Perahia 1994

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Afanassiev 2001   41  0.3833  0.0031  0.0831  0.1514  0.4627  0.26
Ashkenazy 1981   45  0.3720  0.0043  0.0745  0.0723  0.2437  0.13
Beliavsky 2004   31  0.4218  0.0021  0.0920  0.365  0.6716  0.49
BenOr 1989   20  0.4645  0.0019  0.0917  0.4030  0.2724  0.33
Biret 1990   24  0.4424  0.0030  0.0930  0.1624  0.2232  0.19
Blet 2003   54  0.3064  0.0056  0.0554  0.0561  0.0461  0.04
Block 1995   22  0.4444  0.0037  0.0740  0.0732  0.1144  0.09
Brailowsky 1960   39  0.3962  0.0035  0.0743  0.0744  0.0846  0.07
Chiu 1999   32  0.4114  0.0028  0.0925  0.268  0.5222  0.37
Clidat 1994   3  0.592  0.104  0.313  0.732  0.802  0.76
Cohen 1997   63  0.2034  0.0047  0.0648  0.0627  0.2041  0.11
Coop 1987   7  0.5328  0.0010  0.2110  0.5917  0.4613  0.52
Cortot 1951   47  0.356  0.0241  0.0839  0.0816  0.5031  0.20
Czerny 1949   30  0.4211  0.0140  0.0836  0.0834  0.1143  0.09
Czerny 1949b   29  0.4327  0.0039  0.0835  0.0820  0.3334  0.16
Ezaki 2006   33  0.4110  0.0132  0.0632  0.1135  0.1338  0.12
Falvay 1989   42  0.3752  0.0045  0.0742  0.0757  0.0456  0.05
Ferenczy 1958   34  0.4138  0.0038  0.1133  0.1137  0.1042  0.10
Fiorentino 1962   56  0.3053  0.0057  0.0458  0.0457  0.0563  0.04
Fliere 1977   48  0.3547  0.0046  0.0647  0.0641  0.0649  0.06
Fou 1978   49  0.3430  0.0049  0.0459  0.0451  0.0560  0.04
Francois 1956   57  0.2949  0.0061  0.0456  0.0450  0.0564  0.04
Hatto 1997   16  0.4840  0.0014  0.1215  0.499  0.6311  0.56
Horowitz 1971   5  0.558  0.026  0.315  0.674  0.723  0.69
Horowitz 1985   25  0.4331  0.0027  0.0828  0.2212  0.4825  0.32
Indjic 2001   17  0.4825  0.0015  0.1314  0.5012  0.6112  0.55
Kapell 1951   52  0.3365  0.0055  0.0555  0.0539  0.0752  0.06
Kiepura 1999   27  0.4316  0.0034  0.0837  0.0830  0.1439  0.11
Kilenyi 1937   50  0.3435  0.0048  0.0549  0.0534  0.0947  0.07
Kissin 1993   6  0.549  0.017  0.157  0.635  0.705  0.66
Kitain 1937   37  0.3943  0.0024  0.0923  0.283  0.7419  0.46
Kushner 1990   43  0.3736  0.0042  0.0646  0.0639  0.0753  0.06
Levy 1951   28  0.4315  0.0022  0.1022  0.3215  0.4521  0.38
Luisada 1990   62  0.2454  0.0063  0.0457  0.0455  0.0562  0.04
Lushtak 2004   2  0.614  0.082  0.312  0.773  0.801  0.78
Lympany 1968   14  0.4823  0.0018  0.0918  0.408  0.5915  0.49
Magaloff 1977   44  0.3750  0.0053  0.0741  0.0726  0.2835  0.14
Magaloff 1977b   46  0.3556  0.0052  0.0552  0.0522  0.2340  0.11
Magin 1975   55  0.3048  0.0059  0.0363  0.0360  0.0365  0.03
Milkina 1970   4  0.573  0.103  0.374  0.738  0.644  0.68
Mohovich 1999   13  0.497  0.0212  0.1312  0.547  0.6410  0.59
Nadelmann 1956   12  0.5041  0.0013  0.1611  0.5512  0.3818  0.46
Ohlsson 1999   38  0.3919  0.0025  0.0926  0.2619  0.3026  0.28
Olejniczac 1990   58  0.2863  0.0060  0.0460  0.0440  0.0954  0.06
Olejniczak 1991   53  0.3058  0.0054  0.0553  0.0548  0.0751  0.06
Osinska 1989   35  0.4061  0.0044  0.0838  0.0851  0.0550  0.06
Paderewski 1912   40  0.3832  0.0036  0.0934  0.0919  0.3233  0.17
Perahia 1994   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Perlemuter 1986   36  0.4013  0.0029  0.0829  0.1928  0.2129  0.20
Poblocka 1999   18  0.4629  0.0023  0.1024  0.2816  0.4323  0.35
Rangell 2001   19  0.4617  0.0020  0.0821  0.358  0.6317  0.47
Risler 1920   61  0.2566  0.0062  0.0551  0.0563  0.0359  0.04
Rosen 1989   60  0.2837  0.0058  0.0462  0.0443  0.0955  0.06
Rubinstein 1939   11  0.5122  0.0011  0.1613  0.5312  0.4714  0.50
Rubinstein 1952   26  0.4355  0.0026  0.0827  0.2431  0.2428  0.24
Rubinstein 1966   23  0.4457  0.0017  0.1119  0.3633  0.1130  0.20
Rummel 1943   51  0.3460  0.0051  0.0550  0.0539  0.0657  0.05
Shebanova 2002   8  0.535  0.038  0.216  0.636  0.638  0.63
Smith 1975   10  0.5126  0.005  0.279  0.622  0.647  0.63
Szpilman 1948   59  0.2839  0.0050  0.0461  0.0459  0.0558  0.04
Uninsky 1971   9  0.5221  0.009  0.178  0.632  0.706  0.66
Wasowski 1980   21  0.4512  0.0133  0.0744  0.0726  0.2336  0.13
Weissenberg 1971   15  0.4846  0.0016  0.2016  0.416  0.4920  0.45
Average   1  0.681  0.541  0.541  0.8214  0.429  0.59
Random 1    66  -0.0559  0.0066  0.0166  0.0159  0.0366  0.02
Random 2   65  0.0142  0.0065  0.0265  0.0225  0.2548  0.07
Random 3   64  0.0451  0.0064  0.0264  0.0210  0.3445  0.08

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).