The aim of this study is to manipulate musical cues systematically to determine the aspects of music that contribute to emotional expression, and whether these cues operate in additive or interactive fashion, and whether the cue levels can be characterized as linear or non-linear. An optimized factorial design was used with six primary musical cues (mode, tempo, dynamics, articulation, timbre, ...

An experiment consists of a collection of units, or plots, to which a number of treatments are applied. In a factorial experiment the effects of several different sets of conditions are compared, e.g., three different temperatures, T1, T2 and T3, and two different pressures, P1 and P2. The conditions are known as factors and the different values the conditions take are known as levels. In a fac...

We give a combinatorial interpretation for the super Catalan number S(m,m + s) for s ≤ 3 using lattice paths and make an attempt at a combinatorial interpretation for s = 4. We also examine the integrality of some factorial ratios.