ReachNaMix — a Reach heptatonality
Tonalibus 2b-5 reach – 2023-01 – 77
Tonalibus 2b-5 reach – 2021-09 – 62
Tonalibus 2b-5 reach – 2021-09 – 63
Scale and sound samples
- Reach or harmonic tonality matrix: The octave includes one or exceptionally two (double harmonic) Reach steps (augmented seconds) framed by half steps (or semitones) or exceptionally by a whole and a half step. There are either three whole steps or exceptionally just one. If three of them, they are in most cases either a pair and a single one separated by the third half step, or a trio framed by half steps. Exceptionally though all three whole steps are singles. When a trio of consecutive whole steps, they are preceded or followed by two consecutive half steps. The total number of half steps is three, or exceptionally four with two (double harmonic) Reach steps.
- ReachNaMix: The name indicates that the lower tetrachord is ReachNa and the upper DorMixolydian.
- Step pattern: Ascending from the fundamental (tonic or Do), a half step leads to a Reach step. Then comes a whole step followed by a half step and another whole step. Finally a half step and a whole steps lead up to the octave.
- Scale intervals: Minor second, major third, tritone, quint, major sixth, and minor seventh.
- Penta- and tetrachords: The lower pentachord is ReachNa and the upper tetrachord is DorMixolydian.
- Harmonic axes: There are three axes, one vertical and the other two tilted at a right angle to each other: N-S, NE-SW, and ES-WN.
- Primary harmonic anchors: The fundamental or North, the contrast or South, and the West anchor are each partially present with their heads and right legs only. Also partially present is the East anchor its right leg only.
- Secondary harmonic anchors: There are no secondary anchors.