Tonnetz - tone network - from German tonnetz 'tone network'
Sequent - sequence - from Latin sequentia 'sequence'
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 - 1v/8va 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 transposition and change which triad types form the transform domain (major/minor, augmented/major, diminished/minor).
Pick three oscillators. Connect each pitch out (Root, Third, Fifth) 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.
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.
When the Modulo is 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.
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.
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 .
- CV generated meant specifically for tonal chords and other triads
- Outputs three different 1v/oct CV signals for use with other oscillators
- LED indication for chord type: augmented, major, minor and diminished
- Easily tunable with the Tune button, which locks all the outputs to the same voltage to sync the pitch of the three oscillators
- The P, L, and R buttons move patterns in the Eularian Tonnetz. Each time you hit a button it will change the triad to a musically related triad.
- Trigger inputs for modulating the P, L and R settings
- To reset the sequence to the reference triad, hit the H button or trigger the H input.
- Outputs for Root, third, and fifth scale degrees
- P: 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: Tone Exchange Transform. When in the major mode, L moves the root down a semitone; when in minor, L moves the fifth up a semitone.
- R: Relative Transform. When in the major mode, R moves the fifth up a semitone; When in minor, R moves the root down a semitone.
- M: 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: Home transform; changes the current triad back to the reference triad for the current Mode pair.
- T: Transpose transform. Transforms all notes of the triad one semitone up.
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- Eurorack Module
- Width: 8HP
- Depth: .8 Inches
- Current Draw: 50mA @ +12V, 5mA @ -12V