Random 1

Performance0-Rank  0-Score1-Rank  1-Score2-Rank  2-Score3-Rank  3-Score3R-Rank  3R-Score4-Rank  4-Score  NED
Ashkenazy 1981   11  0.077  0.056  0.155  0.5046  0.046  0.14
Bacha 1997   53  -0.0938  0.0053  0.0253  0.0253  0.0248  0.02
Barbosa 1983   50  -0.0234  0.0037  0.0445  0.0452  0.0344  0.03
Biret 1990   46  0.0046  0.0048  0.0349  0.0353  0.0252  0.02
Block 1995   28  0.0424  0.0131  0.0627  0.0650  0.0424  0.05
Brailowsky 1960   31  0.0313  0.019  0.129  0.4251  0.047  0.13
Chiu 1999   23  0.0421  0.017  0.1711  0.4051  0.048  0.13
Clidat 1994   25  0.048  0.0417  0.0719  0.2151  0.0416  0.09
Cohen 1997   40  0.0148  0.0033  0.0537  0.0553  0.0242  0.03
Cortot 1951   38  0.0218  0.0143  0.0629  0.0652  0.0335  0.04
Csalog 1996   32  0.0323  0.0122  0.1018  0.2252  0.0222  0.07
Czerny 1990   20  0.0540  0.0029  0.0539  0.0552  0.0334  0.04
Ezaki 2006   29  0.0333  0.0035  0.0531  0.0553  0.0236  0.03
Ferenczy 1958   42  0.0136  0.0041  0.0536  0.0551  0.0328  0.04
Fliere 1977   44  0.0037  0.0021  0.0820  0.2152  0.0319  0.08
Fou 1978   49  -0.0245  0.0045  0.0538  0.0553  0.0240  0.03
Francois 1956   51  -0.0331  0.0051  0.0446  0.0453  0.0247  0.03
Grinberg 1951   48  -0.0127  0.0050  0.0352  0.0353  0.0250  0.02
Hatto 1993   43  0.0041  0.0047  0.0348  0.0352  0.0253  0.02
Hatto 1997   37  0.0251  0.0046  0.0447  0.0453  0.0238  0.03
Indjic 2001   45  0.0052  0.0049  0.0350  0.0353  0.0251  0.02
Jonas 1947   5  0.104  0.058  0.133  0.5351  0.044  0.15
Kapell 1951   34  0.0347  0.0036  0.0628  0.0652  0.0332  0.04
Kiepura 1999   9  0.0820  0.0115  0.1215  0.2852  0.0314  0.09
Kushner 1989   33  0.0326  0.0044  0.0540  0.0553  0.0241  0.03
Luisada 1991   36  0.0239  0.0039  0.0541  0.0550  0.0427  0.04
Lushtak 2004   24  0.0414  0.0119  0.0822  0.1849  0.0517  0.09
Magaloff 1978   8  0.083  0.153  0.158  0.4451  0.0215  0.09
Meguri 1997   26  0.049  0.0140  0.0443  0.0452  0.0345  0.03
Milkina 1970   10  0.0735  0.0025  0.0525  0.0951  0.0326  0.05
Mohovich 1999   15  0.0622  0.0123  0.0623  0.1452  0.0225  0.05
Niedzielski 1931   22  0.0417  0.0127  0.0542  0.0550  0.0431  0.04
Ohlsson 1999   14  0.0632  0.0020  0.0817  0.2351  0.0221  0.07
Olejniczak 1990   47  -0.0125  0.0038  0.0444  0.0453  0.0246  0.03
Osinska 1989   16  0.0649  0.0030  0.0530  0.0552  0.0329  0.04
Rangell 2001   41  0.0142  0.0018  0.0821  0.2049  0.0418  0.09
Richter 1976   2  0.132  0.152  0.252  0.5851  0.045  0.15
Rubinstein 1938   30  0.036  0.054  0.184  0.5251  0.0311  0.12
Rubinstein 1952   18  0.0528  0.0024  0.0624  0.1151  0.0323  0.06
Rubinstein 1961   3  0.111  0.271  0.261  0.6949  0.043  0.17
Rubinstein 1966   12  0.0715  0.0111  0.166  0.4551  0.0312  0.12
Shebanova 2002   27  0.0430  0.0042  0.0533  0.0552  0.0239  0.03
Smidowicz 1948   13  0.0629  0.0026  0.0526  0.0951  0.0233  0.04
Smidowicz 1948b   4  0.1016  0.0113  0.1113  0.3650  0.0313  0.10
Smith 1975   39  0.0112  0.0110  0.167  0.4551  0.0310  0.12
Sofronitsky 1949   52  -0.0844  0.0052  0.0351  0.0353  0.0249  0.02
Sztompka 1959   21  0.0543  0.0016  0.0716  0.2852  0.0220  0.07
Tomsic 1995   7  0.0910  0.0112  0.1210  0.4251  0.049  0.13
Uninsky 1971   35  0.0219  0.0134  0.0532  0.0551  0.0243  0.03
Wasowski 1980   19  0.0550  0.0032  0.0534  0.0553  0.0237  0.03
Average Tempo   17  0.0653  0.0028  0.0535  0.0551  0.0330  0.04
Random 1   target  targettarget  targettarget  targettarget  targettarget  targettarget  target
Random 2   6  0.0911  0.0114  0.1214  0.3316  0.382  0.35
Random 3   1  0.155  0.055  0.1412  0.4010  0.471  0.43

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).