The Tritone as the Human Facing Nature
This entry applies to the relationship between the tritone and the sigma chord the general meaning of the tritone as a symbol of otherness, self-consciousness and the complementarity of opposites.
The sigma chord contains all the distances of the spatial interval vector within the octave, with the exception of the tritone. This absence allows the sigma to assume a particular symbolic function: it represents nature, or the non-self-conscious cosmos, while the tritone excluded from the sigma represents the standpoint of the human being — that is, the consciousness capable of observing, questioning and understanding.
In this sense, the tritone is not simply a missing interval. It is what emerges through absence: the void that makes the overall form visible, as in the Kanizsa triangle. The tritone is therefore external to the sigma, but not to the chromatic total; it is outside nature understood as the sigma field, but belongs to the overall world as the consciousness that distinguishes itself from the whole while remaining part of it.
The Tritone as Dynamic and Fertile Imbalance
The five notes of a sigma chord symbolise the five natural elements: space, matter, energy, time and light. Each of them is articulated into two complementary polarities.
| Natural element | First polarity | Second polarity |
|---|---|---|
| Space | Macrocosm | Microcosm |
| Matter | Form | Essence |
| Energy | Potentiality | Act |
| Time | Future | Past |
| Light | Reflected light | Radiated light |
Within a sigma chord, four notes belong to one polarity, while a single note is placed in the opposite polarity. This imbalance introduces an internal difference: the chord retains a strong overall coherence, but also contains an element of otherness that makes it more unstable and more fertile.
From this standpoint, the sigma can be interpreted as a transformed pentatonic. For example, the sigma of D:
D–E–A–C–D♭
is very similar to the pentatonic:
D–E–G–A–C
The difference lies in a single note: G is shifted by a tritone and becomes D♭. This displacement alters the consonant stability of the pentatonic and introduces a decisive tension. The structure becomes more dissonant, but also richer, because precisely that deviation allows it to generate almost all the possible distances within the octave.
The Tritone as Dynamic Equilibrium of Nature
A broader form of the same otherness manifests itself in the relationship between two complementary sigma chords. Corresponding to the sigma of D:
D–E–A–C–D♭
is indeed the complementary sigma of A♭, in which each note of the first chord finds its counterpart at a tritone distance:
A♭–B♭–E♭–G♭–G
The two chords are distinct and complementary: each represents a partial configuration, but together they form a broader system in which the five natural elements present both of their polarities. The tritone distance separating the two sigmas therefore places them in a relationship of opposition and mutual completion.
The tritone thus becomes the musical sign of a relationship in which each pole finds its fulfilment in confrontation with its opposite. It does not indicate only a harmony of opposites, but a dissonant harmony: a form of equilibrium that does not arise from similarity, but from the connection between differences.
In this sense, dissonance is not conflict but the possibility of completeness. The tritone introduces a tension that prevents the structure from closing into a self-sufficient stability, and instead opens it to relationship, transformation and mutual completion.