## 4 Results
### Correlation Between Perception and Simulation

Table 2: Mean and standard deviations of roughness and separateness perception of the guitar tones. Now, comparing the two roughness plots for guitar (left upper) and non-guitar (right upper) sounds in Figure 7 they show opposite correlations. While the ridge in the guitar plot has a positive correlation, the correlation at the ridge position with the non-guitar tones is slightly negative; this plot shows negative correlations throughout. A similar behaviour holds for the separateness perception in the lower two plots of this figure. On the left, the guitar plot has a positive correlation at the ridge, while the non-guitar tones have a slightly negative correlation there, and are positive in the lower left part. Still, there is a difference between separateness and roughness. While the roughness plot is negative in the lower right corner of the plots for both guitar and non-guitar tones, the separateness plots show negative correlations with the guitar and positive ones with the non-guitar tones. In both cases, roughness and separateness, the ridge is positive with the guitar tones and slightly negative with the non-guitar sounds. Finally, in Figure 8 the correlations of the standard deviations of the perceptual data with the ISI histogram entropy S are shown. They have some similarities with the plots of the mean of the perceptual parameters. Roughness for the guitar sounds again has a ridge at the upper right corner, still the lower right side of the plot is slightly positive, not negative like with the mean values. The roughness for the non-guitar sounds is all negative, like the mean case. For separateness, the guitar sounds have a negative ridge and a positive lower left corner, contrary to the mean values, this contrary behaviour is also seen with the non-guitar sounds compared to the mean case. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Sound** & **Interval** & **Roughness** & **Roughness** & **Separateness** & **Separateness** \\  & & **Mean** & **Std** & **Mean** & **Std** \\ \hline Saung Gauk & Major seventh & 3.25 & 1.80 & 4.86 & 2.53 \\ \hline Saung Gauk & Major sixth & 3.39 & 1.87 & 4.66 & 2.27 \\ \hline Saung Gauk & Major second & 4.00 & 2.64 & 3.72 & 2.31 \\ \hline Dutar & Major seventh & 4.93 & 2.23 & 3.79 & 2.16 \\ \hline Hulusi & Major third & 6.07 & 2.85 & 3.52 & 2.53 \\ \hline Hulusi & Fifth & 5.29 & 3.00 & 2.345 & 1.82 \\ \hline Hulusi & Minor third & 5.71 & 2.417 & 3.31 & 2.19 \\ \hline Hulusi & Major seventh & 6.07 & 2.90 & 3.17 & 2.14 \\ \hline Mbira & Minor third & 2.60 & 1.97 & 3.66 & 2.57 \\ \hline Bama & Fundamental & 3.43 & 2.43 & 2.55 & 1.84 \\ Big Gong & \(\sim\)b2 & & & & \\ \hline Bama & Fundamental & 2.82 & 1.90 & 2.38 & 1.72 \\ Big Gong & \(\sim\)g\#2 & & & & \\ \hline Roneat Deik & Major second & 3.71 & 2.27 & 3.28 & 2.31 \\ \hline Roneat Deik & Two octaves & 2.61 & 2.04 & 2.17 & 2.16 \\  & + major 2 rd & & & & \\ \hline String Pad & Minor second & 4.71 & 2.48 & 3.24 & 2.23 \\ \hline String Pad & Four octaves & 3.07 & 1.92 & 7.86 & 2.08 \\  & + Major third & & & & \\ \hline Piano & Fifth & 2.46 & 1.69 & 4.72 & 2.23 \\ \hline Strings & Minor seventh & 5.75 & 3.04 & 2.55 & 2.06 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Mean and standard deviations of roughness and separateness perception of the non-guitar tones. The standard deviations and the number of peaks N and the amplitude-weighted peak sum W do not show considerable correlations. This points to the same direction as the correlations with the perceptual means, namely, that the entropy correlates better than the number of spikes N or W.  
So, overall, a high standard deviation correlates positively with high entropy values in the lower left corner and negatively with a low entropy in the upper right corner. Therefore, we can conclude that when subjects were concentrating on strong coincidence detection, the lower left corner and negatively with a low entropy in the upper right corner are negatively correlated with a low entropy in the upper right corner.