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Filters: types, cutoff, resonance, and rolloff

  • learner can choose the right filter type (LP/HP/BP) and set cutoff, resonance/Q, and slope for a spectral shaping goal
  • learner can explain filter behavior from first principles — poles, half-power point, self-oscillation, keytracking — and predict its effect on a rich source

Route a sawtooth through a resonant filter and produce four distinct results — a warm bass, an airy chord voice floating above the sub, a whistling self-oscillation tone, and a keytracked timbre-preserving patch — describing the cutoff/Q/slope settings for each.

The filter is the single most-touched control in subtractive synthesis and in a live-coded set alike: whether you are carving a techno bassline in SuperCollider, keeping a dub chord from fighting the sub, or riding a cutoff sweep as the one gesture the crowd can hear evolving, everything hinges on knowing what a filter will do before you turn the knob. This module builds toward exactly that fluency — one raw sawtooth, four deliberately different sonic outcomes, each justified in terms of type, cutoff, Q, and slope.

The arc starts fully supported. You first internalise the map — the idea that a filter selectively attenuates frequency ranges, and the basic response shapes — then anchor the vocabulary that makes settings predictable rather than guessed: the half-power (−3 dB) definition of cutoff, Q and its reciprocal rq, and the 6 dB-per-octave-per-pole rule for slope. Guided exercises then pull in the procedural atoms as just-in-time how-to pointers: murking a bright oscillator into a low-end bass with a mid-cutoff LPF, tightening sub-bass with a highpass below ~40 Hz, and thinning a chord into an airy voice by highpassing instead of lowpassing. Extreme resonance behaviour (self-oscillation) and keytracking close the set, so that by the capstone you patch all four targets unassisted.

Every required atom gates a capstone deliverable — you cannot describe the whistling tone without self-oscillation, nor the airy chord voice without knowing when to reach for a highpass, nor the timbre-preserving patch without keytrack. Supporting atoms deepen the picture: Surge XT’s filter configurations, offset mode, and scene highpass give a concrete rig to practise in, while ladder topology and the resonance-edge patch show where character and expressivity live beyond the numbers. The two bread-and-butter procedures — LPF bass definition and sub-bass highpassing — recur in nearly every session, so drill them inside real patches until they are automatic.

Runnable examples

Generated from the context/ instrument corpus by concept (redistributable idioms only). Do not edit — regenerate with gen-module-examples.mjs.

resonant-filter

SinOsc s => LPF f => dac; 400 => f.freq;

chuck-0002 · MIT

play :e2, cutoff: 90, res: 0.9, release: 0.3

sonicpi-0022 · CC0

sub-bass

osc 27.5 >> audio

punctual-0002 · CC0-1.0

synth :subpulse, note: :e1, sustain: 0.4, amp: 1.4

sonicpi-0016 · CC0

Atoms in this module

Required — these gate the capstone

A filter selectively attenuates or boosts specific frequency ranges in a signal
Concept L1 Foundations BD
The four basic filter types are defined by which frequency region they pass or attenuate
Concept L1 Foundations BEF
A low-pass filter passes frequencies below its cutoff and attenuates those above it
Concept L1 Foundations BE
A filter's cutoff frequency is the point where output falls to 0.707 of maximum — the half-power (−3 dB) point
Concept L2 First instrument B
A bandpass filter's Q is its center frequency divided by its bandwidth — high Q means a narrow, resonant peak
Concept L2 First instrument B
The rq (reciprocal-Q) parameter of a resonant filter controls the sharpness of the resonance peak at the cutoff
Concept L2 First instrument B
Filter pole count determines the steepness of frequency rolloff: each pole adds 6dB per octave of attenuation
Fact L2 First instrument B
A voltage-controlled filter at maximum resonance self-oscillates into a sine-wave oscillator
Concept L2 First instrument BE
Filter keytrack at 100% makes filter cutoff follow note pitch harmonically, preserving timbre across the keyboard
Principle L2 First instrument B
Keyboard follow routes note pitch to the filter so higher notes open the filter more
Concept L2 First instrument B
A low-pass filter at mid cutoff with minimal resonance murks a bright oscillator into a low-end bass
Procedure L1 Foundations B
High-pass filtering below ~40 Hz removes inaudible subsonic content that makes bass sound flabby
Procedure L2 First instrument BD
A highpass filter rather than lowpass keeps a synth chord thin and airy above the sub-bass
Concept L3 Craft B

Supporting — enrichment, not gating

Frequency response is measured within a stated tolerance window, not a single curve
Concept L2 First instrument BN
Setting filter resonance at the edge of self-oscillation creates a dynamically expressive patch
Concept L3 Craft B
Surge XT's eight filter configurations control serial, parallel, stereo, feedback, and ring-mod signal paths
Concept L2 First instrument B
Surge XT Filter 2 offset mode links its cutoff and resonance to Filter 1 as relative offsets
Concept L2 First instrument B
Surge XT's scene high-pass filter at the end of the voice chain removes DC and unwanted low end per scene
Concept L2 First instrument BD
A resonant filter's circuit topology, not just its cutoff, shapes its sonic character
Concept L3 Craft B
Surge XT's Vintage Ladder filter models the Moog ladder circuit via numerical integration of the differential equation
Concept L3 Craft B
A phaser with feedback adds sweeping notches and a resonant peak that animate a static chord
Concept L2 First instrument B