LydReach / NaReach — a prime Na tonality and Reach heptatonality
Tonalibus 2b-5 reach – 2023-01 – 103
Tonalibus 2b-5 reach – 2021-09 – 87
Tonalibus 2b-5 reach – 2021-10 – 89x
Tonalibus 2b-5 reach – 2021-10 – 90
Tonalibus 2b-5 reach – 2021-09 – 89
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.
- LydReach / NaReach: The name indicates that the lower tetrachord is Lydian and the upper Reach.
- Step pattern: Ascending from the fundamental (tonic or Do), three consecutive whole steps lead to two consecutive half steps. Then comes a Reach step followed by a half step that leads up to the octave.
- Scale intervals: Major second, major third, tritone, quint, minor sixth, and major seventh.
- Penta- and tetrachords: The lower pentachord is Lydian and the upper tetrachord is Reach.
- Harmonic axes: There are two axes, one vertical and the other tilted: N-S and EN-WS.
- Primary harmonic anchors: All four are but partially present. The fundamental or North anchor has its head and right leg, the contrast or South anchor its head and left leg. The West anchor has both its legs, and the East anchor its left leg only.
- Secondary harmonic anchors: There are two secondary anchors, SW and NW. One strengthens the fundamental or North anchor and quint, the other the contrast or South anchor. Further, both give to a lesser degree some strength to the West.
- LydReach / NaReach is a primary Na tonality. In the full or slightly shortened Na tonalities progressions depicted below, it transitions the first secondary harmonic to a tertiary.
Tonalibus 1e-3 tonalities – 2021-08 – 75y
Tonalibus 1e-3 tonalities – 2021-08 – 84y
Tonalibus 1e-3 tonalities – 2021-08 – 85y