Hatto 1997

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   33  0.7315  0.0023  0.0826  0.2717  0.3725  0.32
Ax 1995   49  0.6711  0.0052  0.0646  0.0627  0.1848  0.10
Bacha 1998   23  0.7627  0.0022  0.1620  0.4211  0.5120  0.46
Barbosa 1983   47  0.6934  0.0018  0.0919  0.444  0.6314  0.53
BenOr 1989   17  0.7861  0.0027  0.1027  0.2514  0.5323  0.36
Biret 1990   20  0.7723  0.0029  0.0729  0.2341  0.0647  0.12
Brailowsky 1960   50  0.6754  0.0045  0.0650  0.0620  0.3340  0.14
Chiu 1999   34  0.7350  0.0037  0.0741  0.079  0.3836  0.16
Clidat 1994   41  0.7019  0.0036  0.0743  0.0717  0.4733  0.18
Cohen 1997   64  0.457  0.0064  0.0461  0.0457  0.0464  0.04
Cortot 1951   60  0.6112  0.0058  0.0556  0.0550  0.0465  0.04
Csalog 1996   28  0.7622  0.0035  0.0742  0.0722  0.3538  0.16
Czerny 1989   37  0.7224  0.0030  0.0730  0.188  0.5326  0.31
Ezaki 2006   43  0.7043  0.0051  0.0653  0.0621  0.2842  0.13
Falvay 1989   4  0.8617  0.004  0.314  0.702  0.624  0.66
Fiorentino 1962   35  0.7325  0.0048  0.0745  0.0739  0.0752  0.07
Fliere 1977   12  0.8029  0.0017  0.0813  0.505  0.628  0.56
Fou 1978   19  0.7742  0.0013  0.0816  0.476  0.5416  0.50
Francois 1956   61  0.5844  0.0062  0.0459  0.0454  0.0466  0.04
Goldenweiser 1946   53  0.6514  0.0042  0.0837  0.0826  0.2243  0.13
Gornostaeva 1994   40  0.7162  0.0043  0.0739  0.0717  0.4534  0.18
Groot 1988   7  0.8163  0.0010  0.0812  0.5115  0.4021  0.45
Hatto 1993   2  0.982  0.092  0.952  0.992  0.992  0.99
Hatto 1997   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Horszowski 1983   42  0.7010  0.0031  0.0731  0.1419  0.3029  0.20
Indjic 2001   1  0.981  0.901  0.891  0.992  0.991  0.99
Katin 1996   13  0.7845  0.0019  0.1015  0.499  0.5415  0.51
Kiepura 1999   62  0.5636  0.0057  0.0464  0.0437  0.0561  0.04
Korecka 1992   26  0.7646  0.0025  0.0925  0.285  0.5222  0.38
Kushner 1990   56  0.6364  0.0046  0.0651  0.0640  0.0654  0.06
Lilamand 2001   63  0.565  0.0056  0.0462  0.0447  0.0657  0.05
Luisada 1990   15  0.7839  0.0012  0.1010  0.5417  0.4217  0.48
Luisada 2008   24  0.7628  0.0028  0.0828  0.2317  0.3327  0.28
Lushtak 2004   38  0.729  0.0049  0.0934  0.0952  0.0455  0.06
Malcuzynski 1951   54  0.6551  0.0032  0.0633  0.1216  0.2931  0.19
Malcuzynski 1961   22  0.774  0.0011  0.109  0.567  0.5312  0.54
Magaloff 1977   31  0.7526  0.0041  0.0936  0.0918  0.3832  0.18
Magin 1975   11  0.8037  0.0014  0.0811  0.545  0.637  0.58
Meguri 1997   45  0.6955  0.0055  0.0555  0.0531  0.1749  0.09
Milkina 1970   46  0.6952  0.0044  0.0744  0.0744  0.0653  0.06
Mohovich 1999   51  0.6730  0.0050  0.0649  0.0647  0.0559  0.05
Nezu 2005   16  0.7818  0.0026  0.0823  0.2917  0.4124  0.34
Ohlsson 1999   6  0.8131  0.006  0.166  0.609  0.5310  0.56
Olejniczak 1990   27  0.7656  0.0040  0.0652  0.0624  0.3044  0.13
Osinska 1989   21  0.7747  0.008  0.0924  0.2828  0.1530  0.20
Perlemuter 1992   57  0.6257  0.0060  0.0460  0.0436  0.0656  0.05
Poblocka 1999   8  0.818  0.0015  0.118  0.588  0.5211  0.55
Rangell 2001   59  0.6258  0.0061  0.0557  0.0543  0.0560  0.05
Richter 1960   39  0.7120  0.0047  0.0654  0.0622  0.2545  0.12
Richter 1961   52  0.6640  0.0054  0.0838  0.0829  0.2541  0.14
Rosen 1989   44  0.6965  0.0039  0.0648  0.0627  0.2446  0.12
Rubinstein 1939   30  0.7516  0.009  0.0818  0.4512  0.4719  0.46
Rubinstein 1952   29  0.7632  0.0021  0.1414  0.499  0.4518  0.47
Rubinstein 1966   25  0.7648  0.0024  0.0922  0.3331  0.1528  0.22
Rudanovskaya 2007   55  0.6459  0.0063  0.0558  0.0551  0.0462  0.04
Shebanova 2002   9  0.8153  0.005  0.237  0.594  0.606  0.59
Smith 1975   36  0.7360  0.0038  0.0647  0.0615  0.4437  0.16
Sztompka 1959   14  0.786  0.0020  0.1117  0.463  0.679  0.56
Tanyel 1992   58  0.6221  0.0059  0.0463  0.0462  0.0463  0.04
Tsujii 2005   18  0.7841  0.0033  0.0732  0.1336  0.0650  0.09
Uninsky 1959   5  0.8249  0.007  0.165  0.624  0.575  0.59
Vardi 1988   48  0.6813  0.0053  0.0935  0.0923  0.3135  0.17
Wasowski 1980   32  0.7366  0.0034  0.0740  0.0721  0.3339  0.15
Zimerman 1975   10  0.8033  0.0016  0.0921  0.424  0.6913  0.54
Average   3  0.883  0.003  0.763  0.907  0.603  0.73
Random 1   67  -0.0238  0.0066  0.0266  0.0217  0.2451  0.07
Random 2   65  0.0467  0.0067  0.0167  0.0123  0.2358  0.05
Random 3   66  0.0135  0.0065  0.0265  0.0261  0.0367  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).