ReachMix — a Reach heptatonality
Tonalibus 2b-5 reach – 2023-01 – 18x
Tonalibus 2b-5 reach – 2021-04 – 12
Tonalibus 2b-5 reach – 2021-04 – 13
Tonalibus 2b-5 reach – 2021-04 – 14
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.
- ReachMix: The name indicates that the Reach step is in the lower tetrachord and that the upper has a DorMixolydian tonal character.
- Step pattern: Ascending from the fundamental (tonic or Do), a half step leads to a Reach step. Another half step follows. Then comes the pair of whole steps, a half step, and finally the third individual whole step leading up to the octave.
- Scale intervals: Minor second, major third, quart, quint, major sixth, and minor seventh.
- Tetrachords: The lower tetrachord is harmonic or Reach, the upper is DorMixolydian.
- Harmonic axes: There are two axes at a right angle to each other, NE-SW and WN-ES.
- Primary harmonic anchors: The fundamental or North anchor is fully present. The West anchor is represented by its head and right leg, and the contrast or South anchor as well as the East anchor each with their right leg.
- Secondary harmonic anchors: One secondary anchor is present, SE. It emphasizes the fundamental or North anchor with the quart and to a lesser degree the partial East anchor. This gives weight to the regressive and minor character of this tonality.
- Initial half step and minor second: Least anchored harmonically, the minor second helps to frame the Reach step and to create the first of the two axes. It is key to the balance of major and minor flavor of this tonality and contrasts the underlying, otherwise Mixolydian structure.