VARIATIONS. MORE THAN ONE SCALE.

The colours
of noise.

A hiss, broad waves, a changing rhythm. Noise has a texture: β describes the balance between its slow and fast variations.

See and listen View the solar archive

THREE THEORETICAL SLOPES

Room for every rhythm.

Slow variations sit on the left of the spectrum; fast ones on the right. As β increases, the model gives more weight to slow variations. We always examine a specific frequency band.

P(f) ∝ 1/fᵝOn a logarithmic spectrum, the slope is −β.

THE WORKSHOP / SYNTHETIC EXAMPLES

See. Listen. Compare.

SYNTHETIC SIGNAL · NO OBSERVED STREAM

Choose a texture, then another explanation. Each plot and sound comes from the same precomputed example.

What if the slope came from something else?

Reading the precomputed examples…

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Example —

All examples share the same peak ceiling, not the same perceived loudness. Listening is optional.

Model β: —
β estimated from P(f): —
Estimation band: —

Variation over time

Minimum and maximum of the audio samples, grouped in sets of 32. The amplitude scale is the same for every example.

Room for each frequency

The spectrum and β use the same PCM16 samples as the sound. Switching views preserves β and the estimation band.

How these examples are calculated

Two fixed seeds per scenario, without selecting results. The plots and WAV files share exactly the same quantized samples. Peak amplitude is scaled to 0.1 of full scale; average intensity and perceived loudness still differ.

Welch: 2,048-point segments, 1,024-point overlap, periodic Hann window and linear detrending. The descriptive slope uses 12 logarithmic bands; the plot retains occupied spectral bands.

Corpus fingerprint : —

Example manifest

View the spectral values

Spectral values of the selected synthetic signal
Frequency (Hz)	P(f) (FS²/Hz)	f × P(f) (FS²)

ANOTHER STEP / ARCHIVED MEASUREMENTS

And in the solar wind?

ACE · 2025

The ACE 2025 study examines archived magnetic field measurements. Components Bx, By, Bz and the magnitude |B| remain separate: they describe different quantities.

Reading the ACE 2025 study report…

A historical archive, separate from the sound examples and current sensors. Model comparisons will be shown with their periods, coverage and limitations.

Compare models on observatory signals

Study report JSON

EXPLORE FURTHER

The ideas behind the curves.

Timmer & König · 1995Generate noise with a specified spectrum QuantEcon · Sargent & StachurskiShort memory and the AR(1) spectrum SciPy · signal.welchEstimate a spectrum with Welch Wang et al. · MNRAS 20261/f in solar wind data Wang et al. · PNAS 2026Field components and magnitude ACE MAG · Smith & NessThe source of the archived measurements

A slope opens a question. Comparison makes it more precise.

How Trinity measures signals

The coloursof noise.

Room for every rhythm.

See. Listen. Compare.

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And in the solar wind?

The ideas behind the curves.

The colours
of noise.