The Mathematics of Music

Discussion Topics

This is just a list of topics mentioned in the various articles. It doesn't mean we have to discuss all of these. But maybe we can identify a few topics we are already familiar with or have a special interest in.

→ The reading list

Musical topics

Pitch, Timing, Structure, Tempo, Chord progression Form, Meter, Frequency, Wavelength, Intervals Pythagorean tuning, Just intonation, Musical scales, Modes, Equal temperament Twelve-tone analysis, Roman numeral analysis, Time signatures, Timbre, Algorithmic composition Acoustics, Instrument design, Chromatic scales, Octaves, Harmonics Consonance and dissonance, Digital music, Synthesis, The human ear, Motifs Circle of fifths, Rhythm, Repetition, Translation, Inversion Retrogression, Rotation, Musical groups, Tone rows, Harmonics of different instruments Beats, Jazz vs. classical, Harmony, Physiology, Composition techniques Notation, Onset and duration, The cent scale, Microtonality, Resonance Neuroscience

Math topics

Set theory, Abstract Algebra, Number theory, Logarithms, Golden ratio Fibonacci, Fractals, Transformational theory, Ratios, Fourier analysis Wave equations, Exponents, Stochastic processes, PLR group, Topology Sturmian morphisms, Conjugates, Christoffel duality, Groups, Generators Relations, Mean field approximation, Magic squares, Infinite sequences, Probability Randomness, Combinatorics, Graph Theory, Topography, Denotators Morphisms, Orbits, Symmetry groups, Convolution, Filtering Rings, Matrices, Calculus, Linear predictive coding, Phase-shifting techniques Spectrograms, Fractions, Category Theory