Examples#
Every page here is a notebook you can run. They are grouped by what you are trying to do rather than by which module does it.
If you are new, start with Peaks extraction methods — almost everything else begins with a set of spectral peaks.
Start here#
Five ways to find the frequencies that matter in a signal, and how much they disagree.
The visualisation API, walked through on rich synthetic signals.
How harmonic is a set of peaks? The measures, side by side.
Signals and spectra#
Harmonicity metrics computed straight off an existing MNE object.
Harmonicity across the whole spectrum, not only at the peaks.
Which classic series — Fibonacci, primes, powers — does a signal follow?
A practical tour of resonance, harmonic spectrum and connectivity.
Comodulograms: which phase drives which amplitude, and how strongly.
Music from signals#
Turning a recording’s peaks into a playable scale.
From the piano’s white keys to fitting a scale to a biosignal, with audio. Start here for MOS.
The labyrinth in depth: modes, temperaments, just intonation, trajectories, Fourier scratching.
Ten interactive widgets. Drag a generator and watch the scale follow.
Chords derived from the spectrum of a biosignal.
Pulses distributed as evenly as a step count allows, driven by a signal.
Harmonic geometry#
Chords rendered as shape: closed-form curves, eigenmodes, and the metrics that compare them.
Closed-form figures and damped harmonograph traces.
Eigenmodes of the wave equation on a bounded medium.
A ratio set wrapped onto a circle, once per equave.
Deterministic fractal and generative layouts.
Harmonic knots and other 3-D generators.
Comparing geometries, and morphing one chord into another.
Sand on a square plate, driven by a chord.
Media — chord-driven response operators#
Give a physical medium a chord and see what it does.
How a medium is defined, and how media chain together.
Standing waves on plates, spheres, crystals and pressure fields.
Faraday instability, granular density, streamlines, streaming.
Snowflake growth and Gray–Scott patterns shaped by a chord.
Colour and matter#
A signal’s spectrum, or a tuning’s ratios, turned into a palette.
From a biosignal to the periodic table, and on to materials.
The toolbox paper#
The examples that accompany the paper.
The figures, reproduced end to end.