Table 1.
Cumulative cents positions of the equal-tempered and the just intonation Bohlen-Pierce scales.
Table 2.
Consonance ratings for the most consonant and dissonant rated BP chords in equal temperament (Mathews et al., 1988).
Means were taken over 72 responses per chord.
Table 3.
Testing whether the just intonation chords can best be considered as 414 items or 66 groups using the LOO Information Criterion.
Fig 1.
Mean consonance (left) and valence (right) ratings with 95% credibility intervals after controlling for a quadratic function of average pitch height. The thick darker blue line shows the 50% interval and the thinner light blue line shows the 95% interval.
Fig 2.
Correlation matrix showing correlations between consonance ratings (left), valence ratings (right) and Roughness, Harmonicity, Spectral Entropy, 12-TET Dissimilarity, GMSI, Average Pitch, and Average Pitch^2.
Fig 3.
Consonance model with all modelled parameters and 95% Bayesian credibility intervals for Experiment 1 and 2.
The thick darker blue line shows the 50% interval and the thinner light blue line shows the 95% interval.
Table 4.
Directed hypothesis testing for consonance.
Fig 4.
Marginal effects plots for GMSI and Harmonicity and GMSI and 12-TET Dissimilarity.
Levels of GMSI represent the mean (0), 1 SD above the mean (1) and 1 SD below the mean (-1).
Fig 5.
Valence model with all modelled parameters and 95% Bayesian credibility intervals for Experiment 1 and 2.
The thick darker blue line shows the 50% interval and the thinner light blue line shows the 95% interval.
Table 5.
Directed hypothesis testing for valence.
Fig 6.
Marginal effects plots for GMSI and Harmonicity and GMSI and Average Pitch.
Levels of GMSI represent the mean (0), 1 SD above the mean (1) and 1 SD below the mean (-1).
Table 6.
Descriptive statistics for roughness, harmonicity, spectral entropy, and 12-TET dissimilarity.
Table 7.
Roughness, harmonicity, spectral entropy and 12-TET dissimilarity values for several high rated chords for consonance and valence.
Table 8.
Roughness, harmonicity, spectral entropy and 12-TET dissimilarity values for several low rated chords for consonance and valence.