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Build your own tone stack or apply a curated preset, then start playback.
Headphone-first tone engine for sleep, focus, meditation, and cognitive flow.
Build your own tone stack or apply a curated preset, then start playback.
Evidence Level: Mixed
Citations: Preset-level references shown after selection.
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| f2 | cents | ratio | error | roughness |
|---|
Roughness = Σ over every pair of partials of Plomp & Levelt's dissonance curve
(Sethares' parameterisation, min(a₁,a₂)·(e−3.5x − e−5.75x),
x = 0.24·Δf/(0.0207·fmin + 18.96)). Amplitudes are normalised per tone, so
0 is perfectly smooth and ~0.18 is the maximum a single partial pair can contribute.
Below ~15 Hz you hear one tone throbbing. Above that it turns to roughness, and once Δf exceeds the critical bandwidth the two tones separate out and the roughness dies away. Pan them to opposite ears and the roughness mostly vanishes — it is generated inside one cochlear filter, not in the air.
Drag the lowest harmonic up past 1 — the fundamental disappears from the spectrum but the pitch does not move. Now add a constant shift to every partial: the spacing stays the same, yet the pitch slides. That is the pitch of the residue, and it is why the model is pattern-matching, not a filter.
Octave-spaced sines under a fixed bell-shaped loudness envelope. Every component rises, but the envelope never moves, so the spectrum after one octave is identical to where it started. Pitch chroma climbs forever; pitch height goes nowhere.
Band-limited noise masker plus a pulsed probe. Drop the probe until it vanishes, then move it away in frequency and it reappears at the same level. The shaded region is the predicted masked threshold — an ERB-wide filter skirt, shallow upward in frequency and steep downward, which is why bass masks treble far better than the reverse.