Rachmaninoff 1923

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   3  0.689  0.022  0.172  0.657  0.592  0.62
Anderszewski 2003   7  0.6344  0.0039  0.0734  0.2338  0.2635  0.24
Ashkenazy 1981   16  0.612  0.093  0.189  0.556  0.586  0.56
Bacha 2000   64  0.5142  0.0073  0.0381  0.0337  0.1567  0.07
Badura 1965   59  0.528  0.0268  0.0556  0.0557  0.0576  0.05
Barbosa 1983   73  0.4664  0.0074  0.0469  0.0470  0.0479  0.04
Biret 1990   12  0.6223  0.0017  0.0818  0.3724  0.3524  0.36
Blet 2003   76  0.4273  0.0082  0.0479  0.0471  0.0385  0.03
Block 1995   66  0.4974  0.0069  0.0465  0.0455  0.0581  0.04
Blumental 1952   6  0.645  0.0311  0.115  0.577  0.528  0.54
Boshniakovich 1969   68  0.4975  0.0065  0.0382  0.0381  0.0488  0.03
Brailowsky 1960   13  0.623  0.0347  0.0552  0.0512  0.6241  0.18
Bunin 1987   77  0.4250  0.0075  0.0558  0.0531  0.3249  0.13
Bunin 1987b   81  0.4084  0.0076  0.0480  0.0433  0.2952  0.11
Chiu 1999   56  0.5277  0.0063  0.0467  0.0438  0.1468  0.07
Cohen 1997   86  0.3387  0.0087  0.0387  0.0374  0.0390  0.03
Cortot 1951   55  0.5238  0.0066  0.0462  0.0422  0.4748  0.14
Csalog 1996   84  0.3579  0.0081  0.0477  0.0453  0.0580  0.04
Czerny 1949   9  0.6339  0.0012  0.148  0.5526  0.469  0.50
Czerny 1990   17  0.6168  0.0016  0.0712  0.4431  0.3621  0.40
Duchoud 2007   80  0.4053  0.0078  0.0557  0.0537  0.1760  0.09
Ezaki 2006   4  0.6512  0.0113  0.0815  0.4121  0.4615  0.43
Falvay 1989   72  0.4758  0.0072  0.0384  0.0353  0.0774  0.05
Farrell 1958   35  0.5685  0.0033  0.0731  0.2629  0.4026  0.32
Ferenczy 1958   79  0.4155  0.0083  0.0385  0.0384  0.0386  0.03
Fliere 1977   2  0.6915  0.017  0.173  0.6127  0.3313  0.45
Fou 1978   22  0.6030  0.0027  0.0826  0.3028  0.2828  0.29
Francois 1956   69  0.4949  0.0070  0.0478  0.0432  0.3451  0.12
Friedman 1923   23  0.594  0.0342  0.0639  0.1822  0.4530  0.28
Friedman 1923b   25  0.597  0.0240  0.0735  0.2324  0.4625  0.33
Friedman 1930   32  0.5867  0.0049  0.0648  0.0630  0.4047  0.15
Garcia 2007   65  0.5080  0.0064  0.0474  0.0434  0.3054  0.11
Garcia 2007b   63  0.5288  0.0060  0.0559  0.0540  0.1266  0.08
Gierzod 1998   14  0.6162  0.0010  0.1411  0.5336  0.3316  0.42
Gornostaeva 1994   53  0.5356  0.0058  0.0472  0.0438  0.1664  0.08
Groot 1988   34  0.5726  0.0015  0.0917  0.3912  0.4617  0.42
Harasiewicz 1955   8  0.6371  0.0022  0.0919  0.3740  0.1832  0.26
Hatto 1993   24  0.5918  0.0136  0.0629  0.2740  0.1937  0.23
Hatto 1997   21  0.6070  0.0038  0.0633  0.2443  0.1344  0.18
Horowitz 1949   38  0.5631  0.0046  0.0649  0.066  0.5643  0.18
Indjic 1988   20  0.6047  0.0037  0.0830  0.2741  0.1838  0.22
Kapell 1951   62  0.5281  0.0050  0.0650  0.0652  0.0670  0.06
Kissin 1993   29  0.5859  0.0019  0.0820  0.3630  0.4123  0.38
Kushner 1989   57  0.5282  0.0057  0.0383  0.0353  0.0677  0.04
Luisada 1991   28  0.5827  0.0048  0.0551  0.0548  0.0869  0.06
Lushtak 2004   47  0.5360  0.0062  0.0553  0.0546  0.0872  0.06
Malcuzynski 1961   37  0.5611  0.0225  0.0624  0.319  0.5419  0.41
Magaloff 1978   10  0.6328  0.0020  0.0714  0.415  0.5310  0.47
Magin 1975   15  0.6172  0.005  0.166  0.5613  0.537  0.54
Michalowski 1933   75  0.4640  0.0077  0.0473  0.0443  0.1863  0.08
Milkina 1970   26  0.5936  0.0030  0.0732  0.2542  0.2136  0.23
Mohovich 1999   40  0.5620  0.0152  0.0846  0.0842  0.1555  0.11
Moravec 1969   46  0.5433  0.0034  0.0740  0.1715  0.5727  0.31
Morozova 2008   41  0.5551  0.0043  0.0643  0.1341  0.2245  0.17
Neighaus 1950   44  0.5434  0.0053  0.0463  0.0439  0.1565  0.08
Niedzielski 1931   19  0.6110  0.029  0.1210  0.542  0.633  0.58
Ohlsson 1999   42  0.5465  0.0032  0.0737  0.2135  0.2734  0.24
Osinska 1989   27  0.5952  0.0035  0.0738  0.1961  0.0556  0.10
Pachmann 1927   83  0.3889  0.0086  0.0288  0.0264  0.0484  0.03
Paderewski 1930   82  0.3961  0.0084  0.0466  0.0471  0.0383  0.03
Perlemuter 1992   74  0.4690  0.0071  0.0476  0.0437  0.1958  0.09
Pierdomenico 2008   85  0.3529  0.0079  0.0560  0.0531  0.3050  0.12
Poblocka 1999   48  0.5343  0.0045  0.0645  0.1249  0.0661  0.08
Rabcewiczowa 1932   33  0.5717  0.018  0.1616  0.3913  0.4418  0.41
Rachmaninoff 1923   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Rangell 2001   88  0.2976  0.0085  0.0386  0.0376  0.0491  0.03
Richter 1976   67  0.4966  0.0067  0.0464  0.0437  0.3253  0.11
Rosen 1989   61  0.5269  0.0054  0.0471  0.0460  0.0582  0.04
Rosenthal 1930   18  0.616  0.026  0.144  0.595  0.821  0.70
Rosenthal 1931   50  0.5313  0.0126  0.0728  0.286  0.6814  0.44
Rosenthal 1931b   49  0.5325  0.0023  0.0623  0.326  0.6911  0.47
Rosenthal 1931c   45  0.5422  0.0028  0.0625  0.306  0.7112  0.46
Rosenthal 1931d   51  0.5354  0.0029  0.0736  0.216  0.7422  0.39
Rossi 2007   71  0.4891  0.0080  0.0555  0.0545  0.1262  0.08
Rubinstein 1939   60  0.5214  0.0155  0.0468  0.0439  0.2059  0.09
Rubinstein 1952   78  0.4121  0.0024  0.0642  0.1435  0.2640  0.19
Rubinstein 1966   52  0.5383  0.0056  0.0470  0.0452  0.0675  0.05
Schilhawsky 1960   5  0.6516  0.014  0.147  0.569  0.595  0.57
Shebanova 2002   43  0.5441  0.0014  0.0822  0.3232  0.2729  0.29
Smith 1975   36  0.5619  0.0144  0.0544  0.1230  0.2642  0.18
Sokolov 2002   54  0.5345  0.0041  0.0641  0.1621  0.3633  0.24
Sztompka 1959   11  0.6235  0.0018  0.0813  0.4132  0.4120  0.41
Tomsic 1995   87  0.2986  0.0088  0.0475  0.0472  0.0578  0.04
Uninsky 1932   39  0.5624  0.0051  0.0747  0.0730  0.3846  0.16
Uninsky 1971   70  0.4946  0.0061  0.0554  0.0546  0.0871  0.06
Wasowski 1980   58  0.5263  0.0059  0.0561  0.0563  0.0573  0.05
Zak 1937   30  0.5832  0.0031  0.0727  0.2841  0.1439  0.20
Zak 1951   31  0.5837  0.0021  0.0821  0.3635  0.2131  0.27
Average   1  0.761  0.571  0.561  0.7623  0.454  0.58
Random 1   91  -0.0978  0.0091  0.0191  0.0145  0.0987  0.03
Random 2   89  0.0148  0.0089  0.0289  0.025  0.5157  0.10
Random 3   90  -0.0657  0.0090  0.0190  0.0142  0.1289  0.03

