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// MQ Synthesizer
// Replica oscillator bank for sinusoidal synthesis
// Evaluate cubic bezier curve at time t
function evalBezier(curve, t) {
// Normalize t to [0, 1]
const dt = curve.t3 - curve.t0;
if (dt <= 0) return curve.v0;
let u = (t - curve.t0) / dt;
u = Math.max(0, Math.min(1, u));
// Cubic interpolation
const u1 = 1.0 - u;
return u1*u1*u1 * curve.v0 +
3*u1*u1*u * curve.v1 +
3*u1*u*u * curve.v2 +
u*u*u * curve.v3;
}
// Simple deterministic PRNG (for frequency spread and jitter)
function randFloat(seed, min, max) {
// LCG parameters
const a = 1664525;
const c = 1013904223;
const m = 0x100000000; // 2^32
seed = (a * seed + c) % m;
const normalized = seed / m;
return min + normalized * (max - min);
}
// Synthesize audio from MQ partials
// partials: array of {freqCurve, ampCurve, replicas: {offsets, decay_alpha, jitter, spread_above, spread_below}}
// sampleRate: output sample rate (Hz)
// duration: output duration (seconds)
// Returns: Float32Array of PCM samples
function synthesizeMQ(partials, sampleRate, duration) {
const numSamples = Math.floor(sampleRate * duration);
const pcm = new Float32Array(numSamples);
// Default replica config
const defaultReplicas = {
offsets: [1.0], // Just fundamental
decay_alpha: 0.1,
jitter: 0.05,
spread_above: 0.02,
spread_below: 0.02
};
for (let i = 0; i < numSamples; ++i) {
const t = i / sampleRate;
let sample = 0.0;
for (let p = 0; p < partials.length; ++p) {
const partial = partials[p];
const freqCurve = partial.freqCurve;
const ampCurve = partial.ampCurve;
// Skip if outside curve time range
if (t < freqCurve.t0 || t > freqCurve.t3) continue;
const f0 = evalBezier(freqCurve, t);
const A0 = evalBezier(ampCurve, t);
// Use default replicas if not specified
const replicas = partial.replicas || defaultReplicas;
const offsets = replicas.offsets || [1.0];
const decay_alpha = replicas.decay_alpha || 0.1;
const jitter = replicas.jitter || 0.05;
const spread_above = replicas.spread_above || 0.02;
const spread_below = replicas.spread_below || 0.02;
// For each replica offset
for (let r = 0; r < offsets.length; ++r) {
const ratio = offsets[r];
// Frequency spread (asymmetric randomization)
const seed1 = i * 12345 + p * 67890 + r;
const spread = randFloat(seed1, -spread_below, spread_above);
const f = f0 * ratio * (1.0 + spread);
// Amplitude decay
const A = A0 * Math.exp(-decay_alpha * Math.abs(f - f0));
// Phase with jitter
const seed2 = seed1 + 1;
const jitterPhase = randFloat(seed2, 0.0, 1.0) * jitter * 2.0 * Math.PI;
const phase = 2.0 * Math.PI * f * t + jitterPhase;
sample += A * Math.sin(phase);
}
}
pcm[i] = sample;
}
// Normalize to prevent clipping
let maxAbs = 0;
for (let i = 0; i < numSamples; ++i) {
maxAbs = Math.max(maxAbs, Math.abs(pcm[i]));
}
if (maxAbs > 1.0) {
for (let i = 0; i < numSamples; ++i) {
pcm[i] /= maxAbs;
}
}
return pcm;
}
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