Mathematical and Computational Modeling of Tonality

Theory and Applications

Authors:

ISBN: 978-1-4614-9474-4 (Print) 978-1-4614-9475-1 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv

  2. Introduction

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-18

      Tonality

    3. No Access

      Chapter

      Pages 19-37

      An Abbreviated Survey

  3. The Model

    1. Front Matter

      Pages 39-39

    2. No Access

      Chapter

      Pages 41-60

      The Spiral Array

  4. Key Finding

    1. Front Matter

      Pages 61-61

    2. No Access

      Chapter

      Pages 63-71

      The CEG Algorithm (Part I)

    3. No Access

      Chapter

      Pages 73-91

      The CEG Algorithm (Part II): Validation

  5. Segmentation

    1. Front Matter

      Pages 93-93

    2. No Access

      Chapter

      Pages 95-107

      Determining Key Boundaries

    3. No Access

      Chapter

      Pages 109-130

      Argus Segmentation Method

  6. Pitch Spelling

    1. Front Matter

      Pages 131-131

    2. No Access

      Chapter

      Pages 133-156

      Real-Time Pitch Spelling

  7. Visualization

    1. Front Matter

      Pages 157-157

    2. No Access

      Chapter

      Pages 159-178

      MuSA.RT

    3. No Access

      Chapter

      Pages 179-190

      Visible Humor

  8. Extensions

    1. Front Matter

      Pages 191-191

    2. No Access

      Chapter

      Pages 193-222

      Sensitivity Analysis

  9. Back Matter

    Pages 223-305