Abstract: A polyphonic, chromatic keyboard, whose notes are alternately distributed across two sub-keyboards arranged in thirds on each sub-keyboard. On each sub-keyboard, the notes are distributed across a tiling of basic triangles that is symmetrical from one sub-keyboard to the other and that peaks at one note, i.e. the major third thereof, and the minor third thereof. Thus, the quality of an interval, and consequently that of a chord or mode, does not vary with a nearby symmetry/translation. The harmonic material is represented by easily memorizable shapes. The relationships between chords are represented by geometrical movements. The keyboard can thus be a pedagogical aid for learning and understanding harmonic rules. The keyboard enables the user to play a bass line and a harmonic or melodic accompaniment simultaneously, feel the harmonic rhythm, and play with virtuosity. The keyboard can be fit onto a portable instrument, thus making it possible to play comfortably.

Abstract: A polyphonic, chromatic keyboard, whose notes are alternately distributed across two sub-keyboards arranged in thirds on each sub-keyboard. On each sub-keyboard, the notes are distributed across a tiling of basic triangles that is symmetrical from one sub-keyboard to the other and that peaks at one note, i.e. the major third thereof, and the minor third thereof. Thus, the quality of an interval, and consequently that of a chord or mode, does not vary with a nearby symmetry/translation. The harmonic material is represented by easily memorizable shapes. The relationships between chords are represented by geometrical movements. The keyboard can thus be a pedagogical aid for learning and understanding harmonic rules. The keyboard enables the user to play a bass line and a harmonic or melodic accompaniment simultaneously, feel the harmonic rhythm, and play with virtuosity. The keyboard can be fit onto a portable instrument, thus making it possible to play comfortably.