PentaNaTri — an extra pentatonality
Tonalibus 2f-8 penta - 2021-10 - 52x
Tonalibus 2f-8 penta - 2021-10 - 53x
Tonalibus 2f-8 penta - 2021-10 - 54x
Scale and sound samples
- Pentatonality matrix: The octave of a regular pentatonality includes two Reach steps, three whole steps, and no half step (or semitone). One or two consecutive whole steps frame and separate the two Reach steps. An extra pentatonality can be with two consecutive Reach steps and three consecutive whole steps. Or it can be with three Reach steps, at least two of them consecutive, plus one whole and one half step. Or further, it can be with a double whole step, one or two Reach steps, one or two whole steps, plus one or no half step.
- PentaNaTri: The name indicates that this is a pentatonality based on the initial Na(tural) harmonics. But it jumps over the major second (or third halftone position) to the tritone.
- Step pattern: Ascending from the fundamental (tonic or Do), an augmented Reach step spanning over four semitones leads to a whole step. Then comes a half step followed by a Reach step. Finally a whole step leads up to the octave.
- Scale intervals: Major third, tritone, quint, and minor seventh.
- Tetra- and trichords: The lower tetrachord is NaTri and the upper trichord is PentaMin.
- 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 and West anchors both have their right legs only. The contrasting or South anchor has only its head.
- Secondary harmonic anchors: There are no secondary anchors.
- Penta- to hepta- and hexatonality correlation: PentaNaTri is equivalent to HexaNaTriMin and HexaNaTriMix without sixth, or to HexaNa without major second.