Random 1

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   63  -0.0526  0.0151  0.0351  0.0365  0.0253  0.02
Ax 1995   46  -0.0222  0.0136  0.0437  0.0465  0.0240  0.03
Bacha 1998   7  0.0217  0.0210  0.116  0.4365  0.027  0.09
Barbosa 1983   47  -0.0218  0.0130  0.0924  0.1966  0.0131  0.04
BenOr 1989   51  -0.0255  0.0056  0.0259  0.0266  0.0166  0.01
Biret 1990   38  -0.0133  0.0048  0.0350  0.0365  0.0158  0.02
Brailowsky 1960   53  -0.0350  0.0023  0.0516  0.2765  0.0214  0.07
Chiu 1999   15  0.0031  0.0025  0.0518  0.2365  0.0215  0.07
Clidat 1994   55  -0.0357  0.0059  0.0261  0.0266  0.0164  0.01
Cohen 1997   37  -0.0111  0.0263  0.0263  0.0265  0.0254  0.02
Cortot 1951   2  0.055  0.066  0.0911  0.3264  0.0213  0.08
Csalog 1996   64  -0.0563  0.0064  0.0265  0.0266  0.0163  0.01
Czerny 1989   4  0.046  0.053  0.143  0.5065  0.024  0.10
Ezaki 2006   30  -0.0123  0.0131  0.0729  0.1366  0.0129  0.04
Falvay 1989   31  -0.0164  0.0045  0.0440  0.0465  0.0235  0.03
Fiorentino 1962   8  0.0213  0.028  0.119  0.3764  0.0210  0.09
Fliere 1977   42  -0.0224  0.0127  0.0721  0.2165  0.0221  0.06
Fou 1978   60  -0.0538  0.0057  0.0357  0.0365  0.0244  0.02
Francois 1956   44  -0.0243  0.0033  0.0435  0.0465  0.0241  0.03
Goldenweiser 1946   49  -0.0239  0.0042  0.0441  0.0465  0.0233  0.03
Gornostaeva 1994   58  -0.0444  0.0038  0.0533  0.0566  0.0156  0.02
Groot 1988   59  -0.0456  0.0062  0.0258  0.0265  0.0259  0.02
Hatto 1993   23  0.0029  0.0016  0.0510  0.3266  0.0125  0.06
Hatto 1997   50  -0.0246  0.0028  0.0717  0.2465  0.0217  0.07
Horszowski 1983   13  0.0027  0.0019  0.0525  0.1965  0.0220  0.06
Indjic 2001   45  -0.0254  0.0029  0.0819  0.2266  0.0127  0.05
Katin 1996   48  -0.0259  0.0054  0.0345  0.0365  0.0246  0.02
Kiepura 1999   6  0.0216  0.027  0.108  0.3964  0.026  0.09
Korecka 1992   5  0.048  0.035  0.135  0.4565  0.028  0.09
Kushner 1990   14  0.0015  0.0218  0.0520  0.2165  0.0223  0.06
Lilamand 2001   9  0.0112  0.029  0.107  0.3965  0.029  0.09
Luisada 1990   21  0.0042  0.0022  0.0413  0.2865  0.0218  0.07
Luisada 2008   52  -0.0360  0.0055  0.0349  0.0365  0.0248  0.02
Lushtak 2004   3  0.054  0.072  0.162  0.5365  0.025  0.10
Malcuzynski 1951   39  -0.0210  0.0320  0.0526  0.1965  0.0226  0.06
Malcuzynski 1961   1  0.071  0.231  0.231  0.5865  0.022  0.11
Magaloff 1977   35  -0.0132  0.0026  0.0628  0.1765  0.0224  0.06
Magin 1975   10  0.012  0.104  0.144  0.4865  0.023  0.10
Meguri 1997   29  -0.0119  0.0139  0.0442  0.0465  0.0238  0.03
Milkina 1970   19  0.0014  0.0221  0.0531  0.1066  0.0137  0.03
Mohovich 1999   16  0.0045  0.0032  0.0630  0.1165  0.0228  0.05
Nezu 2005   26  0.0036  0.0053  0.0353  0.0365  0.0251  0.02
Ohlsson 1999   61  -0.0534  0.0061  0.0262  0.0266  0.0162  0.01
Olejniczak 1990   27  0.0047  0.0043  0.0343  0.0366  0.0160  0.02
Osinska 1989   28  0.0052  0.0037  0.0438  0.0465  0.0234  0.03
Perlemuter 1992   41  -0.0225  0.0150  0.0347  0.0366  0.0142  0.02
Poblocka 1999   33  -0.0137  0.0041  0.0344  0.0365  0.0243  0.02
Rangell 2001   17  0.0041  0.0049  0.0352  0.0365  0.0257  0.02
Richter 1960   12  0.0062  0.0013  0.0812  0.3165  0.0211  0.08
Richter 1961   25  0.0028  0.0014  0.0627  0.1864  0.0222  0.06
Rosen 1989   62  -0.0553  0.0065  0.0264  0.0265  0.0252  0.02
Rubinstein 1939   43  -0.0251  0.0034  0.0439  0.0465  0.0236  0.03
Rubinstein 1952   18  0.0058  0.0017  0.0515  0.2765  0.0219  0.07
Rubinstein 1966   54  -0.0361  0.0040  0.0346  0.0366  0.0147  0.02
Rudanovskaya 2007   24  0.0021  0.0152  0.0356  0.0365  0.0249  0.02
Shebanova 2002   32  -0.0165  0.0046  0.0436  0.0465  0.0239  0.03
Smith 1975   22  0.003  0.0811  0.1014  0.2865  0.0216  0.07
Sztompka 1959   36  -0.0130  0.0024  0.0523  0.2066  0.0130  0.04
Tanyel 1992   11  0.009  0.0312  0.0722  0.2064  0.0312  0.08
Tsujii 2005   57  -0.0466  0.0060  0.0354  0.0366  0.0150  0.02
Uninsky 1959   65  -0.0649  0.0058  0.0260  0.0266  0.0161  0.01
Vardi 1988   20  0.0048  0.0047  0.0355  0.0365  0.0245  0.02
Wasowski 1980   34  -0.0140  0.0035  0.0434  0.0465  0.0232  0.03
Zimerman 1975   40  -0.0235  0.0044  0.0348  0.0366  0.0155  0.02
Random 1   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 2   56  -0.037  0.0415  0.0632  0.0925  0.201  0.13
Random 3   66  -0.0620  0.0166  0.0166  0.0166  0.0165  0.01

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).