HexaNaTriMin — a hexatonality
Tonalibus 2e-7 hexa – 2021-11 – 80x
Tonalibus 2e-7 hexa – 2021-11 – 81x
Tonalibus 2e-7 hexa – 2021-11 – 82x
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. Then there are also two cases with an augmented Reach (spanning four half), three whole, and two half steps, plus one case with three Reach and three half steps.
- HexaNaTriMin: The name indicates that this is a hexatonality based on the initial Na(tural) harmonics. But it jumps over the major second (or third halftone position) to the tritone and minor sixth. The latter then makes the upper tetrachord PhrygAeolian.
- Step pattern: Ascending from the fundamental (tonic or Do), an augmented Reach step spanning over four semitones leads to a whole step. Then come two consecutive half steps. Finally two consecutive whole steps lead up to the octave.
- Scale intervals: Major third, tritone, quint, minor sixth, and minor seventh.
- Tetrachords: The lower tetrachord is NaTri and the upper is PhrygAeolian.
- Harmonic axes: There is one axis, which is tilted, ES-WN.
- Primary harmonic anchors: All four primary anchors are but partially present. The fundamental or North anchor has its head and its right leg only. The East anchor has both legs but no head. The contrasting or South anchor has its head only. And the West anchor has only its right leg.
- Secondary harmonic anchors: There are no secondary anchors.
- Moduation potential: Hexatonalities can facilitate modulations. HexaNaTriMin is closely related to ReachNaMin, LydAeolian/HeptaNa, and other NaTri tonalities like HexaNaTriMix and PentaNaTri.