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
定理索引 数学领域 关于

Combinatorics

EP05: Turán's Theorem and Counterpoint
EP06: Graph Coloring and Voice Assignment
EP07: Information Entropy and All-Interval Rows
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