Rangell 2001

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   13  0.5315  0.0117  0.1116  0.5252  0.0527  0.16
Ax 1995   38  0.4331  0.0042  0.0545  0.0558  0.0552  0.05
Bacha 1998   56  0.3557  0.0057  0.0548  0.0552  0.0647  0.05
Barbosa 1983   27  0.489  0.0111  0.1125  0.4541  0.0721  0.18
BenOr 1989   31  0.4544  0.0049  0.0455  0.0463  0.0463  0.04
Biret 1990   55  0.3837  0.0045  0.0553  0.0561  0.0464  0.04
Brailowsky 1960   53  0.3959  0.0056  0.0546  0.0560  0.0543  0.05
Chiu 1999   49  0.4023  0.0041  0.0457  0.0442  0.0645  0.05
Clidat 1994   43  0.4151  0.0029  0.1130  0.3344  0.0533  0.13
Cohen 1997   45  0.4135  0.0053  0.0643  0.0615  0.4428  0.16
Cortot 1951   50  0.4040  0.0055  0.0552  0.0535  0.0841  0.06
Csalog 1996   44  0.4116  0.0137  0.0836  0.0855  0.0540  0.06
Czerny 1989   17  0.5210  0.0125  0.1126  0.4452  0.0529  0.15
Ezaki 2006   11  0.5430  0.0014  0.129  0.6357  0.0519  0.18
Falvay 1989   5  0.5811  0.019  0.157  0.6855  0.0615  0.20
Fiorentino 1962   41  0.4234  0.0038  0.0639  0.0656  0.0551  0.05
Fliere 1977   20  0.5129  0.0021  0.1018  0.5038  0.0813  0.20
Fou 1978   15  0.5320  0.0026  0.1420  0.4851  0.0622  0.17
Francois 1956   52  0.3955  0.0036  0.0638  0.0657  0.0553  0.05
Goldenweiser 1946   61  0.3033  0.0061  0.0461  0.0463  0.0455  0.04
Gornostaeva 1994   48  0.4052  0.0046  0.0456  0.0461  0.0462  0.04
Groot 1988   58  0.3356  0.0059  0.0460  0.0460  0.0465  0.04
Hatto 1993   8  0.5613  0.016  0.246  0.7135  0.097  0.25
Hatto 1997   3  0.594  0.123  0.293  0.7642  0.0710  0.23
Horszowski 1983   60  0.3062  0.0062  0.0462  0.0456  0.0454  0.04
Indjic 2001   6  0.5726  0.005  0.194  0.7334  0.116  0.28
Katin 1996   18  0.527  0.0312  0.1011  0.5952  0.0618  0.19
Kiepura 1999   35  0.4445  0.0040  0.0641  0.0660  0.0542  0.05
Korecka 1992   57  0.3460  0.0058  0.0737  0.0759  0.0539  0.06
Kushner 1990   25  0.4917  0.0028  0.1123  0.4548  0.0625  0.16
Lilamand 2001   64  0.2758  0.0064  0.0549  0.0553  0.0458  0.04
Luisada 1990   42  0.4149  0.0048  0.0550  0.0558  0.0650  0.05
Luisada 2008   40  0.4238  0.0044  0.0547  0.0557  0.0549  0.05
Lushtak 2004   2  0.601  0.231  0.222  0.8030  0.184  0.38
Malcuzynski 1951   22  0.5046  0.0027  0.1227  0.4055  0.0631  0.15
Malcuzynski 1961   14  0.5347  0.0023  0.1015  0.5359  0.0620  0.18
Magaloff 1977   63  0.2865  0.0060  0.0463  0.0459  0.0559  0.04
Magin 1975   39  0.4341  0.0052  0.0642  0.0660  0.0546  0.05
Meguri 1997   26  0.4918  0.0015  0.1221  0.4828  0.303  0.38
Milkina 1970   23  0.5024  0.0016  0.1112  0.5845  0.099  0.23
Mohovich 1999   28  0.4863  0.0031  0.1428  0.3652  0.0534  0.13
Nezu 2005   10  0.558  0.028  0.2710  0.6049  0.0716  0.20
Ohlsson 1999   12  0.5364  0.0022  0.0919  0.4944  0.0912  0.21
Olejniczak 1990   34  0.4539  0.0035  0.0935  0.0963  0.0537  0.07
Osinska 1989   19  0.5125  0.0024  0.1117  0.5147  0.0814  0.20
Perlemuter 1992   51  0.3922  0.0034  0.1034  0.1010  0.3617  0.19
Poblocka 1999   36  0.4442  0.0047  0.0554  0.0555  0.0544  0.05
Rangell 2001   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Richter 1960   30  0.4714  0.0118  0.1031  0.3225  0.265  0.29
Richter 1961   32  0.456  0.0810  0.1122  0.4710  0.532  0.50
Rosen 1989   29  0.4719  0.0030  0.1229  0.3648  0.0630  0.15
Rubinstein 1939   47  0.4132  0.0033  0.1033  0.1958  0.0536  0.10
Rubinstein 1952   46  0.4128  0.0043  0.0544  0.0563  0.0466  0.04
Rubinstein 1966   33  0.4566  0.0039  0.0640  0.0662  0.0448  0.05
Rudanovskaya 2007   62  0.2943  0.0063  0.0364  0.0360  0.0467  0.03
Shebanova 2002   4  0.583  0.124  0.225  0.733  0.671  0.70
Smith 1975   54  0.3836  0.0050  0.0459  0.0459  0.0556  0.04
Sztompka 1959   59  0.3327  0.0054  0.0458  0.0460  0.0557  0.04
Tanyel 1992   16  0.5221  0.0013  0.1214  0.5361  0.0526  0.16
Tsujii 2005   7  0.575  0.107  0.318  0.6639  0.098  0.24
Uninsky 1959   9  0.5512  0.0119  0.1013  0.5658  0.0523  0.17
Vardi 1988   21  0.5148  0.0020  0.1224  0.4550  0.0624  0.16
Wasowski 1980   37  0.4467  0.0051  0.0551  0.0539  0.0838  0.06
Zimerman 1975   24  0.5050  0.0032  0.0932  0.2454  0.0635  0.12
Average   1  0.632  0.162  0.301  0.8356  0.0611  0.22
Random 1   67  -0.0461  0.0067  0.0167  0.0127  0.1360  0.04
Random 2   65  0.0953  0.0065  0.0365  0.031  0.7032  0.14
Random 3   66  0.0054  0.0066  0.0266  0.0230  0.1061  0.04

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).