Advanced MATHS: analog-computing patch recipes
Learning objectives
- learner can use MATHS logic and comparator outputs to build flip-flops, rectifiers, and gate extractors
- learner can exploit feedback and self-patching for shapes beyond Vari-Response, soft-sync, and audio-rate tones
- learner can compose complex modulators — quadrature/arcade LFOs, clock dividers, sub-harmonics, and voltage mirrors
Capstone — one whole task that evidences the objectives
Build an advanced MATHS-centred patch that layers at least four analog-computing operations (e.g. a comparator/flip-flop gate, a feedback-shaped or bouncing-ball envelope, a quadrature or arcade LFO, and a clock divider or sub-harmonic) into one evolving generative voice, recorded as a two-minute take.
Prerequisite modules
This module turns Make Noise MATHS from a function generator into an analog computer at the heart of a small eurorack generative rig — the kind of self-playing ambient/techno voice you leave running on stage while your hands work elsewhere. In a live set, every extra module costs HP and attention; the whole task here is squeezing comparator logic, memory, rectification, and complex modulation out of the one module you already own, so a single MATHS can sequence, animate, and vary a voice for a two-minute unattended take.
The arc starts supported: replicate single recipes from the manual with a steady clock and a scope or tuner as reference. Begin with gate extraction (“MATHS extracts a gate from a CV by comparing it to a threshold and firing an instant EOR pulse”), then hold state with the set-reset flip-flop recipe, and bend slopes with Variable-OUT-to-RISE/FALL self-feedback. Next, combine pairs: cross-trigger two channels into a quadrature LFO, divide a clock with RISE time, pull sub-harmonics from an oscillator. Add rectification (multing a signal through an inverted channel into OR OUT), soft-sync (patching a sawtooth to the lag input of an audio-rate cycling channel), audio-rate oscillator tricks (injecting into the EOC jack), and voltage mirroring (inverting and offsetting via SUM). Each recipe is a JIT pointer you return to mid-patch rather than memorize wholesale — though the comparator, self-feedback, and clock-divider moves recur so often they should become drilled reflexes. The capstone removes the scaffolding: you choose and layer at least four of these operations into one evolving patch and commit it to a recording.
The required atoms are exactly the operations the capstone menu draws from — comparator gates, flip-flop memory, feedback shaping, full-wave rectification, quadrature motion, clock division, sub-harmonics, soft-sync, audio-rate cycling, and voltage mirroring; you cannot assemble four credible layers without fluency across all of them. Supporting atoms deepen the palette: the two-signal comparator variant, arcade trill, bouncing-ball physics, the OR bus and peak detector, CV multiplication, and gate inversion offer alternate layers and richer variations once the core recipes sit under your fingers.
Atoms in this module
Required — these gate the capstone
Supporting — enrichment, not gating