Rubinstein 1938

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   43  0.5630  0.0043  0.0449  0.0434  0.0837  0.06
Bacha 1997   39  0.5837  0.0046  0.0630  0.0644  0.0631  0.06
Barbosa 1983   36  0.6116  0.0126  0.0825  0.1535  0.0725  0.10
Biret 1990   17  0.699  0.0211  0.1712  0.4412  0.446  0.44
Block 1995   42  0.5728  0.0045  0.0545  0.0523  0.3222  0.13
Brailowsky 1960   26  0.6526  0.0024  0.0722  0.2028  0.0821  0.13
Chiu 1999   37  0.6038  0.0035  0.0638  0.0650  0.0444  0.05
Clidat 1994   10  0.7214  0.0110  0.1610  0.4825  0.1510  0.27
Cohen 1997   33  0.6243  0.0034  0.0629  0.0634  0.0738  0.06
Cortot 1951   11  0.713  0.155  0.235  0.593  0.651  0.62
Csalog 1996   12  0.7124  0.0012  0.1213  0.4427  0.0814  0.19
Czerny 1990   13  0.7045  0.0014  0.1514  0.4234  0.0617  0.16
Ezaki 2006   16  0.6917  0.0117  0.0818  0.3534  0.0618  0.14
Ferenczy 1958   35  0.6220  0.0025  0.0823  0.1848  0.0526  0.09
Fliere 1977   40  0.5839  0.0040  0.0540  0.0548  0.0543  0.05
Fou 1978   28  0.6522  0.0030  0.0633  0.0649  0.0548  0.05
Francois 1956   50  0.4250  0.0049  0.0639  0.0629  0.0830  0.07
Grinberg 1951   44  0.5541  0.0041  0.0543  0.0538  0.0646  0.05
Hatto 1993   29  0.6447  0.0027  0.0927  0.0939  0.0629  0.07
Hatto 1997   24  0.6633  0.0019  0.1117  0.3847  0.0424  0.12
Indjic 2001   31  0.6342  0.0029  0.0632  0.0641  0.0635  0.06
Jonas 1947   23  0.6613  0.0123  0.0626  0.1422  0.2215  0.18
Kapell 1951   9  0.7218  0.016  0.198  0.5440  0.0616  0.18
Kiepura 1999   45  0.5323  0.0037  0.0541  0.0526  0.1328  0.08
Kushner 1989   27  0.6529  0.0032  0.0542  0.0550  0.0452  0.04
Luisada 1991   48  0.4827  0.0044  0.0448  0.0438  0.0641  0.05
Lushtak 2004   15  0.6911  0.0220  0.1019  0.3138  0.0619  0.14
Magaloff 1978   34  0.6225  0.0031  0.0631  0.0636  0.0633  0.06
Meguri 1997   1  0.791  0.261  0.252  0.6519  0.248  0.39
Milkina 1970   22  0.6648  0.0033  0.0634  0.0638  0.0639  0.06
Mohovich 1999   32  0.6231  0.0039  0.0546  0.0546  0.0549  0.05
Niedzielski 1931   38  0.5935  0.0036  0.0544  0.0540  0.0547  0.05
Ohlsson 1999   14  0.7019  0.0113  0.1511  0.4735  0.0813  0.19
Olejniczak 1990   6  0.7340  0.0015  0.1815  0.4026  0.1411  0.24
Osinska 1989   30  0.6312  0.0138  0.0447  0.0427  0.0932  0.06
Rangell 2001   8  0.738  0.039  0.187  0.5523  0.239  0.36
Richter 1976   49  0.4251  0.0050  0.0636  0.0648  0.0450  0.05
Rubinstein 1938   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Rubinstein 1952   4  0.764  0.113  0.244  0.603  0.642  0.62
Rubinstein 1961   5  0.745  0.057  0.156  0.563  0.584  0.57
Rubinstein 1966   7  0.737  0.038  0.179  0.534  0.575  0.55
Shebanova 2002   3  0.776  0.034  0.283  0.615  0.563  0.58
Smidowicz 1948   19  0.6846  0.0022  0.0724  0.1843  0.0527  0.09
Smidowicz 1948b   18  0.6921  0.0021  0.1121  0.2532  0.0723  0.13
Smith 1975   41  0.5744  0.0042  0.0450  0.0449  0.0451  0.04
Sofronitsky 1949   47  0.5132  0.0048  0.0637  0.0648  0.0545  0.05
Sztompka 1959   21  0.6715  0.0118  0.1020  0.277  0.607  0.40
Tomsic 1995   46  0.5236  0.0047  0.0635  0.0631  0.0740  0.06
Uninsky 1971   20  0.6810  0.0216  0.1116  0.3942  0.0520  0.14
Wasowski 1980   25  0.6534  0.0028  0.0728  0.0748  0.0442  0.05
Average Tempo   2  0.772  0.172  0.231  0.7539  0.0512  0.19
Random 1   51  0.0149  0.0051  0.0351  0.0326  0.1434  0.06
Random 2   52  0.0052  0.0053  0.0253  0.0239  0.0553  0.03
Random 3   53  -0.0653  0.0052  0.0252  0.0221  0.1636  0.06

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).