. I 1. Nc3 Nf6 van Geet: Indian, 250+, ev=+0.1, sev=-0.03, sh2=1.02 B-edged
65. 1c 1. Nf3 c6 Réti: Slav, 240+, ev=+0.3, sev=+0.53
66. 1Bb 1. b3 b6 NLA: Symmetrical, 220+, ev=+0.2, sev=+0.07 => 2. Nf3, Bb2, e4
67. 2e 1. Nc3 e5 Reversed Nimzo, 200+, ev=+0.1, sev=+0.98, sh1=1.37 W-edged
68. 1E 1. e3 Nf6 van't Kruijs: Indian, 187, ev=+0.2, sev=+0.18 => DB: 2. d4, Nf3 | SF: 2. Nf3 (+0.2), d4, a3 (+0.1)
69. 2d1E 1. e3 d5 van't Kruijs: QP, 168, ev=+0.2, sev=-0.30, sh2=1.05 B-edged => DB: 2. Nf3, d4, f4, b3 | SF: 2. c4, d4, Nf3, h3 (+0.1)
70. 1Bg 1. b3 g6 NLA: KF, 167, ev=+0.1, sev=-0.05 => DB: 2. Bb2 | SF: 2. Bb2, Nf3 (+0.1)
71. 1Bd 1. b3 d6 NLA: Pirc, 166, ev=+0.3, sev=-0.12, sh=1.20 | 1.34 double-edged => DB: 2. Bb2 | SF: 2. d4 (+0.3), e3 (+0.2)
72. 2B1c 1. b4 c6 Polish: Outflank, 155, ev=-0.1 => DB: 2. Bb2, e3, c4 | 2. Nf3, e3 (-0.1), a3, Bb2 (-0.2)
73. 1Eg 1. e3 g6 van't Kruijs: KF, 155, ev=+0.2, sev=-0.87, sh=1.19 | 2.22 double-edged => DB: 2. d4, c4, f4, Nf3 | SF: 2. d4, Nf3, h3 (+0.2), c4 (+0.1)
74. 2De 1. d4 e5 Englund gambit, 137, ev=+1.0 => DB: 2. dxe5 | SF: 2. dxe5 (+1.0)
75. 1g 1. Nc3 g6 van Geet: KF, 136, ev=+0.4 => DB: 2. e4, d4 | SF: 2. d4 (+0.4), e4 (+0.2)
76. 2d1E 1. a3 d5 Anderssen: QP, 123, ev=+0.1 => DB: 2. Nf3, d4 | SF: 2. d4 (+0.2)
77. 2Gd 1. g4 d5 Grob: QP, 119, ev=-0.7, sev=-0.43, sh=1.43 | 2.04 double-edged => DB: 2. Bg2, h3 | SF: 2. Bg2 (-0.8), c4 (-1.1)
78. 2B1e 1. b4 e6 Sokolsky: French, 115, ev=-0.2 => DB: 2. Bb2 | SF: 2. a3 (-0.2), Bb2 (-0.3)
79. 2D1a 1. d4 a6 QP: St. George, 112, ev=+0.5 => DB: 2. e4 | SF: 2. e4, Nc3, Bf4 (+0.5)
80. 2e1D 1. d3 e5 Reversed Rat, 105, ev=+0.0 => DB: 2. c4, e4, Nf3, g3 | SF: 2. Nf3 (+0.0), e4, c4, Nd2 (-0.1)
81. 1Dg 1. d3 g6 Mieses: KF, 103, ev=+0.1 => DB: 2. g3, e4, Nf3 | SF: 2. e4 (+0.1), Nf3, d4, c4 (+0.0)
82. 1Ge 1. g3 e6 Benko: French, 102, ev=+0.1 => DB: 2. c4, Nf3, d4 | SF: 2. Bg2 (+0.1), c4, d4, Nf3 (+0.0)

(to be continued)

Color notations of moves:

statistically excellent

statistically good

statistically suboptimal

statistically bad

LoL The Indian Game has beaten Sicilian according to the Explorer.

So far, I've listed all 24 openings with 10000+ master games in the local Explorer database.

Now we have 29 openings with 5000+ master games.

Current status: 30 most popular openings with statistical evaluations and sharpness results.

Interesting! I thought Sicilian was the most played opening!

there are many quiet, positional lines in the sicilian.

for practical purposes, it would be interesting to redo OP's work but a bit deeper down the line, i.e. differentiating between the various positions rising up from such a monster opening like the sicilian.

Yes, we are planning to go deeper but, personally, I prefer to finish first the work with 2 plies.

was looking into your work a bit more Yigor, so far this looks really promising! wasn't expecting somebody with enough mathematics under his belt to post on these forums lol 

a couple of inputs:

1) do you plan to incoorperate the time factor, i.e looking at different databases from different time periods? this might skew the statistical interpretation, especially given my 2nd thought:

2) as you stated earlier, you plan to go deeper once you are done with 2 plies. will you try to use that additional information to properly weigh your stats on the first 2 plies? in case my english is too horrbile, a simple example:

1.e4 is not considered a statistically excellent move (SEM); my gut tells me, that those stats might be heavily weighted by games played a gazillion years ago with stone age theory, which of course are not really all that relevant for a thorough statistical analysis of openings based on modern opening theory.

really looking forward to this, as the idea seems really fruitful for a couple of workflows; from the top of my head, i'd be very interested in the statistical changes of the Ruy Lopez after the Kasparov - Kramnik match.

I'll just mention exotic openings here. I'm not planning to make any statistics for them now, only for openings with 100+ master games. U can continue in any direction and do requests as well. I can always incorporate your results in general summaries later.

gr0thend1eck: U got a good idea about the time factor and statistical evaluations by periods.  I don't know whether I'll have enough time and motivation to do it. After all, the chess is only a game for me. I have also interests in other "more serious" domains.

Btw I think that Grothendieck is the greatest mathematician of all times. My initial research area in mathematics was close to the algebraic geometry.

hello guys can someone show me the way to download the FIDE onlline arena on my laptop i have a windows 10 system and i  do find big difficulties to reach my objective wich  is as known to donwload it !!! please to answer as soon as possible !! thanks in advance 

Current status: 38 openings with 2000+ master games. Bird: Dutch (#35) 1. f4 d5 is the first opening with negative evaluation. It means that black wins more often than white.

hows that ? LoL...

Heya Billy, I see that U monitor my threads. 

a little, i dont think i am Tracking you, i think whenever someone on my friends lists starts a new forum, i get an alert...if i was Monitoring you, i would send you in for a Cat Scan and Blood Work...lol...

Current status: 46 openings with 1000+ master games.

good deal...

 You indicate that the Indian Defenses are used more often than the Sicilian.  The defenses are for different first moves.  A breakdown of the defenses used for e4,d4,c4,Nf3 etc would be great.  Thanks for the work you have done.