Noise Engineering - Tonnetz Sequent

Triad generator mapping gate inputs
Noise Engineering - Tonnetz Sequent
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The Noise Engineering Tonnetz Sequent is a triad generator that maps gate inputs to the triadic transforms of the Eularian Tonnetz allowing one to move through triadic space with rhythm. It outputs three - 1 v/8 va control voltages to control the pitch of oscillators. It has three gate inputs for the standard Tonnetz transforms: Parallel, Leading, and Relative. There are also inputs to reset the triad to a reference triad, perform semitone transpose and change which triad types form the transform domain (major/minor, augmented/major, diminished/minor).

Patch Tutorial

Pick three oscillators. Connect each pitch out (Root, third, Fithh) of Tonnetz Sequent to one pitch input of each oscillator. Depress the TUNE button and use the pitch controls on the oscillators to adjust their pitches to unison. Turn the Group knob fully CCW.

Use the PLR buttons to explore the Eulerian Tonnetz. Each time you hit a button it will change the triad to a musically related triad.

Gates can be input to control the transforms. Connecting three rhythm outputs, perhaps from a Zularic Repetitor, to the PLR jacks will generate a triadic sequence.

To reset the sequence to the reference triad, hit the H button or trigger the H input.


  • Root (pitch output 1 v/8 va) - Outputs the pitch of the root note of the triad.
  • Third (pitch output 1 v/8 va) - Outputs the pitch of the middle note of the triad, typically a third above the root.
  • Fifth (pitch output 1 v/8 va) - Outputs the pitch of the top note of the triad, typically a fifth above the root.
  • P (button, gate input) - Parallel Transform. When in the major mode. P moves the third down a semitone; when in minor P moves the third up a semitone.
  • L (button, gate input) - Tone Exchange Transform. When in the major mode, L moves
  • R (button, gate input) - Relative Transform. When in the major mode, R moves the fifth up a tone; When in minor, R moves the root down a tone.
  • M (button, gate input) - Mode transform; changes which pair of triad sets that the transforms act upon. It switches between minor/major, major/augmented, augmented/major, major/minor, minor/diminished, diminished/minor and then back to the start.
  • H (button, gate input) - Home transform; changes the current triad back to the reference triad for the current Mode pair.
  • T (button, gate input) - Transpose transform. Transforms all notes of the triad one semitone up.
  • Group (knob, cv jack input 0-8 v) - The group control changes the structure of the transforms by adding a dihedral rotation to P, L and R. The knob and cv input sum together. When fully CCW PLR are canonical.
  • Modulo (switch) - When enabled triads are constrained within one octave. Pitches that would fall outside of the octave are mapped to their equivalent tone class within the base octave.
  • Gate(jack gate output) - The Gate output will generate a 20ms pulse every time any transform input occurs
  • (switch or gate). It is essentially a trigger combiner for all gate inputs.
  • Tune (button) - Depressing the tune button will cause all pitch outputs to be the same as long as it is depressed. This is used to tune connected oscillators

Additional Information

Condition New
Maximum Depth 0.8 in
Chassis module
Module Slot Count 8hp
Connector Type 3.5mm
Power Consumption +50 mA/-5 mA

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