Calculating Sign Vectors | Which hyperplane arrangement to choose? | Other structural properties

Main Concepts | Hyperplane Arrangements | Debussy's La fille aux cheveux de lin

Introduction | 1.2: Scales, intervals, etc. | 1.3: Hyperplane arrangements | 2: Symmetries of MCT Arrangements | 3: Orbits as equivalence classes of scale structure | 3.1: Brightness Graphs | 3.2: Well-Formedness | Orbits are called "Scale Palettes" | 4: Symmetrical Scales | Looking for symmetries of a set | Postscript on $M_5$ and $M_7$

Introduction | How acoustic is the "acoustic scale"? | 1. Introducing the main characters | 2. A few supporting characters | 3. But what about scale structure? | 4. Looking for better approximations outside of 12edo | 5. A tempered conclusion | Coda: Brightness graphs

Introduction | Seven Notes, Tetrachords, and Two Dimensions | Defining the Spaces | Familiar Scales as Landmarks | Visualize all the colors | Optimizing evenness on the "double harmonic" flat | Smoother Images | Familiar Ground | Other Properties | A Caveat | Conclusion