Ku
Ku is the second segment of the incremental composition that began with 01 - Sky, Earth and Life, and it musically develops the image of the butterfly through symmetry, reflection, timbral mimicry, temporal cycles, and formal transformation.
The composition is built around the figure of 02 - Ku, rendered as a musical butterfly and principle of sonic transformation.
Harmonic material
The main harmonic material derives from the butterfly chords, symmetrical structures obtained from the relationship between the sigma chord and the epsilon chord.
In the composition, the sigma chord is assumed as the origin of the musical material. It is a five-note chord that contains all the possible interval distances within the octave except the tritone. Starting from this structure, the piece uses smaller chords, the epsilon chords, formed by four notes and capable of generating all possible distances between the seven notes of a natural scale.
The epsilon chords are used as the constructive material of the butterfly’s two wings. The piece explores the four natural versions of these chords and their symmetrical reflections, organizing them into a bilateral structure.
## Rhythm and meterThe piece is built on an arpeggio in 5/4, chosen in relation to the five notes of the sigma chord.
The odd meter helps make the movement less regular and more organic, while still maintaining a continuous pulse. The arpeggio constitutes one of the load-bearing cells of the composition and runs through the piece as an element of continuity.
Instrumentation
The composition uses various acoustic and electric instruments:
- piano
- electric guitar
- classical guitar
- twelve-string guitar
- bass
- double bass
- drums
- kalimba
- synth
Overall structure
The overall structure of the piece is conceived as a butterfly.
The first half and the second half of the composition are indeed built according to a mirror principle: the second part reflects the first exactly, like an inverted image.
In particular, the electric guitar solo in the second half is the only element obtained through digital reversal of the audio: it reprises the solo from the first part, but played backwards.
For the other elements, however, the mirror principle was applied at the compositional and performative stage, not through simple digital reversal. Bass, double bass, the initial and final theme, harmonic structure, kalimba pattern, and accompaniments were conceived as reflections of the first half of the piece, but were then performed and recorded in full.
The symmetry, however, is not absolute. The butterfly chords, doubled by the twelve-string guitar and the classical guitar, while rendered as mirror images in the progression of the harmonic structure, maintain a linear direction in the internal articulation of the arpeggios. In this way the composition does not merely reverse its own past, but preserves a forward-moving motion.
The seven sections
The piece is divided into seven main sections. This articulation recalls the centrality of the number seven in the numerical system and in the symbolic structure of Solaria.
The seven parts build a formal arc that moves from a luminous initial phase toward a more intense and dramatic central zone, up to a point of musical revelation. After this center, the material returns transformed: the previous sections are taken up again in mirrored form, thus reread from a new perspective.
The overall form is therefore circular and transformative: the piece returns toward its own beginning, but from a different angle.
Symmetries and numerical symbolism
The central measure of the composition is measure 77, chosen as the mirror-measure of the form. The idea is that, by flipping the second digit, the number 77 resembles a butterfly.
The overall duration of the piece, five minutes and twenty-five seconds, is also taken as a symbolic and visual element: 5:25 recalls a bilateral and mirrored structure (particularly evident when written in square-style characters), consistent with the image of two intertwined butterflies.
The seven sections of the piece correspond to the seven symbolic phases into which the Solarians divide life, according to an eighty-four-year cycle divided into seven dozens (childhood 0-12, youth 12-24, adulthood 24-36, searching 36-48; maturity 48-60, fullness 60-72, fulfillment 72-84).
Timbral mimicry
One of the compositional elements of the piece is timbral mimicry, inspired by butterfly wings. To achieve this effect, the volume of the piano and guitar accompaniment is varied so that the two instruments progressively blend into one another. The listener’s perception thus shifts from one sound source to the other without always a clear-cut separation.
Time and rhythmic figures
Within the piece there are musical elements recalling the ticking and passing of time. These figures are realized through series of continuous and equidistant notes, conceived as mechanical and cyclical elements. They create a sonic reference to time, consistent with the mirrored structure of the composition: past and future are arranged like two wings around a center.
The central point of the piece thus takes on the role of the musical present: the place where the form opens, reveals itself, and reverses its own direction.
Melodic and harmonic exploration
The central part of the composition is prepared by a progression based on an ascending chromatic scale, that is, a movement that passes through all twelve notes of the octave. Upon it the electric guitar solo develops, leading toward a more dramatic and unstable zone. After this chromatic accumulation, the piece opens onto a more luminous central section, based on the Lydian scale.
The contrast between ascending chromaticism and Lydian openness constitutes the key passage of the composition.
Autumn Leaves quotation
Hidden within the piece is a quotation from Autumn Leaves. The opening phrase and the closing phrase of the celebrated standard are inserted at two different points in the composition: first in the bass, then in the final notes of the guitar solo. The quotation does not serve a merely ornamental function, but is integrated into the overall form of the piece as a symbolic element of transformation and rebirth.
Butterfly of dissonance
In the central part a musical object appears, defined as the butterfly of dissonance.
This element arises from a transformation of the dissonance curve between two notes: starting from the perception of dissonance between different intervals, the curve is reworked through the principle of interval inversion and arranged in polar form, generating a figure resembling a butterfly.
From a musical point of view, this figure is made to emerge through the twelve notes of the chromatic total, with the exclusion of the tritone. This exclusion connects the butterfly of dissonance to the symbolic system of the sigma chord, in which the tritone represents the missing interval and the point external to the structure.