Tonalities

Catalogue of tonalities

Harmonically anchored tonalities generally include in their scale both the quint as well as the quart, also known as the perfect fifth and perfect fourth. The quint represents the progressive and the quart the regressive anchor. Further though, there is also a considerable number of tonalities that qualify as harmonically anchored, which include only one or the other of these two pitches, mostly the quint.

This catalogue presents the following groups of anchored tonalities. Below you find a few visuals presenting an overview of the tonalities included in the catalogue and some of their underlying scale patterns. Further, there is a high level summary of the elements, audio clips, and visuals in the catalogue for each given tonality. Beyond this, Tonalibus presents some tonality progressions, inversions, and derivatives, which are not fully detailed in the catalogue, for example for Core tonalities and the tetratonality progression.

Tonalities in the catalogue and basic scale patterns

Tonalibus 1e-3 tonalities – 2021-08 – 47y
Tonalibus 1e-3 tonalities – 2021-11 – 48x
Tonalibus 1e-3 tonalities – 2023-12 – 49x
Tonalibus 1e-3 tonalities – 2023-12 – 56x
Tonalibus 1e-3 tonalities – 2024-01 – 58
Tonalibus 1e-3 tonalities – 2024-01 – 59
Tonalibus 1e-3 tonalities – 2024-01 – 64
Tonalibus 1e-3 tonalities – 2024-01 – 65x
Tonalibus 1e-3 tonalities – 2024-05 – 69
Tonalibus 1e-3 tonalities – 2023-12 – 75
Tonalibus 1e-3 tonalities – 2023-02 – 79x
Tonalibus 1e-3 tonalities – 2023-11 – 81
Tonalibus 1e-3 tonalities – 2024-01 – 88
Tonalibus 1e-3 tonalities – 2024-05 – 89
Tonalibus 1e-3 tonalities – 2024-01 90
Tonalibus 1e-3 tonalities – 2024-01 – 91
Tonalibus 1e-3 tonalities – 2024-01 – 92
Tonalibus 1e-3 tonalities – 2024-01 – 93y
Tonalibus 1e-3 tonalities – 2024-01 – 94
Tonalibus 1e-3 tonalities – 2024-01 – 95
Tonalibus 1e-3 tonalities – 2024-01 – 96y
Tonalibus 1e-3 tonalities – 2024-01 – 97
Tonalibus 1e-3 tonalities – 2024-01 – 98x
Tonalibus 1e-3 tonalities – 2024-05 – 99
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Tonalibus 1e-3 tonalities - 2021-08 - 47y
Tonalibus 1e-3 tonalities - 2021-11 - 48x
Tonalibus 1e-3 tonalities - 2023-12 - 49x
Tonalibus 1e-3 tonalities - 2023-12 - 56x
Tonalibus 1e-3 tonalities - 2024-01 - 58
Tonalibus 1e-3 tonalities - 2024-01 - 59
Tonalibus 1e-3 tonalities - 2024-01 - 64
Tonalibus 1e-3 tonalities - 2024-01 - 65x
Tonalibus 1e-3 tonalities - 2024-05 - 69
Tonalibus 1e-3 tonalities - 2023-12 - 75
Tonalibus 1e-3 tonalities - 2023-02 - 79x
Tonalibus 1e-3 tonalities - 2023-11 - 81
Tonalibus 1e-3 tonalities - 2024-01 - 88
Tonalibus 1e-3 tonalities - 2024-05 - 89
Tonalibus 1e-3 tonalities - 2024-01 90
Tonalibus 1e-3 tonalities - 2024-01 - 91
Tonalibus 1e-3 tonalities - 2024-01 - 92
Tonalibus 1e-3 tonalities - 2024-01 - 93y
Tonalibus 1e-3 tonalities - 2024-01 - 94
Tonalibus 1e-3 tonalities - 2024-01 - 95
Tonalibus 1e-3 tonalities - 2024-01 - 96y
Tonalibus 1e-3 tonalities - 2024-01 - 97
Tonalibus 1e-3 tonalities - 2024-01 - 98x
Tonalibus 1e-3 tonalities - 2024-05 - 99
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Elements and details in the catalogue

Scale and sound samples

Harmonic visuals

First the catalogue displays a set of harmonic visuals for each tonality. These display the tonality’s pitch distribution within the octave in two small linear graphs. The pitch step pattern highlights the step sizes relative to the twelve half-tone steps in the octave. The second one presents the position of a tonality’s pitches as interval from the fundamental. For each tonality, the catalogue provides multiple circular representations. These are extensive views of the harmonic properties of a tonality. One of them highlights the individual pitches’ coloring within the octave. Another view displays the interval color distribution, and the harmonic axes if there are any. Then there is one that features the pitches’ relations to primary harmonic anchors. And, if a tonality contains secondary harmonic anchors, each of these is shown on an additional view.

Characteristics

Finally, for each tonality, there is a listing of individual characteristics. This includes a group matrix, name explanation, step pattern, scale intervals, tetrachords, axes, primary and secondary anchors, distinguishing features, etc. To capture harmonic characteristics in words (and different languages) can be quite challenging at times, not to be misunderstood.