CHAOTIC SYNTHS · 04

Chaotic PM

recursive phase · continuous nonlinear feedback

Character

Forty Fold

A 40 Hz phase shaper folds a 66.6 Hz carrier through a wide 6.66-radian index.

Why these presets were retuned

The recovered work-in-progress values ended six of eight final turns below 4 Hz. These buttons finish between 40 and 389.6 Hz and use a continuous PM transfer so phase wraps no longer become clicks. The exact source tuples and transfer remain preserved as Legacy / Raw reference material.

Performance

Drone · continuous

Note— Bend+0 st Sustainup Expression 100% Waiting for MIDI

Glide mode

Glide timeoff Root noteC4 · 60 Pitch-bend range±2 st

Controller macros · 1 Depth · 2 Mod frequency · 3 Phase index · 4 Chaos / warp · 5 Attack · 6 Release · 7 Glide · 8 Output. Standard MIDI · CC5 glide · CC11 expression · CC64 sustain · CC65 portamento · CC72 release · CC73 attack · CC75 decay · CC120/121/123 panic and reset.

Algorithm

1 turn · final 40 Hz

Transfer

Recursion depth1 Carrier66.6 Hz Logarithmic · 0.001 Hz to 1.2 kHz Starting mod frequency40 Hz Logarithmic · 0.001 Hz to 400 Hz Frequency divisor÷10 Starting phase index6.66 Smooth index · radians Index divisor÷6.5 Chaos / phase warp0.512 Smooth blends linear and tanh-shaped feedback. Legacy uses the original filter coefficient.

Carrier66.6 Hz sine Entry40 Hz · index 6.66 rad Turns1: 40 Hz · I 6.66 · drive 5.096 Transfercontinuous tanh control · k 5.096 Outputoperator 1 · 40 Hz · normalized Ceiling20 kHz

Smooth mode shapes the previous sine continuously and applies it inside a periodic PM oscillator, so phase wrapping cannot create a waveform seam. Legacy / Raw preserves the asymmetric signed-% 1 experiment and can intentionally sound clicky. Live parameters glide; depth and transfer changes crossfade; normalization, dynamics, and a soft ceiling protect the output.

Family

FM / PM · linear / warped

Recursive FM

Linear signal → frequency. Each sine drives the next oscillator’s rate.

Recursive PM

Linear signal → phase. Each sine displaces the next oscillator’s phase.

Chaotic FM

Tanh signal → signed frequency. The nonlinear signal sets the next rate.

Chaotic PM

Tanh-shaped signal → phase. Nonlinear feedback displaces the next oscillator without breaking phase periodicity.

DSP reference

algorithm + audio path