Here you find hexatonalities that qualified for inclusion in the catalogue of harmonically anchored tonalities. In the tables below you see an overview of them, those that were inculded, as well as some that were not. Some of their names, as chosen by Tonalibus, reflect correlations with diatonic heptatonalities. We can see hexatonalities as heptatonalities with a missing pitch. This introduces a Reach step or augmented second into their scale. Further, this makes hexatonalities more or less ambiguous and positions them in between two or more diatonic or other tonalities.
Fully anchored subgroup HexaBlu(e)
Partially anchored subgroup Hexa(Lo)Cor
Partially anchored subgroup HexaNa
Partially anchored subgroup HexaPro
On the page Tonalities, you find a list of all anchored tonalities included in the catalogue, along with a side-by-side juxtaposition of their scale patterns, as well as a general overview of fundamental pitch distribution patterns.
Common characteristics of hexatonalities
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.