Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   58  0.4727  0.0025  0.1226  0.334  0.6824  0.47
Ax 1995   45  0.5428  0.0035  0.1034  0.1028  0.3140  0.18
Bacha 1998   38  0.5629  0.0031  0.0931  0.194  0.7528  0.38
Barbosa 1983   50  0.5249  0.0030  0.0830  0.238  0.6329  0.38
BenOr 1989   12  0.6456  0.0019  0.1415  0.5511  0.6216  0.58
Biret 1990   37  0.5616  0.0043  0.0554  0.0534  0.1157  0.07
Brailowsky 1960   60  0.4610  0.0057  0.0461  0.0436  0.0959  0.06
Chiu 1999   44  0.5420  0.0041  0.0460  0.048  0.6343  0.16
Clidat 1994   46  0.5334  0.0042  0.0651  0.069  0.4742  0.17
Cohen 1997   64  0.3057  0.0064  0.0553  0.0551  0.0465  0.04
Cortot 1951   52  0.5158  0.0060  0.0463  0.0412  0.4747  0.14
Csalog 1996   28  0.5967  0.0036  0.0744  0.0725  0.3245  0.15
Czerny 1989   26  0.6011  0.0024  0.0924  0.3912  0.5723  0.47
Ezaki 2006   27  0.5942  0.0029  0.1128  0.3013  0.5127  0.39
Falvay 1989   5  0.704  0.005  0.184  0.7713  0.635  0.70
Fiorentino 1962   19  0.6230  0.0021  0.1120  0.4523  0.4325  0.44
Fliere 1977   25  0.6036  0.0015  0.1118  0.485  0.6915  0.58
Fou 1978   16  0.6345  0.0010  0.1412  0.6110  0.6313  0.62
Francois 1956   53  0.5059  0.0056  0.0559  0.0543  0.0762  0.06
Goldenweiser 1946   56  0.4912  0.0058  0.0648  0.0638  0.0758  0.06
Gornostaeva 1994   61  0.4543  0.0055  0.0556  0.0521  0.4346  0.15
Groot 1988   34  0.5725  0.0032  0.0832  0.1530  0.2436  0.19
Hatto 1993   2  0.952  0.062  0.962  0.992  1.002  0.99
Hatto 1997   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Horszowski 1983   55  0.5024  0.0051  0.0646  0.067  0.5835  0.19
Indjic 2001   1  0.971  0.941  0.931  1.002  1.001  1.00
Katin 1996   13  0.6321  0.0017  0.1414  0.5515  0.5120  0.53
Kiepura 1999   47  0.5350  0.0049  0.0742  0.0732  0.2648  0.13
Korecka 1992   41  0.5540  0.0054  0.0558  0.0536  0.1055  0.07
Kushner 1990   43  0.5437  0.0044  0.0650  0.0627  0.2949  0.13
Lilamand 2001   57  0.4951  0.0059  0.0464  0.0419  0.3550  0.12
Luisada 1990   10  0.6561  0.0012  0.149  0.667  0.718  0.68
Luisada 2008   20  0.6246  0.0020  0.1422  0.446  0.7118  0.56
Lushtak 2004   8  0.6726  0.007  0.237  0.673  0.727  0.69
Malcuzynski 1951   15  0.6365  0.0011  0.1219  0.474  0.7117  0.58
Malcuzynski 1961   11  0.6460  0.008  0.2310  0.6511  0.6311  0.64
Magaloff 1977   59  0.4631  0.0061  0.0557  0.0561  0.0464  0.04
Magin 1975   29  0.5847  0.0033  0.0733  0.1338  0.0952  0.11
Meguri 1997   40  0.5562  0.0048  0.0937  0.0914  0.5532  0.22
Milkina 1970   21  0.6238  0.0027  0.1025  0.3730  0.1831  0.26
Mohovich 1999   31  0.5741  0.0039  0.0647  0.0644  0.0661  0.06
Nezu 2005   4  0.717  0.004  0.218  0.676  0.736  0.70
Ohlsson 1999   22  0.6115  0.0022  0.0923  0.4012  0.5722  0.48
Olejniczak 1990   14  0.636  0.0028  0.1027  0.3113  0.6026  0.43
Osinska 1989   9  0.6718  0.0013  0.186  0.6914  0.5512  0.62
Perlemuter 1992   63  0.4352  0.0063  0.0652  0.0651  0.0563  0.05
Poblocka 1999   7  0.6732  0.009  0.1411  0.636  0.709  0.66
Rangell 2001   36  0.5653  0.0045  0.0740  0.0712  0.6633  0.21
Richter 1960   49  0.5244  0.0052  0.0743  0.0717  0.4439  0.18
Richter 1961   54  0.5054  0.0050  0.0645  0.0610  0.5538  0.18
Rosen 1989   33  0.5719  0.0046  0.0839  0.0832  0.1951  0.12
Rubinstein 1939   23  0.6113  0.0016  0.1213  0.578  0.7110  0.64
Rubinstein 1952   35  0.5617  0.0038  0.1035  0.1028  0.3341  0.18
Rubinstein 1966   32  0.5763  0.0034  0.0936  0.0938  0.0953  0.09
Rudanovskaya 2007   48  0.5235  0.0053  0.0462  0.0428  0.2254  0.09
Shebanova 2002   42  0.5455  0.0040  0.0555  0.0510  0.5444  0.16
Smith 1975   30  0.5839  0.0037  0.0838  0.0821  0.4934  0.20
Sztompka 1959   62  0.4514  0.0062  0.0649  0.0654  0.0660  0.06
Tanyel 1992   39  0.558  0.0026  0.0929  0.2522  0.5230  0.36
Tsujii 2005   6  0.705  0.006  0.275  0.756  0.674  0.71
Uninsky 1959   17  0.6322  0.0014  0.1016  0.549  0.5519  0.54
Vardi 1988   18  0.629  0.0018  0.1417  0.529  0.7214  0.61
Wasowski 1980   51  0.5233  0.0047  0.0741  0.0719  0.4437  0.18
Zimerman 1975   24  0.6048  0.0023  0.0921  0.4512  0.6121  0.52
Average   3  0.823  0.003  0.853  0.955  0.763  0.85
Random 1   66  0.0066  0.0065  0.0265  0.0217  0.2556  0.07
Random 2   65  0.0164  0.0066  0.0266  0.0234  0.0666  0.03
Random 3   67  -0.0223  0.0067  0.0167  0.0149  0.0467  0.02

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).