Note: To load data table give above into Excel, copy and paste the data into a text editor (such as WordPad) first, then copy the text in the editor and past into Excel. You should remove the "target" line from the data before pasting into Excel so that plotting graphs of the data is done properly.

Column descriptions

  • Performance:
  • 0-Rank/0-Score: 0-Score is equivalent to Pearson correlation of the entire data sequence between the reference performance and a test performance. 0-Rank is the sorting order of the 0-scores (highest score has a rank of 1).
  • 1-Rank/1-Score: 1-Score is the area fraction covered by a particular performance in the scape plot (see image above). These values should not be taken literally, since they are sensitive to the Hatto Effect.
  • 2-Rank/2-Score: 2-Score values are equivalent to 1-Score values with all higher-ranking performances removed before the calculation of the area of coverage in the scape is calculated. Improvment over the 1-Rank scores, but still somewhat sensitive to the Hatto Effect.
  • 3-Rank/3-Score: Similar to 2-Rank calculations. The bottom 1/2 of the 2-rank performances are kept constant as a noise floor for the similarity measurement. Then one-by-one the top 1/2 of the 2-rank performances are superimposed with the noise-floor performances, and a 3-score is measured as the area covered in the scape. This measure is not sentisive to the Hatto Effect.
  • 3R-Rank/3R-Score: Reverse 3-rank/3-scores. 3-rankings and scores are not symmetric (A->B values are different from B->A values). So this column represents similarity measures in the opposite direction.
  • 4-Rank/4-Score: The geometric mean between 3-scores and 3R-scores. This column gives the best overall similarity ranking between the various performances (see color codes below).
  • NED: Noise Equivalient Distance (not yet implemented)

Color codes for 3-rank listings:

  • red = strongly similar performance to target
  • orange = moderately similar performance
  • yellow = weakly similar performance
  • green = marginally similar/dissimilar performance
  • white = dissimilar to target
  • blue = false positive (has high 3-rank score but low 3R-rank score)

3-rank/scores are not symmetric, so the 3R-rank/score columns give the 3-rank/scores going in the opposite direction. More matches in the 3-rank column than in the 3R-rank column indicates an individualistic performance, while more matches in the 3R-rank column indicates a mainstream performance.

If a 3-rank and a 3R-rank are both marked as similar to each other, then there is a possible direct relation between the performances. If one is similar to the other but not in the reverse direction, then the similarity is more likely to be by chance (performers randomly chose a similar interpretation).