Ax 1995

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   11  0.698  0.0310  0.148  0.5126  0.287  0.38
Ax 1995   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Bacha 1998   32  0.6524  0.0030  0.0728  0.1738  0.0823  0.12
Barbosa 1983   27  0.6511  0.0315  0.0912  0.4123  0.2910  0.34
BenOr 1989   37  0.6443  0.0047  0.0457  0.0462  0.0460  0.04
Biret 1990   13  0.6962  0.0025  0.0818  0.3053  0.0431  0.11
Brailowsky 1960   60  0.5420  0.0159  0.0363  0.0340  0.0743  0.05
Chiu 1999   29  0.6533  0.0035  0.0640  0.0645  0.0639  0.06
Clidat 1994   57  0.5629  0.0060  0.0454  0.0459  0.0364  0.03
Cohen 1997   64  0.4847  0.0061  0.0360  0.0338  0.0849  0.05
Cortot 1951   61  0.5427  0.0049  0.0455  0.0423  0.2535  0.10
Csalog 1996   54  0.597  0.0514  0.0829  0.1662  0.0437  0.08
Czerny 1989   9  0.703  0.094  0.155  0.5714  0.482  0.52
Ezaki 2006   16  0.686  0.0518  0.0819  0.287  0.449  0.35
Falvay 1989   19  0.6856  0.0026  0.0924  0.2141  0.0628  0.11
Fiorentino 1962   42  0.6254  0.0055  0.0446  0.0460  0.0459  0.04
Fliere 1977   30  0.6537  0.0045  0.0450  0.0453  0.0550  0.04
Fou 1978   3  0.745  0.062  0.173  0.639  0.451  0.53
Francois 1956   44  0.6234  0.0032  0.0632  0.138  0.4016  0.23
Goldenweiser 1946   36  0.6438  0.0017  0.0913  0.3921  0.2512  0.31
Gornostaeva 1994   51  0.6030  0.0044  0.0453  0.0465  0.0366  0.03
Groot 1988   35  0.6452  0.0052  0.0542  0.0558  0.0461  0.04
Hatto 1993   15  0.6863  0.0023  0.0726  0.1955  0.0534  0.10
Hatto 1997   20  0.6736  0.0028  0.0727  0.1846  0.0633  0.10
Horszowski 1983   31  0.6565  0.0034  0.0735  0.0758  0.0441  0.05
Indjic 2001   21  0.6766  0.0029  0.0631  0.1459  0.0438  0.07
Katin 1996   50  0.6064  0.0056  0.0545  0.0564  0.0351  0.04
Kiepura 1999   40  0.639  0.0312  0.1714  0.396  0.544  0.46
Korecka 1992   10  0.6921  0.018  0.1510  0.499  0.453  0.47
Kushner 1990   52  0.5917  0.0119  0.0730  0.1631  0.1520  0.15
Lilamand 2001   58  0.5525  0.0057  0.0364  0.0351  0.0654  0.04
Luisada 1990   7  0.7112  0.026  0.166  0.5733  0.1713  0.31
Luisada 2008   18  0.6810  0.0311  0.1711  0.4232  0.1414  0.24
Lushtak 2004   24  0.6658  0.0037  0.0734  0.0759  0.0447  0.05
Malcuzynski 1951   63  0.5244  0.0053  0.0449  0.0454  0.0562  0.04
Malcuzynski 1961   43  0.6255  0.0040  0.0638  0.0652  0.0545  0.05
Magaloff 1977   25  0.6532  0.0038  0.0544  0.0551  0.0546  0.05
Magin 1975   4  0.7414  0.015  0.174  0.6223  0.265  0.40
Meguri 1997   46  0.6248  0.0054  0.0458  0.0448  0.0553  0.04
Milkina 1970   34  0.6441  0.0027  0.1020  0.2753  0.0524  0.12
Mohovich 1999   55  0.5826  0.0042  0.0448  0.0456  0.0458  0.04
Nezu 2005   28  0.6528  0.0024  0.0623  0.2237  0.0727  0.12
Ohlsson 1999   33  0.6516  0.0143  0.0451  0.0459  0.0452  0.04
Olejniczak 1990   14  0.6831  0.0016  0.0821  0.2739  0.0721  0.14
Osinska 1989   5  0.7213  0.027  0.139  0.5140  0.0618  0.17
Perlemuter 1992   62  0.5459  0.0063  0.0362  0.0364  0.0363  0.03
Poblocka 1999   6  0.7219  0.019  0.157  0.5427  0.248  0.36
Rangell 2001   48  0.6118  0.0148  0.0459  0.0421  0.3130  0.11
Richter 1960   49  0.6061  0.0046  0.0452  0.0458  0.0455  0.04
Richter 1961   38  0.6415  0.0136  0.0636  0.0624  0.3619  0.15
Rosen 1989   47  0.6139  0.0050  0.0447  0.0437  0.0748  0.05
Rubinstein 1939   23  0.6622  0.0121  0.0717  0.3056  0.0522  0.12
Rubinstein 1952   26  0.6549  0.0031  0.0825  0.1944  0.0632  0.11
Rubinstein 1966   2  0.754  0.083  0.152  0.6422  0.236  0.38
Rudanovskaya 2007   59  0.5546  0.0062  0.0456  0.0455  0.0457  0.04
Shebanova 2002   53  0.5960  0.0058  0.0361  0.0358  0.0556  0.04
Smith 1975   56  0.5767  0.0064  0.0543  0.0558  0.0544  0.05
Sztompka 1959   8  0.702  0.1013  0.1216  0.3318  0.3311  0.33
Tanyel 1992   39  0.6351  0.0051  0.0541  0.0534  0.0740  0.06
Tsujii 2005   17  0.6823  0.0020  0.1015  0.3563  0.0426  0.12
Uninsky 1959   22  0.6653  0.0033  0.0633  0.1250  0.0536  0.08
Vardi 1988   41  0.6342  0.0039  0.0637  0.0626  0.2325  0.12
Wasowski 1980   45  0.6240  0.0041  0.0639  0.0651  0.0542  0.05
Zimerman 1975   12  0.6935  0.0022  0.0722  0.2529  0.1917  0.22
Average   1  0.771  0.281  0.281  0.7440  0.0715  0.23
Random 1   67  -0.0257  0.0066  0.0266  0.0240  0.0465  0.03
Random 2   66  0.0050  0.0067  0.0167  0.0139  0.0667  0.02
Random 3   65  0.0945  0.0065  0.0365  0.0314  0.3929  0.11

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).