Article ID: | iaor20071071 |
Country: | United States |
Volume: | 18 |
Issue: | 3 |
Start Page Number: | 305 |
End Page Number: | 320 |
Publication Date: | Jun 2006 |
Journal: | INFORMS Journal On Computing |
Authors: | Chew Elaine |
Keywords: | music |
This paper presents the spiral array model and its associated algorithms for tonal induction, approximation, and segmentation. The spiral array is a geometric model for tonality that clusters perceptually similar tonal entities. The model summarizes music information as interior points inside an array of spirals. Distances in the spiral array space are used to quantify tonal similarity. The paper traces the evolution, and presents general forms, of the existing algorithms for key finding, pitch spelling, and segmentation, and proposes a new