ideaPlanned
Perfectly Balanced Rhythm
Planned tool for distributing beats as evenly as possible around a cycle, connecting rhythm to modular arithmetic.
Beauty in maths topic
Maths in Music
Music is full of mathematics: rhythm, timing, frequency ratios, symmetry, cycles, waves, networks and algorithmic pattern.
6
live pages
0
prototype tools
7
planned ideas
What this area includes
Balanced rhythms, Euclidean patterns and modular arithmetic
Non-Euclidean music, musical spaces and geometry
Tuning systems, frequency ratios and equal temperament
Tempo, phase, polyrhythm and timing
Sound waves, harmonics, Fourier ideas and timbre
Algorithmic composition, randomness and musical graphs
Questions to explore
What makes a rhythm feel evenly spread?
Why do simple frequency ratios often sound consonant?
What changes when music is treated as a space, graph or algorithm?
How can strict mathematical rules still produce something expressive?
Planned directions
These ideas are not built yet, but they show where this topic could grow next.
ideaPlanned
Non-Euclidean Music
Planned exploration of musical patterns generated by curved, warped or graph-like spaces.
ideaPlanned
Tuning and Ratios
Planned investigation of frequency ratios, consonance, equal temperament and why perfect intervals are not always compatible.
ideaPlanned
Timing, Tempo and Polyrhythm
Planned visualiser for beats, subdivisions, least common multiples, phase and rhythmic cycles.
ideaPlanned
Sound Waves and Fourier
Planned bridge from musical timbre to waves, harmonics and decomposing sound into simpler frequencies.
ideaPlanned
Musical Graphs
Planned exploration of chord progressions, voice leading and melodic movement as networks.
ideaPlanned
Algorithmic Composition
Planned tool for creating musical ideas from rules, randomness, Markov chains and cellular automata.
Connected topics
themeLive
Beauty in Maths
A portal for connected mathematical explorations: pattern, surprise, structure, nature and emergence.
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Number and Structure
Irrational numbers, ratios, exactness, approximation and hidden structure.
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Geometry and Transformations
Matrices, complex numbers, transformations, symmetry and visual structure.
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Emergence and Chaos
Simple rules producing behaviour that feels rich, alive or unpredictable.
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Graphs and Networks
Nodes, edges, algorithms, networks, colourings and connected structures.
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Information Theory
Entropy, compression, communication, error correction and the mathematics of messages.
How to use this section
This section will connect listening, pattern-making and mathematical exploration: predict the structure, hear or see the result, then adjust the rule and try again.