AMATH 390
数学与音乐
数学基础篇
01
Chord Space and the Torus
02
String Vibration and the Wave Equation
03
Bach and Graph Connectivity
04
All-Interval Rows and ℤ₁₂
05
Turán's Theorem and Counterpoint
06
Graph Coloring and Voice Assignment
07
Information Entropy and All-Interval Rows
08
Shepard Tones and the Tritone Paradox
09
Combination Tones and Nonlinear Acoustics
Jacob Collier 系列
10
Negative Harmony and the Dihedral Group D₁₂
11
Comma Drift and the Impossibility of Perfect Tuning
12
The Circle of Fifths as a Folded Spiral
13
Polyrhythm and Rhythm-Pitch Duality
拓扑数学专篇
14
Tonnetz Hodge Duality
歌剧系列
15
Opera Acoustics and the Singer's Formant
Algebra
EP01: Chord Space and the Torus