Index of Movement in Diatonic Sets

Index of Movement in Diatonic Sets Front CoverBuy Paperback
Free PDF

My previous book, the Thesaurus of Diatonic Sets, describes the relationships between the content of the subsets of the diatonic or other seven-note scales. It served that purpose well, but I soon found a basic flaw in its approach to pandiatonisim. It is careful about the set content but woefully lacking in concern about how sets move, treating all sets with similar content relationships the same. Resolving to the tonic triad from V {2, 5, 7} and IV {R, 4, 6} are the same in terms of set content, as both of these cadential pairs share one common tone while two differ. They are quite different in sound and practice, however, and it is an odd system that cannot distinguish between authentic and plagal cadences. The sets’ content does not tell the whole story, since the paths between sets are a large part of what define their relationships.

I had created a map with every possible destination but no roads. This book adds the roads. It lists the possible movements between any two subsets of a heptatonic scale in a simple to read diatonic movement vector.

Use this book to find:

  • All of the possible intervals between two sets.
  • Chord changes that match a desired voice leading.
  • Progressions with similar harmonic motion, such as dominant-like resolutions in quartal chords.