Index of Movement in Diatonic Sets (2014)

by Vic Dillahay
Published July 29th, 2014.
Buy: Paperback
Read: Scribd


About the Book:

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. Examining the sets’ content does not tell the whole story, since the paths between them are 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.

-Vic Dillahay