HexaProReach — a Pro tonality and hexatonality
Tonalibus 2e-7 hexa – 2021-04 – 73
Tonalibus 2e-7 hexa – 2021-04 – 74
Tonalibus 2e-7 hexa – 2021-04 – 75
Tonalibus 2e-7 hexa – 2021-04 – 76
Scale and sound samples
- Hexatonality matrix: The octave generally includes one Reach step, four whole steps, and a single half step (or semitone). Two or three (or exceptionally all four) whole steps appear consecutively. Thus there are two pairs of consecutive whole steps or a trio plus a single. They are framed by the half step on one side and the Reach step on the other. Exceptionally there can be two Reach, two whole, and two half steps. Plus there is one case with three Reach and three half steps.
- HexaProReach: The name indicates that this is a hexa- and Pro tonality with the upper tetrachord Reach. As Pro tonality, the lower tetra- or trichord is major without the regressive quart. The identifier Pro stands for progressive.
- Step pattern: Ascending from the fundamental (tonic or Do), two consecutive whole steps lead to a Reach step. Then follows a half step and a second Reach step. Finally a half steps leads up to the octave.
- Scale intervals: Major second, major third, quint, minor sixth, and major seventh.
- Tetra- and trichords: The lower tetra- or trichord is PentaMaj and the upper is Reach.
- Harmonic axes: There is one axis, EN-WS.
- Primary harmonic anchors: All four primary anchors are partially present. The fundamental or North anchor is the only one with its head. Plus is has its right leg. The West anchor has both legs. The East and the Contrast or South anchor each have only their left leg.
- Secondary harmonic anchors: One secondary anchor is present, SW. It emphasizes the fundamental North anchor with the quint as well as to a lesser degree the West anchor.
- Hexa- to Hepta- and Pentatonality correlation: HexaProReach is equivalent to MajReach without quart.