Fractal Music

Structural Scaling

Reel One

Many songs across multiple genres are based on a structure in which a first section, A, is repeated and then followed by a B section that is harmonically or rhythmically different from the A section. These three sections are followed by a final A section. A A B A This AABA template can be used as the generator for a Cantor set. Here is a map of this song showing its three levels of scaling. Each of the small blue blocks represents one measure (4 beats) of music. The green and red blocks represent 4 and 16 measures, respectively. All measures of the same color contain exactly the same, ordered set of notes. Each gray block of any size contains a set of notes that is different from the colored set to its right and left. "Reel One"

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© 2004 Harlan Brothers