Aliquoto: mathematical additive synthesizer

/// Aliquoto

pure additive · arbitrary ratios tabota enabled MIDI —

presets

bank

spectrum Y=

ready

Σ ceil

X pitch Hz the reference hz/f0 resolve against — keyfollow. Fixed today; becomes the played note later (multi-instrument keyboard).

partial r : a : p° or r:a:p:A:D:S:R · sum sum n=1..N : r(n,t) : a(n) : p(n) (+ optional :A:D:S:R) · env env : f(r) · gain gain : f(t,r,hz,f0,a) · adsr adsr : A(r) : D(r) : S(r) : R(r).
in a/p/env/adsr/where you also have r (this partial's ratio), hz (=r·X), f0 (=X). Use t in r/env/gain for time motion; r(t) must be positive at t=0 (use t+1). gain/env time functions are clipped to 0..1 then multiplied by a. conditionals iff(cond,a,b) odd(n) even(n) step between clamp · compare < > <= >= == != && || (true=1).
fns prime fib sin cos exp log sqrt pow abs mod clip01 adsr · consts pi e phi tau · ^ power · # comment. Drag a partial = amp; bake writes it back as math.

voice

A4 Hz oct voices

master

attack

decay

sustain

release

per-partial drift

spread¢

rate Hz

spread = static random detune per partial · rate>0 = each partial slowly wanders. Dequantize the dead-steady tone.

SPECTRUM · log₂ ratio axis · select or move partials

WAVE · Σ aₙ sin(2π rₙ t + φₙ) · live=magenta

interface

EDO

ƒ the math, naked