Fig. 5.

Foil categories. For each music fractal, we generated the correct continuation (a.) of the recursive process in Fig. 4 and three different foils. The ‘Repetition’ foil (c.) is identical to the third iteration, and fails to continue the process, however it keeps the overall configuration of the auditory sequence (‘ascending’) constant. In both ‘Odd’ (b.) and ‘Positional’ (d.) foils, a new hierarchical level is added to the structure, however, this level is not consistent in contour with the pattern in previous iterations. In ‘Odd’ (b.) foils, the last note of each set of three is of the same pitch as the first note within that set. This disrupts the expected directionality (ascending or descending). In ‘Positional’ foils (d.), the directionality is consistent within each set of three, but not consistent with other hierarchical levels. In this example, the higher level has a descending contour, even though the previous levels display an ascending contour.